Leisure Enterprise’s total cost of producing speedboats is given by TC = 10 Q 3 – 4 Q 2 + 25 Q + 500. On the basis of this information, the marginal cost of producing the 25th speedboat is:

Answers

Answer 1

Answer:

The marginal cost of producing the 25th speedboat is 18,575.

Explanation:

Note that the given Leisure Enterprise’s total cost (TC) of producing speedboats is correctly stated as follows:

TC = 10Q^3 - 4Q^2 + 25^Q + 500 …….………….. (1)

Where Q represents the quantity of speedboats produced.

To obtain the marginal cost (MC) of producing speedboats, equation (1) is differentiated with respect to Q as follows:

MC = dTC/dQ = 30Q^2 - 8Q + 25 ………………… (2)

Finding the marginal cost (MC) of producing the 25th speedboat implies that Q = 25.

Substituting Q = 25 into equation (2), we have:

MC = (30 * 25^2) - (8 * 25) + 25 = 18,575

Therefore, the marginal cost of producing the 25th speedboat is 18,575.


Related Questions

Complete the following table:
Exhibit 15-1 Disposable income and consumption data Income (Y) Change in Disposable Income Consumption (C) 0 500 1,000 1,000 1,400 2,000 1,000 2,200 3,000 1,000 2,900 4,000 1,000 3,500 5,000 1,000 4,000 In Exhibit 15-1, when disposable income is increased from $2,000 to $3,000 to $4,000,

Answers

Answer: e. the marginal propensity to consume decreases from 0.7 to 0.6

Explanation:

Calculate the marginal propensity to consumer when the disposable income is increased from $2,000 to $3,000 to $4,000.

The Marginal propensity to consume is calculated by the formula:

= Change in consumption / Change in income

When disposable income increased from $2,000 to $3,000.

= (2,900 - 2,200) / (3,000 - 2,000)

= 0.7

When disposable income increased from $2,000 to $3,000.

= (3,500 - 2,900) / (4,000 - 3,000)

= 0.6

The marginal propensity to consume decreased from 0.7 to 0.6.

Schell Company manufactures automobile floor mats. It currently has two product lines, the Standard and the Deluxe. Schell has a total of $25,740 in overhead. It currently uses a traditional cost system with overhead applied to the product on the basis of either labor hours or machine hours. Schell has compiled the following information about possible cost drivers and its two product lines:

Schell Company Total Quantity/Amount Consumed by Standard Floor Mat Line Quantity/Amount Consumed by Deluxe Floor Mat Line
1,170 labor hours 740 labor hours 430 labor hours
7,000 machine hours 2,900 machine hours 4,100 machine hours

Required:
a. Suppose Schell uses a traditional costing system with direct labor hours as the cost driver. Determine the amount of overhead assigned to each product line.
b. Suppose Schell uses a traditional costing system with machine hours as the cost driver. Determine the amount of overhead assigned to each product line.

Answers

Answer:

Schell Company

Overhead assigned:             Standard   Deluxe

a. Based on Labor hours      $16,280    $9,460

b. Based on Machine hours $10,663   $15,076

Explanation:

a) Data and Calculations:

Total overhead = $25,740

                           Total   Standard    Deluxe  Overhead Rate

Labor hours        1,170          740          430           $22 ($25,740/1,170)

Machine hours 7,000      2,900        4,100            $3.677 ($25,740/7,000)

Overhead assigned:             Standard   Deluxe

a. Based on Labor hours      $16,280    $9,460

                                         ($22 * 740)   ($22 * 430)

b. Based on Machine hours $10,663   $15,076

                                ($3.677 * 2,900)   ($3.677 * 4,100)

State for each account whether it is likely to have (a) debit entries only, (b) credit entries only, or (c) both debit and credit entries when recording business transactions during the month. Also, indicate the normal balance of each account. 1. Fees Earned , normal balance 2. Utilities Expense , normal balance 3. Accounts Payable , normal balance 4. Supplies , normal balance 5. Cash , normal balance 6. Accounts Receivable , normal balance

Answers

Answer:

No. Account Type                                                 Likely account entries

1. Fees Earned , normal balance is credit          (b) Credit entries only

2. Utilities Expense , normal balance is debit     (a) Debit entries only

3. Accounts Payable , normal balance is credit  (c) both debit and credit entries

4. Supplies , normal balance is debit                  (c) both debit and credit entries

5. Cash , normal balance is debit                       (c) both debit and credit entries

6. Accounts Receivable , normal balance is debit (c) both debit and credit entries

Explanation:

Accounts that normally have debit entries include assets (both long-term and current), expenses, and losses.  Accounts that normally have credit entries are liabilities, equity, revenue, income or gains.  Most accounts have debit and credit entries before their normal balances are indicated. The accounts with debit entries are mainly expenses and losses, while revenues and income have mainly credit entries.

You own a portfolio equally invested in a risk-free asset and two stocks (If one of the stocks has a beta of 1 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio

Answers

Answer:

2

Explanation:

Beta measures systemic risk

The higher beta is, the higher the systemic risk and the higher the compensation demanded for by investors

The market has a beta of one. If a portfolio has the same level of systematic risk that is the same as that of the market, its beta would be equal to 1.  

If the portfolio is less risky than the market, its beta would be less than one  

If the portfolio is more risky than the market, its beta would be greater than one

The beta of a risk free asset is zero

The portfolio's beta can be determined by adding together the weighted beta of each stock in the portfolio

1 = (1/3 x 1) + (1/3 x 0) + (1/3 x s)

1 =  1/3 + (1/3 x s)

1 - 1/3 = 1/3s

2/3 = 1/3s

s = 2/3 x 3 = 2

Country A and Country B have had an informal trading arrangement for many years wherein merchants on the border of the countries may freely trade goods without the restriction of fees. Which of the following is true?

a. The government of Country A may not arbitrarily begin to charge fees for items brought in from Country B.
b. Country A and Country B have a binding agreement to this arrangement under customary international law.
c. Country A and Country B have no binding agreement under customary international law.
d. More than one response is correct.

Answers

Answer:

d. More than one response is correct.

Explanation:

Even though international law does not follow common law, and informal agreements are not enforceable between countries, they tend to facilitate the relationship between them. For example, Canada and the US do not have a strict border patrol and no one is asking for a wall to be built on the Canadian border. It is accepted that US and Canadian citizens cross almost freely as tourists. If someone tried to enforce a strong border policy, the other government would oppose it and it would turn into a diplomatic mess and would probably not be enforceable at all.

Help ASAP Please! Accounting class! Lorge Corporation has collected the following information after its first year of sales. Sales were $1,575,000 on 105,000 units; selling expenses $250,000 (40% variable and 60% fixed); direct materials $606,100; direct labor $250,000; administrative expenses $270,000 (20% variable and 80% fixed); and manufacturing overhead $357,000 (70% variable and 30% fixed). Top management has asked you to do a CVP analysis so that it can make plans for the coming year. It has projected that unit sales will increase by 10% next year.
(See screenshots)

Answers

Answer:

Lorge Corporation

Contribution margin for the current year

= $315,000 ($3 per unit)

Contribution margin for the proposed year = $346,500

Fixed costs for the current year = $473,100

Break-even units = 157,700 units

Break-even sales dollars = $2,365,500

Explanation:

a) Data and Calculations:

Sales revenue = $1,575,000  

Sales units = 105,000 units

Sales price per unit = $15 ($1,575,000/105,000)

                                                  Total        Variable               Fixed

Selling expenses =            $250,000     $100,000 (40%)   $150,000 (60%)

Direct materials                  $606,100       606,100

Direct labor                       $250,000       250,000

Administrative expenses $270,000          54,000 (20%)    216,000 (80%)

Manufacturing overhead $357,000       249,900 (70%)      107,100 (30%)

Total costs                       $1,733,100  $1,260,000              $473,100

Contribution margin for the current year = $315,000 ($1,575,000 - $1,260,000)

= $3 per unit

Unit sales = 115,500 (105,000 * 1.1)

Sales revenue = $1,732,500

Variable costs      1,386,000 ($15 - $3)

Contribution margin for the proposed year = $346,500 ($3 * 115,500)

Fixed costs for the current year = $473,100

Break-even units = $473,100/$3 = 157,700 units

Break-even sales dollars = $473,100/0.2 = $2,365,500

The marginal product of labor is defined as the change in:____.
a. output per additional unit of revenue.
b. revenue per additional unit of output.
c. output per additional unit of labor.
d. revenue per additional unit of labor.

Answers

The correct answer is letter A

The change in output for each additional unit of income is known as the marginal product of labor. Hence, Option A is correct.

What is the meaning of marginal product?

The marginal product or marginal physical efficiency of an input factor of production is the change in output that results from employing one more unit of a particular input.

For example, the change in output when a firm's labour is increased from five to six units, assuming that the quantities of other inputs are kept constant.

The slope of the total product curve, which represents the production function plotted against labor usage for a certain amount of capital input use, is the marginal product of labor.

The real wage and the marginal product of labor are identical in the neoclassical theory of competitive marketplaces. The marginal product of capital is equivalent to its rate of return in aggregate models of perfect competition, when one good is created and used as both a capital good and a consumer good.

Therefore, Option A is correct.

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Which of the following is the least effective action individuals and families can take to protect the environment? Limiting the number of children they have Monitoring and enforcing regulations Choosing products and services from green companies Educating themselves on community and global environmental issues

Answers

Answer:

Monitoring and enforcing regulations.

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Locus Company has total fixed costs of $112,000. Its product sells for $35 per unit and variable costs amount to $25 per unit. Next year Locus Company wishes to earn a pretax income that equals 10% of fixed costs. How many units must be sold to achieve this target income level?
A.1,120.
B. 8,214.
C.11,200.
D.12,320.
E.14,080.

Answers

Answer:

D.12,320.

Explanation:

The computation of the number of units to be sold for attaining the target income level is given below:

Target profit

= 10% of fixed cost

= 10% of 112,000

= 11200

Now  

Sales needed = (Fixed costs +target profit) ÷ unit contribution margin

= (112,000+11,200) ÷ (35-25)

= 123,200 ÷ 10

= 12,320 units

Milltown Company specializes in selling used cars. During the month, the dealership sold 32 cars at an average price of $16,000 each. The budget for the month was to sell 30 cars at an average price of $17,000. Compute the dealership's sales price variance for the month.

Answers

Answer:

-$32,000

Explanation:

The sales price variance is a measure used determine the difference between an entity's expected price of a product or service and its actual sales price. It may be favorable or unfavourable to the company and may be calculated as

Sales price variance =  Actual quantity sold * (actual selling price - budgeted selling price)

Hence given that  the dealership sold 32 cars at an average price of $16,000 each while the budget was to sell 30 cars at an average price of $17,000,

Sales price variance = 32 ($16,000 - $17,000)

= -$32,000

The minus indicates unfavourable sales price variance

Hill Company uses the periodic inventory system. It records a transaction that increases the balances in its purchases and accounts payable accounts. Which of the following is true about Hill Company?

a. When the related merchandise is sold, the purchases account will be decreased by the related cost of goods sold.
b. The manner in which this transaction was recorded indicates that Hill returned $6,000 of merchandise to a supplier.
c. The balance in the account will appear on the balance sheet at year end.
d. The manner in which this transaction was recorded indicates that Hill purchased inventory on account.

Answers

Answer:

Hill Company

The true statement about Hill Company is:

d. The manner in which this transaction was recorded indicates that Hill purchased inventory on account.

Explanation:

Purchases made on account (or credit terms) are debited to the Purchases account (periodic inventory system) and credited to the Accounts Payable account.  This increases the amount of purchases and the accounts payable account respectively by the same amount.  If Hill Company uses the perpetual inventory system, the debit goes to the Inventory account and the corresponding credit to the Accounts Payable account.

Sandhill, Inc. has a unit selling price of $920, variable cost per unit of $510, and total fixed costs of $280,850. Compute the break-even sales units and sales dollars.

Answers

Answer:

(A) 685 UNITS

(B) 630,200 DOLLARS

Explanation:

Variable cost + Fixed cost  =  Total Cost

The break-even sales units would be the number of units Sandhill Inc. will sell in order to break even; that is, in order for their total cost to equal their total revenue.

If break-even point is the point where TR = TC then it is the same point at which PROFIT = 0

Recall that profit is the positive difference between total revenue and total cost. The negative difference (that is when TR < TC) is called loss.

Let X be = the break-even quantity or number of units, then we have

920x = 510x + 280850

Remember that VC varies or increases with the number of units produced, and so it has the x attached to it in this equation. FC on the other hand remains the same, regardless of the number of units produced.

So the left hand side of the equation has the total revenue, while the right hand side of the equation has the total cost.

Solving algebraically.

920x - 510x  =  280850

410x  =  280850

x =  280850 ÷ 410  =  685

ANSWER 1

The break-even sales units is 685 units.

The second computation is Sales in Dollars; at break-even sales units.

This revenue or sales is derived thus: Price per unit x Number of units

$920 x 685units  = $630,200

ANSWER 2

The break-even total sales or total revenue is $630,200

KUDOS!

Geraldo is a customer care executive at a telecommunications service provider. He receives a complaint from a customer about an unnecessary $20 charge on his phone bill. If the company follows the customer service management process, Geraldo is most likely to _____.

Answers

Answer:

Provide a quick response to the customer using customer care software.

Explanation:

Software Programs

This is simply regarded as a service tool or software distribution model where software applications are hosted by a vendor or service provider and made available to customers over a network that is often the internet.

There are some of the software that is available. They includes the following:

Inventory managementReceivingStore Replenishment POS etc.

Marketing Channel

This is used by individuals and firms involved in making a product or service available for use or consumption by consumers or industrial users.

Camper's Edge Factory produces two products: canopies and tents. The total factory overhead is budgeted at $750,000 for the year, divided between two departments ----Cutting, $350,000, and Sewing, $400,000. Each canopy requires 2 direct labor hours in Cutting and 1 direct labor hour in Sewing. Each tent requires 1 direct labor hour in Cutting and 6 direct labor hours in Sewing. Production for the year is budgeted for 20,000 canopies and 10,000 tents.

Required:
a. Determine the total number of budgeted direct labor hours for the year in each department.
b. Determine the factory overhead allocated per unit of each product using the department factory overhead allocation rates using direct labor hours as the base.

Answers

Answer:

Camper's Edge Factory

Departments                                  Cutting             Sewing

a. The total number of budgeted

   direct labor hours for the year  60,000            70,000

b. Products                                     Canopy          Tent

   Factory overhead per unit         $17.50            $40

Explanation:

a) Data and Calculations:

Total budgeted factory overhead = $750,000

                                               Canopy        Tent     Total

Direct labor hours  

Cutting                                       2                     1         3

Sewing                                       1                     6         7

Total direct labor hours            3                    7

Budgeted production units 20,000          10,000

Departments                              Cutting                        Sewing

Budgeted factory overhead  $350,000                     $400,000

Direct labor hours:

Canopy                                  40,000 (20,000 * 2)          10,000 (10,000 * 1)

Tent                                       20,000 (20,000 * 1)          60,000 (10,000 * 6)

Total direct labor hours        60,000                              70,000

Overhead allocation rates     $5.833                               $5.714

                         ($350,000/60,000)                              ($400,000/70,000)

Overhead per unit              $17.50 ($5.833 * 3)            $40 ($5.714 * 7)

               

If the economy were run with a strictly Keynesian point of view, what would the government's role be in regards to the U.S. economy?
a. The government is responsible for managing the economy.
b. The government is responsible for monitoring the economy but not interfering with it.
c. The government is responsible for managing the economy with a hands-off approach.

Answers

Answer:

A.

Explanation:

The keynesian prescription for stabilizing the economy implies government intervention at macroeconomic level-increasing aggregate demand when private demand falls and decreasing aggregate demand when private demand rises.

Kylie Co. owns 67% of Jayzee Inc. On their 12/31/2017 pre-consolidation trial balances, Kylie reports $739,972 Liabilities and Jayzee reports $1,601,119 Liabilities. Jayzee owes Kylie $207,709 on this date. What amount should be reported for Liabilities in Kylie's consolidated financial statements

Answers

Answer:

the amount that should be reported for Liabilities in Kylie's consolidated financial statements is $2,187,382

Explanation:

The computation of the  amount that should be reported for Liabilities in Kylie's consolidated financial statements is shown below:

= $793,972 + $1,601,119 - $207,709

= $2,187,382

Hence, the amount that should be reported for Liabilities in Kylie's consolidated financial statements is $2,187,382

The same should be considered

When Joe maximizes utility, he finds that his MRS of X for Y is greater than Px/Py. It is most likely that: Group of answer choices Joe is not consuming good X. Joe's preferences are incomplete. Joe's preferences are irrational. Joe is not consuming good Y.

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Grohl Co. issued 22 year bonds 2 years ago at a coupon rate of 5 percent. The bonds make semiannual payments. If the YTM on these bonds is 11 percent, what is the current bond price?

Answers

Answer:

the current bond price is $518.62

Explanation:

The computation of the current bond price is given below:

Given that

NPER = (22 - 2) × 2 = 40

Assuming future value be $1000

PMT = $1,000 ×5% ÷2 = $25

RATE = 11% ÷ 2 = 5.5%

The formula is given below:

=-PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula, the current bond price is $518.62

define accounting ?

Answers

Answer:

Accounting is the process of recording financial transactions pertaining to a business. The accounting process includes summarizing, analyzing and reporting these transactions to oversight agencies, regulators and tax collection entities.

Answer:

the action or process of keeping financial accounts.

Explanation:

introduce the concept of creativity and innovation​

Answers

Creativity is the capability or act of conceiving something original or unusual. 

Innovation is the implementation of something new that has never been made before and is recognized as the product of some unique insight.

In a board of directors election for five directors and straight voting, a majority group of shareholders will elect a. four directors. b. five directors. c. four or five depending on how the cumulative voters vote. d. the same proportional share of directors as their ownership share.

Answers

Answer: b. five directors

Explanation:

Straight voting refers to a voting convention where shareholders are allowed to cast a single vote towards each director seat for each share they own. This is in contrast to cumulative voting where a single shareholder can decide to cast all their votes to one director.

In such a convention therefore, the majority will elect all five seats because the majority that voted for each seat will decide which director will be elected.

Ayayai Corp. redeemed $158,000 face value, 12% bonds on April 30, 2022, at 102. The carrying value of the bonds at the redemption date was $142,674. The bonds pay annual interest, and the interest payment due on April 30, 2022, has been made and recorded.

Required:
Prepare the appropriate journal entry for the redemption of the bonds.

Answers

Answer and Explanation:

The journal entries are given below:

On 30-Apr

Bond Payable [$158,000]                  158,000  

Loss on Bond redemption [$161,160 - $142,674]                   18,486  

       Discount on bonds payable                    15,326

       Cash [$158,000 × 102%]                   161,160

[being the redemption of the Bond is recorded]  

Here the bond payable and loss is debited as it decreased the assets and increased the losses and credited the cash & discount on bond payable

Read the opening story about Dunkin Donuts and identify at least three types of marketing research that Dunkin used. Fully explain if it is qualitative or quantitative research?

Answers

Answer:

Dunkin Donuts has always tried to maintain its currents customers and attract potential customer through their marketing strategies. Since the company has limited products to offer it has to be very keen on their marketing strategies to make their product successful. The company uses undifferentiated target marketing strategies so that its simple menu is available globally.

Explanation:

The old name of Dunkin Donuts was Open kettle. The company mainly focused on Donuts and Coffee. It has simple yet attractive menu since it specializes in Donuts and none of the competitors have been successful till date to offer Donuts with exact taste like Dunkin Donuts. The company struggles to promote its brand globally. The company has been successful to serve its customers in 40+ countries.

The unit quantity standard of a product is 3 pounds per package, and the unit quantity standard for machine hours is 0.40 hours per package. During August, 210,000 packages were produced. 440,000 pounds and 85,000 hours were used in production. How many pounds and how many machine hours should have been used for the actual output

Answers

Answer:

The pounds of materials should have been

= 630,000 pounds.

The machine hours should have been

= 84,000 hours.

Explanation:

a) Data and Calculations:

Standard materials per package = 3 pounds

Standard machine hours per package = 0.40 hours

Actual production units during August = 210,000 units

Actual materials used = 440,000 pounds

Actual machine hours used = 85,000 hours

Standard materials = 630,000 pounds (210,000 * 3)

Standard machine hours = 84,000 hours (210,000 * 0.40)

Define the advantages that the law affords affords to business corporations. In view of the many advantages that the law affords affords to business corporations, what additional responsibilities or obligations if any should a business corporation have to the public. If you were advising a client on picking a business form explain why a corporation would be a good choice. Also explain why a corporation would be a bad choice.

Answers

The following are the benefits that the law provides to business corporations:

Personal property protection- because the proprietors will have limited accountability for the debts of the company and commitments, lenders will not go for their property funds if the firm cannot give them the money.It is simple to obtain funds by selling stock, allowing the firm to develop by acquiring additional investors.

The following are extra responsibilities that a business entity has to the public:

The business company is required to practise Corporate Responsibility, often referred as CSR, which is defined as the public's legal, moral, or political demand of a corporate enterprise. This indicates that the organisation will engage in certain ethical, moral, and charitable actions to assist better the lives of the people in the communities where they operate.

This can take the shape of building roads, clinics, schools, bridges, planting trees, or any other operation that benefits society but does not generate a return for the business.

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If the price exceeds the average variable cost but is less than the average total cost, a firm Group of answer choices should further differentiate its product. is making some profit but less than maximum profit. should stay in business for a while longer until its fixed costs expire. should shut down

Answers

Answer:

should stay in business for a while longer until its fixed costs expire.

Explanation:

price exceeds the average variable cost, the firm should continue to operate in the short run

If price is less  than the average total cost in the long run, the firm should exit in the long run

Relevant Range and Fixed and Variable Costs
Vogel Inc. manufactures memory chips for electronic toys within a relevant range of 61,600 to 100,800 memory chips per year. Within this range, the following partially completed manufacturing cost schedule has been prepared:
Components produced 61,600 79,200 100,800
Total costs:
Total variable costs . . . . . . . . . $19,712 (d) (j)
Total fixed costs . . . . . . . . . . . . 22,176 (e) (k)
Total costs . . . . . . . . . . . . . . . . . $41,888 (f) (l)
Cost per unit:
Variable cost per unit . . . . . . . (a) (g) (m)
Fixed cost per unit . . . . . . . . . . (b) (h) (n)
Total cost per unit . . . . . . . . . . (c) (i) (o)
Complete the cost schedule below. When computing the cost per unit, round to two decimal places. Round all other values to the nearest dollar.
Cost Report
Components produced 61,600 79,200 100,800
Total costs:
Total variable costs $19,712 (d) $ (j) $
Total fixed costs 22,176 (e) (k)
Total costs $41,888 (f) $ (l) $
Cost per Unit
Variable cost per unit (a) $ (g) $ (m) $
Fixed cost per unit (b) (h) (n)
Total cost per unit (c) $ (i) $ (o) $

Answers

Answer:

Variable cost per unit is constant.

Total fixed cost is constant.

Explanation:

Cavern Company's output for the current period results in a $6,400 unfavorable direct material price variance. The actual price per pound is $62.00 and the standard price per pound is $60.00. How many pounds of material are used in the current period

Answers

Answer:

3,200 unit

Explanation:

Direct materials price variance = Quantity used * (Standard price - Actual price)

-$6,400 = Quantity used * ($60.00 - $62.00)

-$6,400 = Quantity used * -$2.00

Quantity used = -$6,400/-$2.00

Quantity used = 3,200 unit

So, the quantity of pounds of material used in the current period is 3,200 unit

A government began 2013 with a budget deficit and a trade deficit. During the year, the government changed its policy and is now running a budget surplus. If all other factors hold constant, this change in policy will cause:

Answers

Answer:

the exchange rate and the trade deficit to decrease.

Explanation:

A deficit can be defined as an amount by which money, falls short of its expected or required value.

Generally, deficit in financial accounting is usually as a result of expense exceeding revenue or revenue falling below expenses at a specific period of time.

For instance, when liabilities exceeds assets or import exceeds export there would be a deficit in the financial account.

Generally, a deficit on the current account ultimately implies that the value of goods and services exported is lower than the value of goods and services being imported in a particular country.

In 2013, government began with a budget deficit and a trade deficit. During the year, the government changed its policy and is now running a budget surplus.

Hence, this change in policy will cause the exchange rate and the trade deficit to decrease if all other factors hold constant

Discuss various factors that must be considered on the warehouse location decisions? ​

Answers

Answer:

burglar proofing

Explanation:

security

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A blog is a Web site of personal or commercial origin that uses a dated log format updated, daily or very frequently, with new information about a particular subject or range of subjects. true or false A pupil has drawn the electronic structure of fluorine and the diagram is shown below. However,mistakes have been made. State three mistakes that have been made. Complete the problems. (From Example 2)1. How much compound interest will $50,000 have earned in 10 years at 6.4% annual interest compoundedquarterly? Myles has calculated that 1/2 a box of tile will cover 1/6 of his kitchen floor. How many boxes of tile will he need to cover the entire kitchen? He has been working hard ________English *a. onb. inc. atd. for To test how fertilizer affects tomato plants, a farmer divided a field of youngtomato plants into 10 plots of equal size. The farmer then put fertilizer on halfof the plots and no fertilizer on the other half of the plots. What is the controlgroup in this experiment? Which of the following describes a limiting reactant? Question 10 options: A) The reactant that runs out last and limits how much product can be made B) The reactant that is present at the smallest mass C) The reactant that runs out first and limits how much product can be made D) An inert element 2. Calculate the rate of population increase for the whales and the seals from the data in table 2, trial 1. What does this rate represent?Hint: From the point of zero change on the graph to the highest population achieved is a change in time of 100 months. (Refer to the science skills practice in the lesson for the correct formula for the rate of population change.) Find all solution(s) of the quadratic equation x2 100 = 0. Question 9 options: A) x = 10, 10 B) x = 10 C) x = 10 D) x = 100, 100 What does this analogy mean?It means that people who serve their leaders are worthless.It means that the earth, wood, and stones are more valuable than humankind.It means that people should question the laws they follow.It means that robots get more respect than people do. TIME REMAINING53:07Solve for w.5w + 9z = 2z + 3ww = w equals negative StartFraction 7 Over 2 EndFraction z.zw = w equals negative StartFraction 2 Over 7 EndFraction z.zw = 2zw = 7z What is assonance? Repetition of vowel sounds in a line of poetry Repetition of consonant sounds in a line of poetry Words that represent the sounds they make in poetry Words that represent pictures in the mind found in poetry if R=[2 3 4] what is the number of element in 2 4 5 the matrix R? State any four uses of funding in a new business how can we maintain peace in the nature and surrounding porque medusa era diferente a otras mujeres en su entorno? what is kohlberg's theory based on An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 6 miles per hour faster than the westbound train. After 2 hours, they are 276 miles apart. At what speeds are the two trains traveling If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x. Journalize the following transactions for Lucite Company. Assume 360 days per year.a. November 14: Received a $4,800.00, 90-day, 9% note from Alan Albertson in payment of his account. b. December 31: Accrued interest on the Albertson note. c. February 12: Received the amount due from Albertson on his note.