Consider a model in which two products, x and y, are produced. There are 30 pounds of material and 60 hours of labor available. It requires 9 pounds of material and 12 hours of labor to produce a unit of x, and 5 pounds of material and 15 hours of labor to produce a unit of y. The profit for x is $300 per unit, and the profit for y is $250 per unit.

Required:
How many units of x and y to produce to maximize profit, the model is

Answers

Answer 1

Answer:

2 units of x and 2 units of y

Explanation:

The model can be represented as:

[tex]\begin{array}{cccc} & {x} & {y} & {} & {Materials} & {9} & {5} & {30} & {Labor} & {12} & {15} & {60} & {} & {300} & {250} \ \end{array}[/tex]

So, we have:

Max [tex]z = 300x + 250y[/tex] --- the objective function

Subject to:

[tex]9x + 5y \le 30[/tex]

[tex]12x + 15y \le 60[/tex]

[tex]x,y > 0[/tex]

Multiply the first equation by 3

[tex]9x + 5y \le 30[/tex] becomes

[tex]27x + 15y \le 90[/tex]

Subtract [tex]12x + 15y \le 60[/tex] from [tex]27x + 15y \le 90[/tex]

[tex]27x - 12x + 15y - 15y \le 90 - 60[/tex]

[tex]15x \le 30[/tex]

Divide by 15

[tex]x \le 2[/tex]

Substitute 2 for x in [tex]9x + 5y \le 30[/tex]

[tex]9 * 2 + 5y \le 30[/tex]

[tex]18 + 5y \le 30[/tex]

Collect like terms

[tex]5y \le 30 - 18[/tex]

[tex]5y \le 12[/tex]

Divide by 5

[tex]y \le 2.4[/tex]

y must be an integer;

So:

[tex]y \le 2[/tex]

So, we have:

[tex](x,y) \le (2,2)[/tex]

Hence, the company must product 2 units of x and 2 units of y


Related Questions

After successfully completing your corporate finance class, you feel the next challenge ahead is to serve on the board of directors of Schenkel Enterprises. Unfortunately, you will be the only individual voting for you. a. If the company has 470,000 shares outstanding and the stock currently sells for $41, how much will it cost you to buy a seat if the company uses straight voting

Answers

Answer: $9,635,041

Explanation:

With 470,000 shares, you will need to hold a majority to vote yourself into the board.

To gain a majority, you need more than 50% of the shares:

= 470,000 / 2 + 1 share to give you majority

= 235,001 shares

The cost of 235,001 shares is:

= 235,001 * 41

= $9,635,041

​Cyberphone, a manufacturer of cell phone​ accessories, ended the current year with annual sales​ (at cost) of ​$ million. During the​ year, the inventory of accessories turned over times. For the next​ year, Cyberphone plans to increase annual sales​ (at cost) by percent. a. What is the increase in the average aggregate inventory value required if Cyberphone maintains the same inventory turnover during the next​ year? ​$ nothing. ​(Enter your response as an​ integer.)

Answers

Answer:

sorry po

Explanation:

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Josiah's team missed a crucial deadline and lost a major client due to poor communication. As a result, his team is experiencing trust issues. Josiah is looking for ways to improve trust across the team as a whole and has generated a few ideas. All of the following are likely to increase trust except:________.
a. Josiah creates a poster board with team goals, indicating the roles of each team member.
b. Josiah plans to provide his team with more project training sessions to help improve their efficiency both as dividuals and as a group.
c. Josiah conducts individual performance reviews in front of the whole group so no one feels singled out
d. Josiah has individual check-ins with his team members to provide feedback

Answers

C, talking about individual issues in front of a group can make team members feel uncomfortable. Talking with team members individually and providing feedback privately will create a more comfortable environment.

Discussion Week 3 х + -mccneb.edu/courses/16958/discussion_topics/147424 The second posting provides students an opportunity to interact with one another, simulating classroom discussion, with respect to the postings of others. This response should include a critical and respectful review of other postings. The second posting must be no less than 200 words in length to be considered for grade assessment. Any posting less than 200 words in length will not be reviewed and a grade of -- will be assigned. Subsequent postings (in addition to the aforementioned first and second posting) are invited. There is no length requirement for subsequent postings. Please note, attachments will not be opened or reviewed for grade consideration Any postings after the due date has past will not be considered for grading. Discussion 3: Please explain the difference between express and implied easements giving an example of each. Then tell us, if you wanted to know if there was ar easement that involved a property, what are the ways you could find out - i.e. where would you look and what would you look at? Then discuss the importance o implied easements to our society and provide an example. Search entries or author Unread Subscrib Reply Brianna Ferrero Sunday An express easement is created by an agreement or document, it must be in writing. For example, one neighbor may want to build a parking pad or basketball court off their driveway, but not have enough room on their lot to do so because their driveway already butts up against the property line. This individual may offer to pay the neighbor for his consent to grant an express easement for them to build a parking pad and a basketball court off their driveway that extends or the neighbors land.​

Answers

aAnswer:ya

Explanation:ya

Consumers have become more vulnerable to privacy infringement and identity theft MOST LIKELY due to which trend? A) consumers' decreasing awareness of investment scams B) the proliferation of automated financial transactions C) the rising rate of mortgage foreclosures during the recession D) the government's increasing regulation of the consumer credit industry

Answers

A) consumers’ decreasing awareness of investment scams.

Consumers that have more vulnerable to privacy infringement and identity theft because of this trend so it is option A.

What is privacy infringement?

At the time when the information related to the person that should be obtained against his or her so it should be either by coercion or it should be forced. Here the right to privacy should be violated. So, Consumers that have more vulnerable to privacy infringement and identity theft because of this trend so it is option A.

Learn more about consumer here: https://brainly.com/question/24399682

A small business sold an equipment for $30,000 after depreciating the equipment using the MACRS depreciation method. The applicable federal tax rate for the company is 39%. The federal tax liability on this depreciation recapture is $10,200 if the company also had other taxable income of $200,000 in that year.

a. True
b. False

Answers

Answer::::: is false

what is the future value of ordinary annuity makes 2000 every month 10 years interest rate is 7% g

Answers

Answer:

The future value of the ordinary annuity is:

= $346,169.61.

Explanation:

a) Data and Calculations:

Ordinary annuity receipt/payment = $2,000

Payment is made monthly for 10 years (120 months)

Interest rate = 7%

From an online financial calculator, the future value is:

N (# of periods)  120

I/Y (Interest per year)  7

PV (Present Value)  0

PMT (Periodic Payment)  2000

 

Results

FV = $346,169.61

Sum of all periodic payments $240,000.00

Total Interest $106,169.61

An investment opportunity requires a payment of $910 for 12 years, starting a year from today. If your required rate of return is 6.5 percent, what is the value of the investment to you today

Answers

Answer:

PV= $7,424.44

Explanation:

Giving the following information:

Annual payment (A)= $910

Number of periods (n)= 12 years

Rate of return (i)= 6.5%

To calculate the value of the investment today (PV), we need to use the following formula:

PV= A*{(1/i) - 1/[i*(1 + i)^n]}

PV= 910*{(1/0.065) - 1/ [0.065*(1.065^12)]}

PV= $7,424.44

Brown Cow Dairy uses the aging approach to estimate bad debt expense. The ending balance of each account receivable is aged on the basis of three time periods as follows: (1) not yet due, $14,000; (2) up to 120 days past due, $4,500; and (3) more than 120 days past due, $2,500. Experience has shown that for each age group, the average loss rate on the amount of the receivables at year-end due to uncollectibility is (1) 2 percent, (2) 12 percent, and (3) 30 percent, respectively. At December 31 (end of the current year), the Allowance for Doubtful Accounts balance is $800 (credit) before the end-of-period adjusting entry is made. Data during the current year follow:

a. During December, an Account Receivable (Patty's Bake Shop) of $750 from a prior sale was determined to be uncollectible; therefore, it was written off immediately as a bad debt.
b. On December 31, the appropriate adjusting entry for the year was recorded.

Required:
1. Give the required journal entries for the two items listed above.
2. Show how the amounts related to Accounts Receivable and Bad Debt Expense would be reported on the income statement and balance sheet for the current year. Disregard income tax considerations.

Answers

Answer:

Brown Cow Dairy

1. Journal Entries:

a. Debit Allowance for Uncollectibles $750

   Credit Accounts Receivable $750

To write-off an uncollectible account.

b. Debit Bad Debts Expense $1,520

   Credit Allowance for Doubtful Accounts $1,520

To record bad debts expense for the year.

2. Amounts that would be reported:

Income Statement:

Bad debts expense $1,520

Balance Sheet:

Accounts Receivable $21,000

less Allowance for Doubtful accounts $1,570

Explanation:

a) Data and Calculations:

(1) not yet due, $14,000                              *    2% = $280

(2) up to 120 days past due, $4,500         *   12% =   540

(3) more than 120 days past due, $2,500 * 30% =   750

Total                                              $21,000            $1,570

Balance of Allowance for Doubtful Accounts = $800

a. Debit Allowance for Uncollectibles $750

   Credit Accounts Receivable $750

To write-off an uncollectible account.

b. Debit Bad Debts Expense $1,520

   Credit Allowance for Doubtful Accounts $1,520

To record bad debts expense for the year.

Assume that a $1,000,000 par value, semiannual coupon U.S. Treasury note with four years to maturity (YTM) has a coupon rate of 6%. The yield to maturity of the bond is 11.00%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note:_________.
a.) $841,635.85
b.) $715,390.47
c.) $530,230.59
d.) $1,009,963.02

Answers

Answer:

a.) $841,635.85

Explanation:

The value of the Treasury note is the present value of its future cash flows, its semiannual coupon payments and the face value receivable by the investors in the T-note at maturity.

Semiannual coupon=face value*coupon rate*6/12

face value=$1,000,000

coupon rate=6%

semiannual coupon=$1,000,000*6%*6/12

semiannual coupon=$30,000( there would 8 semiannual coupons in 4 years)

The present value of the cash flows can be determined using a financial calculator bearing in mind that the calculator would be set to its default end mode before making the following inputs:

N=8(semiannual coupons)

PMT=30000(amount of each semiannual coupon)

I/Y=5.50%(semiannual yield to maturity=11.00%*6/12)

FV=1000000(the face value of T-note)

CPT

PV=$841,635.85  

Law Office employ 12 full-time attorneys and 5 paraprofessionals. Budgeted salaries include $100,000 for each attorney and $30,000 per paraprofessional. For 20x1, indirect costs were budgeted at $250,000, but actually amounted to $300,000. Actual salaries were $110,000 for each attorney and $30,000 for each paraprofessional. Direct and indirect costs are applied on a professional labor-hour basis that includes both attorney and paraprofessional hours. Total budgeted labor-hours were 50,000; however, actual labor-hours were 60,000.
How much should the client be billed in a normal costing system which uses budgeted rate and cost allocations are based on actual data, when 1,000 professional labor-hours were used?a. $27,000b. $32,000c. $34,800d. $37,400

Answers

Answer:

See below

Explanation:

Given the above information,

= ($110,000 × 12 + $30,000 × 5) / 60,000 × 1,000

= ($1,320,000 + $150,000) / 60,000,000

= $1,470,000 / 60,000,000 + $300,000/60,000) × 1,000

= $0.0245 + $5,000

= $5,000

You sell 25,000 loaf of bread per year. The carrying cost associated the main ingredient wheat flour is estimated to be $8 per unit (amount used for 1 loaf of bread) per year, and the ordering cost is $10 per order. And assume 1 year is 300 days and lead time is 3 days.

Required:
a. What is the EOQ?
b. How much money you will lose if you order 300 units of wheat flour? Calculate the total cost of inventory with EOQ model and with order size is 300. The difference will give you the answer.
c. Calculate the re-order point (assuming no uncertainty)?

Answers

Answer:

Annual Demand (D) = 25000

Carrying Cost (H) = 8

Ordering Costs (S) = 10

Number of working days = 300

Lead Time (Lt) = 3 days

a. EOQ = Sqrt (2*D*S/H)

EOQ = Sqrt (2*25000*10/8)

EOQ = Sqrt (62500)

EOQ = 250

b. Total Cost = (D * S) / EOQ + (EOQ * H) / 2

Total Cost = (25000 * 10) / 250 + (250 * 8) / 2

Total Cost = 1000 + 1000

Total Cost = 2000

Now, we calculate total Cost with order size: of 300

Total Cost = (25000 * 10) / 300 + (300 * 8) / 2

Total Costs = 833.3333 + 1200

Total Cost = 2,033.3333

The amount to lost if we order 300 units of wheat flour is as follows

= 2033.33 - 2000

= $33.33

3. ROP = (D / Number of working days) x Lt

ROP = (25000 / 300) * 3

ROP = 83.3333 * 3

ROP = 249.9999

ROP = 250

Legacy issues $630,000 of 9.0%, four-year bonds dated January 1, 2019, that pay interest semiannually on June 30 and December 31. They are issued at $571,310 when the market rate is 12%.

Required:
a. Prepare the January 1, 2018, journal entry to record the bonds' issuance.
b. Prepare the journal entries to record the first two interest payments.

Answers

Solution :

a). Prepare the journal entry to record the bonds' issuance as shown below:

Interest paid = [tex]$\$630,000 \times 9\%\times \frac{1}{2}$[/tex]

                      = $ 28,350

   Date           Accounts titles and explanation             Debit ($)       Credit($)

1 Jan 2018      Cash                                                         571,310

                       Discount on bonds payable                    58,690

                        ($ 630,000 - $ 571,130)

                      Bonds payable                                                              630,000

b). Preparing the journal entries to record the first two interest payments :

        Date      Accounts Titles and explanation     Debit($)        Credit($)

 30/6/2018   Interest expense                              35,686.25

                      Discount on bonds payable                                  7,336.25

                      Cash                                                                        28,350

31/12/2018     Interest expense                            35,686.25

                      Discount on bonds payable                                     7,336.25

                       Cash                                                                           28,350                          

                     

You are now 20 years of age and decide to save $100 at the end of each month until you are 65. If the interest rate is 9.2%, how much money will you have when you are 65?

Answers

Answer:

FV= $804,326.91

Explanation:

Giving the following information:

Monthly deposit (A)= $100

Interest rate (i)= 0.092/12= 0.0077

Number of periods= 45*12= 540 months

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.0077^540) - 1]} / 0.0077

FV= $804,326.91

Cape Corp. will pay a dividend of $3.60 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock

Answers

Answer:

$30

Explanation:

according to the constant dividend growth model

price = d1 / (r - g)

d1 = next dividend to be paid

r = cost of equity

g = growth rate

$3.6 / (0.17 - 0.05)

$3.60 / 0.12  = $30

Carol Co. prepares a statement of cash flows starting with net income and then adjusting for items necessary to obtain net cash provided or used by operating activities. Carol Co. must be using the______method of reporting the statement of cash flows.

Answers

Answer:

indirect

Explanation:

From the question we are informed about Carol Co. prepares a statement of cash flows which start with net income and then adjusting for items necessary to obtain net cash provided or used by operating activities. In this case, Carol Co. must be using the

indirect method of reporting the statement of cash flows. In financial accounting, cash flow statement can be regarded as financial statement which express the way changes in balance sheet accounts as well as income affect cash and cash equivalents, and also give the analysis breakdown to operating, financing as well as investingactivities.

The methods for reporting statement of cash flows could be Direct or indirect method.

The indirect method can be regarded as method that gives presentation of the statement of cash flows by strating

with net income or net loss, along with deduction or additions to the amount for non-cash revenue and expense items or from them which comes subsequently, which then results to cash flow from operating activities.

What would be the annual cost saved by shifting from the ​-bag lot size to the​ EOQ? The annual holding cost with the EOQ is ​$ nothing. ​(Enter your response rounded to two decimal​ places.)

Answers

Answer:

Without Calculating The... Problem 13 Current on-hand inventory is 310 bags, with no open orders or. Problem 13 ... What would be the annual cost saved by shifting from the 505-​bag lot size to the EOQ? The annual holding cost with the EOQ is $ 690.15.

Explanation:

does it help??

On January 1, Pharoah Company had 87000 shares of $10 par value common stock outstanding. On May 7, the company declared a 5% stock dividend to stockholders of record on May 21. Market value of the stock was $16 on May 7. The stock was distributed on May 24. The entry to record the transaction of May 24 would include a

Answers

Answer: credit to Common Stock Dividends Distributable for $43500

Explanation:

Based on the information given in the question, the entry to record the transaction of May 24 goes thus:

Debit Stock Dividend = 87000 × 5% × $16 = $69600

Credit To Common Stock Dividend Distributable = 87000 × 5% × $10 = $43500

Credit To Paid in capital in excess of Par - Common Stock = $69600 - $43500 = $26100

More than 99% of all U.S. firms are classified as small businesses, and they employ about half of private workers. A small business is defined as any independently owned and operated business that is not dominant in its competitive area and does not employ more than 500 people. Understanding the advantages and disadvantages of small business ownership is crucial for any potential entrepreneur.
Match each statement or scenario with the appropriate advantage or disadvantage of small business
i. ownership.ii. Focusiii. Reputationiv. High stress levelv. Inexperience/Incompetencevi. Flexibilityvii.Inability to cope with growthviii.Costsix. Independencex. High failure rateMatch each of the options above to the items below.1. One of the leading reasons for becoming your own boss. 2. A 20-employee factory does not have a designated accounting or advertising department.3. The pizzas offered on the Patrick’s Pizza menu are often based on the types of produce in season.4. Mike’s trucking business provides specific information and products to commercial truck drivers.5. Brandy’s nursery offers delivery and expert installation of their trees at no extra cost to the customer and will replace any defective one up to 3 years after purchase.6. Sue works more than 60 hours a week at her construction business and cannot find reliable suppliers for lumber inventory.
7. Half of all new employer firms fail within the first five years.8. As a fitness expert, Tyler is having difficulties understanding the accounting requirements for his bank business loan for his workout facility.9. Circumstances such as products not arriving on time due to limited capacity affect the reputation of a company more than any other factor.

Answers

Answer:

A

Explanation:

Suppose you forecast that the standard deviation of the market return will be 20% in the coming year. If the measure of risk aversion in is A = 4: a. What would be a reasonable guess for the expected market risk premium? b. What value of A is consistent with a risk premium of 9%? (Round your answer to 2 decimal places.) c. What will happen to the risk premium if investors become more risk tolerant?

Answers

Answer:

a) 16%

b) 2.25

c) Increase in expected market risk premium

Explanation:

Expected standard deviation of market return = 20%

measure of risk aversion ( A ) = 4

a) Determine a reasonable  expected market risk premium

= A * ( std ) ^2

= 4 * ( 20%)^2

=  16%

b) determine Value of A

market risk premium = A * ( std )^2

∴ A = 9% / ( 20% ) ^2

      = 0.09 / 0.04

      = 2.25

c) If investors become more risk tolerant the expected market risk premium will increase

Favre and Carter Law Office employ 12 full-time attorneys and 5 paraprofessionals. Budgeted salaries include $100,000 for each attorney and $30,000 per paraprofessional. For 20x1, indirect costs were budgeted at $250,000, but actually amounted to $300,000. Actual salaries were $110,000 for each attorney and $30,000 for each paraprofessional. Direct and indirect costs are applied on a professional labor-hour basis that includes both attorney and paraprofessional hours. Total budgeted labor-hours were 50,000; however, actual labor-hours were 60,000.
How much should the client be billed in a normal costing system which uses budgeted rate and cost allocations are based on actual data, when 1,000 professional labor-hours were used?
a. $27,000
b. $32,000
c. $34,800
d. $37,400

Answers

Answer:

Billed costs= $32,000

Explanation:

Giving the following information:

Total estimated cost attorney= 12*100,000= $1,200,000

Total estimated cost paraprofessional= 5*30,000= $150,000

Estimated Indirect costs= $250,000

Estimated number of hours= 50,000

First, we need to calculate the allocation rate:

Allocation rate= total estimated costs for the period/ total amount of allocation base

Allocation rate=   (1,200,000 + 150,000 + 250,000) / 50,000

Allocation rate= 1,600,000/50,000

Allocation rate= $32

Now, for 1,000 hours:

Billed costs= 1,000*32= $32,000

The following items are reported on a company's balance sheet: Cash $160,000 Marketable securities 75,000 Accounts receivable (net) 65,000 Inventory 140,000 Accounts payable 200,000 Determine (a) the current ratio and (b) the quick ratio. Round to one decimal place. a. Current ratio fill in the blank 1 b. Quick ratio fill in the blank 2

Answers

Answer and Explanation:

a. The current ratio is

We know that

Current ratio = Current Assets ÷ Current Liabilities

= $440,000 ÷ $200,000

= 2.2

Cash $160,000

Marketable Securities $75,000

Account receivable $65,000

Inventory $140,000

Current Assets $440,000

Account Payable $200,000

current liabilities $200,000

b

Quick ratio =( Current assets - inventory ) ÷ Current Liabilities

= ($440,000 - $140,000 ) ÷ $200,000

= 1.5

Ramble On Co. wishes to maintain a growth rate of 13.6 percent per year, a debt-equity ratio of 1.8, and a dividend payout ratio of 30 percent. The ratio of total assets to sales is constant at .98. What profit margin must the firm achieve

Answers

Answer: 5.99%

Explanation:

Based on the question,

Dividend payout ratio = 30%

Therefore, the retention ratio will be:

= 1 - 30%

= 70%

Growth rate = 13.6%

We'll the use the sustainable growth rate formula which will be:

0.136 = (ROE x 0.7)/ (1-(ROE x 0.7))

0.136(1 - (0.7ROE)) = 0.7ROE

ROE = 0.136/0.7952

ROE = 0.171026

Then, the Profit margin will be:

ROE = Profit Margin x Asset Turnover x Equity multiplier

0.171026 = PM x (1/0.98) x (1 + 1.8)

0.171026 = PM x (1/0.98) x 2.8

PM = 0.171026 x 0.98/2.8

PM = 0.0598591

Profit margin = 5.99%

Wieters Industries manufactures several products including a basic case for a popular smartphone. The company is considering adopting an activity-based costing approach for setting its budget. The company's production activities, budgeted activity costs, and cost drivers for the coming year are as follows:

Activity Activity Overhead $ Cost Driver Cost Driver Quantity
Machine setup $200,000 # of setups    800
Inspection   120,000 # of quality tests    400
Materials receiving    252,000 # of purchase orders   1,800

The budgeted data for smartphone case production are as follows.

Direct materials $2.50 per unit
Direct labor $0.54 per unit
Number of setups 92
Number of quality tests 400
Number of purchase orders 50
Production 15,000 units

Required
a. Calculate the activity rate for each cost pool.
b. Calculate the activity-based unit cost of the smartphone case.

Answers

Answer:

Wieters Industries

a. Activity Rates:

Machine setup =    $250

Inspection =              300

Materials receiving   140

b. The activity-based unit cost of the smartphone case is:

= $13.04

Explanation:

a) Data and Calculations:

Activity             Activity Overhead $   Cost Driver      Cost Driver Quantity

Machine setup             $200,000        # of setups                   800

Inspection                      120,000       # of quality tests           400

Materials receiving      252,000       # of purchase orders   1,800

Total overhead costs  $572,000

Activity Rates:

Machine setup =    $250 ($200,000/800)

Inspection =              300 ($120,000/400)

Materials receiving   140 ($252,000/1,800)

Budgeted data for smartphone case production:

Direct materials $2.50 per unit

Direct labor $0.54 per unit

Number of setups 92

Number of quality tests 400

Number of purchase orders 50

Production 15,000 units

Overhead Applied to Smartphone Case:

Number of setups 92 * $250 =             $ 23,000

Number of quality tests 400 * $300 =    120,000

Number of purchase orders 50 * $140 =   7,000

Total overhead applied =                      $150,000

Overhead per unit = $10 ($150,000/15,000)

Unit Cost of Smartphone Case:

Direct materials per unit  $2.50

Direct labor per unit        $0.54

Overhead per unit         $10.00

Total unit cost =             $13.04

Suppose eggs are only sold by the dozen and priced in whole dollar amounts. No eggs are demanded at a price above $7 per dozen. At a price equal to $7 per dozen, 10 dozen eggs are demanded. If the price falls to $6 per dozen, then 11 dozen are demanded. At a price of $5 per dozen, 12 dozen are demanded. When the price falls to $4 then 13 dozen are demanded. Suppose also that this market is operating in the short run and the quantity of eggs supplied is fixed at 12 dozen eggs. What are the equilibrium price and quantity in this market?

Answers

Answer:

$5

12

Explanation:

Equilibrium price is the price at which quantity demand equal quantity supplied. Above equilibrium price there is a surplus - quantity supplied exceeds quantity demanded.

Below equilibrium price there is a shortage - quantity demanded exceeds quantity supplied

from the question, the following table can be determined

P      Qd        Qs

$7     10

$6      11

$5      12        12

$4      13     

At equilibrium price, quantity demanded equal quantity supplied. this price is $5 and quantity is 12

What is a production​ function? How does a​ long-run production function differ from a​ short-run production​ function? A. A function showing the minimum output that a firm can produce for every specified combination of inputs. In the​ short-run production​ function, all inputs are​ variable, whereas the​ long-run production function has at least one fixed input.. B. A function showing the highest output that a firm can produce for every specified combination of inputs. In the​ short-run production​ function, all inputs are​ variable, whereas the​ long-run production function has at least one fixed input. C. A function showing the minimum output that a firm can produce for every specified combination of inputs. In the​ long-run production​ function, all inputs are​ variable, whereas the​ short-run production function has at least one fixed input. D. A function showing the highest output that a firm can produce for every specified combination of inputs. In the​ long-run production​ function, all inputs are​ variable, whereas the​ short-run production function has at least one fixed input.

Answers

Answer:

A

Explanation:

If the best operating level of a process X is 1026 bottles per day and the actual output during a day is 786 bottles, then what is the capacity utilization rate for process X

Answers

Answer:

greater than 70% but less than or equal to 90%

Explanation:

The computation of the capacity utilization rate for process X is shown below:

As we know that

Capacity Utilization = (Actual Output ÷ Design Capacity) × 100

=  (786 ÷ 1026) × 100

= 76.61%

So, it is greater than 70% but less than or equal to 90%

1. Prepare the December 31 adjusting entries for the following transactions. Omit explanations. 1. Fees accrued but not billed, $6,300. 2. The supplies account balance on December 31, $4,750; supplies on hand, $960. 3. Wages accrued but not paid, $2,700. 4. Depreciation of office equipment, $1,650. 5. Rent expired during year, $10,800.

Answers

Answer:

1. Debit Accounts Receivable $6300

Credit Fees Revenue $6300

2. Debit Supplies Expense $3790

Credit Supplies $3790

3. Debit Wages Expense $2700

Credit Wages Payable $2700

4. Debit Depreciation Expense $1650

Credit Accumulated Depreciation-office equip. $1650

5. Debit Rent Expense $10800

Credit Prepaid Rent $10800

Explanation:

Preparation of the December 31 adjusting entries

1. Debit Accounts Receivable $6300

Credit Fees Revenue $6300

2. Debit Supplies Expense $3790

Credit Supplies $3790

(4750-960)

3. Debit Wages Expense $2700

Credit Wages Payable $2700

4. Debit Depreciation Expense $1650

Credit Accumulated Depreciation-office equip. $1650

5. Debit Rent Expense $10800

Credit Prepaid Rent $10800

Miracle Clean's variable costs are $3.00 per bottle and Fixed Expenses are $350,000 per year. The company currently sells 150,000 bottles for $6.50 which results in profit of $175,000. The company is considering raising the selling price to $7.00 per bottle which is expected to decrease sales by 20%. If the price is raised, the number of units that must be sold to keep the profits unchanged is

Answers

Answer:

131,250= number of units

Explanation:

Giving the following information:

We need to calculate the number of units to be sold to maintain a profit of $175,000.

Unitary variable cost= $3

Fixed expenses= $350,000

Selling price= $7

Net income= total contribution margin - fixed cost

175,000= number of units*(7 - 3) - 350,000

525,000 = number of units*4

525,000 / 4= number of units

131,250= number of units

Cal Lury owes $21,000 now. A lender will carry the debt for five more years at 6 percent interest. That is, in this particular case, the amount owed will go up by 6 percent per year for five years. The lender then will require that Cal pay off the loan over the next 13 years at 9 percent interest. What will his annual payment be

Answers

Answer:

$3,753.59

Explanation:

Value of debt at end of 5 years = $21,000 * (1 + 6%)^5

Value of debt at end of 5 years = $21,000 * 1.3382255776

Value of debt at end of 5 years = $28102.7371296

Value of debt at end of 5 years = $28,102.74

Let x be the annual payments:

x*[1 - (1 + 9%)^-13] / 9% = $28,102.74

x * [1-0.32617864688] / 0.09 = $28,102.74

x * 7.486904 = $28,102.74

x = $28,102.74 / 7.486904

x = 3753.58626

x = $3,753.59

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