The relationship between the amount of money x that a small instrument manufacturer spends on advertising and the total sale is given by the function S(x) = -0.003x³ + 0.58x²-200. Find the average rate of change expected in the sales when the amount spend on advertising increases from $50 to $100. a. 17.9 b. 34.5 c. 27.2 d. 44.1 e. None of the above

Answers

Answer 1

The average rate of change expected in the sales when the amount spent on advertising increases from $50 to $100 is 82.5.

To find the average rate of change in sales when the amount spent on advertising increases from $50 to $100, we need to calculate the difference in sales (S(x)) between these two advertising amounts and divide it by the difference in advertising amounts.

First, let's find the sales at $50 and $100:

S(50) = -0.003(50)³ + 0.58(50)² - 200 = -75 + 1450 - 200 = 1175

S(100) = -0.003(100)³ + 0.58(100)² - 200 = -300 + 5800 - 200 = 5300

Now, we can calculate the average rate of change:

Average rate of change = (S(100) - S(50)) / (100 - 50)

= (5300 - 1175) / 50

= 4125 / 50

= 82.5

Therefore, the average rate of change expected in the sales when the amount spent on advertising increases from $50 to $100 is 82.5. Since none of the given options match this value, the answer is e. None of the above.

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Related Questions

A court of appeal will hear new testimony to prevent justice?
True or False

Answers

The statement is False. In a court of appeal, new testimony is generally not heard.

The purpose court of appeal is to review the legal proceedings and the application of the law in the previous trial, rather than reevaluating the facts or introducing new evidence.

The appellate court's role is to assess whether there were any errors of law or procedural irregularities that may have affected the outcome of the trial.

Typically, new evidence or testimony is not allowed in the appellate court unless there are exceptional circumstances, such as newly discovered evidence that could not have been reasonably presented during the original trial.

However, even in such cases, the standards for introducing new evidence in an appeal are stringent, and it is rare for new evidence to be considered.

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13 If the price elasticity of demand is 2.0, and a firm raises its price by 10 percent, the total revenue will... a. Not change. b. Fall by an undeterminable amount given the information available. c. Rise. d. Fall by 20 percent.

Answers

Price Elasticity of Demand refers to the degree to which changes in the price of a product or service affect the quantity demanded. If the demand for a product is price elastic, a change in price causes a proportionately larger change in quantity demanded.

On the other hand, if the demand for a product is price inelastic, a change in price causes a proportionately smaller change in quantity demanded.When the price elasticity of demand is 2.0 and a firm raises its price by 10%, the total revenue will fall.

The answer is letter D. The total revenue will fall by 20%. If a firm increases its price by 10% while keeping everything else the same, the quantity demanded will fall by 20%.Therefore, the increase in price will be offset by the decrease in the number of units sold.

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