The revenue , in dollars, that a company receives from sales of a product is given by the function f above, where x is the unit price, in dollars, of the product. The graph of in the xy-plane intersects the x-axis at 0 and a. What does a represent?
A
The revenue, in dollars, when the unit price of the product is $0
B
The unit price, in dollars, of the product that will result in maximum revenue
C
The unit price, in dollars, of the product that will result in a revenue of $0
D
The maximum revenue, in dollars, that the company can make
Correct answer: C
Explanation
Choice C is correct. By definition, the y-value when a function intersects the x-axis is 0. It’s given that the graph of the function intersects the x-axis at 0 and a, that x is the unit price, in dollars, of a product, and that , where , is the revenue, in dollars, that a company receives from the sales of the product. Since the value of a occurs when , a is the unit price, in dollars, of the product that will result in a revenue of $0.
Choice A is incorrect. The revenue, in dollars, when the unit price of the product is $0 is represented by , when . Choice B is incorrect. The unit price, in dollars, of the product that will result in maximum revenue is represented by the x-coordinate of the maximum of f. Choice D is incorrect. The maximum revenue, in dollars, that the company can make is represented by the y-coordinate of the maximum of f.
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id cb_question_bank:23f75900-dc08-4156-b21b-a505d2cca7f9 · question 9654add7 · IBN 029595-DC
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