The revenue, in dollars, when the unit price of the product is $
The unit price, in dollars, of the product that will result in maximum revenue
The unit price, in dollars, of the product that will result in a revenue of $
The maximum revenue, in dollars, that the company can make
Explanation
Correct answer: C.
Choice C is correct. By definition, the -value when a function intersects the -axis is . It's given that the graph of the function intersects the -axis at and , that 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 occurs when , is the unit price, in dollars, of the product that will result in a revenue of $.
Desmos solution:
Note: The regression finds the positive x-intercept a=50, the unit price that makes revenue zero.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. The revenue, in dollars, when the unit price of the product is $ is represented by when .
Choice B
Choice B is incorrect. The unit price, in dollars, of the product that will result in maximum revenue is represented by the -coordinate of the maximum of .
Choice D
Choice D is incorrect. The maximum revenue, in dollars, that the company can make is represented by the -coordinate of the maximum of .