1

Set 6: Quadratic Equations (Intermediate)

Explanation

Answer: A

A company's revenue RR is related to price pp by R(p)=−4p2+400pR(p) = -4p^2 + 400p. What price maximizes revenue?

A.

$50

✓ Correct
B.

$100

C.

$40

D.

$25

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Maximize the quadratic function by finding the vertex. 1. p=−b/2ap = -b/2 a. 2. p=−400/(2(−4))=−400/−8=50p = -400 / (2(-4)) = -400 / -8 = 50. 3. The optimal price is $50. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $50

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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