7
advanced-math

If demand is p=100−xp = 100 - x and Revenue is x⋅px \cdot p, what is the revenue function?

A

R(x)=100x−x2R(x) = 100x - x^2

B

R(x)=100−x2R(x) = 100 - x^2

C

R(x)=100x+x2R(x) = 100x + x^2

D

R(x)=x2−100xR(x) = x^2 - 100x

Correct Answer: A

Choice A is the correct answer. Revenue is Quantity times Price.

  1. R(x)=x⋅(100−x)R(x) = x \cdot (100 - x).
  2. Distribute: R(x)=100x−x2R(x) = 100x - x^2.

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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Set 18: Quadratic Equations and Functions 18