9
advanced-math

A company breaks even at 100 units and 300 units. If the profit function is quadratic opening downward, where is the maximum profit?

A

200 units

B

150 units

C

400 units

D

250 units

Correct Answer: A

Choice A is the correct answer. Due to the symmetry of parabolas, the maximum (vertex) is located exactly halfway between the x-intercepts (break-even points).

  1. Average: (100+300)/2(100 + 300) / 2.
  2. Result: 400/2=200400 / 2 = 200 units.

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

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Set 18: Quadratic Equations and Functions 18