Set 16: Quadratic Equations (Intermediate)

Explanation

Answer: A

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

200 units

✓ Correct

150 units

400 units

250 units

Detailed Explanation

Choice A is correct. 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: $(100 + 300) / 2$ . 2. Result: $400/ 2 = 200$ units. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is 200 units

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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