8

Set 1: Quadratic Equations

Explanation

Answer: A

Find the break-even points (where Profit = 0) for P(x)=−x2+50x−400P(x) = -x^2 + 50x - 400.

A.

10 and 40

✓ Correct
B.

20 and 30

C.

5 and 80

D.

0 and 50

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve P(x)=0P(x) = 0. 1. −x2+50x−400=0-x^2 + 50 x - 400 = 0. 2. Multiply by -1: x2−50x+400=0x^2 - 50 x + 400 = 0. 3. Factor: (x−10)(x−40)=0(x - 10)(x - 40) = 0. 4. Break-even points are 10 and 40 units. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is 10 and 40

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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