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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

An electronics company uses the quadratic function below to model its profit P(x), in dollars, from the sale of x units of smartphones.

P(x) = -0.05x²+1000x

Which of the following equivalent expressions displays the number of units that must be sold to maximize profit as a constant or coefficient?

A.-0.05(x²-20000x)
B.-0.05(x-10000)²+50000
C.-0.05x(x-2000)
D.-0.05(x²-5000x)+750x

答案和解析

答案：B

解析：

Choice B is correct.