SOLUTION: A new media platform, JP Productions, uses a model to discover the maximum profit it can make with advertising. The company makes a $6,000 profit when the platform uses 100 or 200

Question 1206255: A new media platform, JP Productions, uses a model to discover the maximum profit it can make with advertising. The company makes a $6,000 profit when the
platform uses 100 or 200 minutes a day on advertisement. The maximum profit
of $10,000, can occur when 150 minutes of a day’s platform is used on
advertisements. Which of the following functions represents profit, P(m), where m is the number of minutes the platform uses on advertisement?
A) P(m) = −0.064(x + 150)^2 − 10000
B) P(m) = −1.6(x − 150)^2 + 10000
C) P(m) = −(x − 1000)(x − 6000)
D) P(m) = −(x − 100)(x − 200)
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

Function (B) produces correct output values at given input x = 100, 150 and 200.

Also, it represents a parabola opened downward and having a maximum, which is a correct/reasonable form.

The other functions do not produce the correct output values, so we deny them.

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