Q.70 - Intermediate Algebra | StudyQuestionHub

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Q.70

Question

A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial $R (p) = - 4 p^{2} + 420 p$ . Find the revenue received when p = 90 dollars.

Step-by-Step Solution

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Answer

The revenue received when $p = 90$ dollars is $5400$ .

1Step 1. Given Information

A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial $R (p) = - 4 p^{2} + 420 p$ .

We find the revenue received when $p = 90$ dollars.

2Step 2. The given polynomial function is R ( p )   =   − 4 p 2   +   420 p

The function is $R (p) = - 4 p^{2} + 420 p$

putting $p = 90$

$R (90) = - 4 {(90)}^{2} + 420 \times 90 R (90) = - 4 \times 8100 + 420 \times 90 R (90) = - 32400 + 37800 R (90) = 5400$

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