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Chapter 5: Q.70 (page 499)

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)=鈭�4p2+420p. Find the revenue received when p = 90 dollars.

Short Answer

Expert verified

The revenue received when p=90dollars is5400.

Step by step solution

01

Step 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)=鈭�4p2+420p.

We find the revenue received whenp=90dollars.

02

Step 2. The given polynomial function is R(p) = −4p2 + 420p

The function isR(p)=鈭�4p2+420p

putting p=90

R(90)=鈭�4(90)2+420脳90R(90)=鈭�4脳8100+420脳90R(90)=鈭�32400+37800R(90)=5400

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