# A car dealership estimates that the total weekly sales of its most popular model is a function

## Question:

A car dealership estimates that the total weekly sales of its most popular model is a function of the car’s list price, p, and the interest rate in percent, i, offered by the manufacturer. The approximate weekly sales are given by f(p, i) = 99p – 0.5pi – 0.0025p^{2}

a. Find the weekly sales if the average list price is $19,400 and the manufacturer is offering an 8% interest rate.

b. Find and interpret f_{p}(p, i) and f_{i}(p, i)

c. What would be the effect on weekly sales if the price is $19,400 and interest rates rise from 8% to 9%?

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**Related Book For**

## Calculus With Applications

**ISBN:** 9780321831101

10th Edition

**Authors:** Margaret L Lial, Raymond N Greenwell, Nathan P Ritchey