A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $7 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $6 per order as well as $3 per shoe pair. The retail store selis 1000 shoe pairs each year. Find a function that models the total inventory costs as a function of a the number of shoe pairs in each order from the manufacturer.
A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $7 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $6 per order as well as $3 per shoe pair. The retail store selis 1000 shoe pairs each year. Find a function that models the total inventory costs as a function of a the number of shoe pairs in each order from the manufacturer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the
store costs $7 per shoe pair for a year. When reordering shoes from the manufacturer, there is a
fixed cost of $6 per order as well as $3 per shoe pair. The retail store selis 1000 shoe pairs each
year.
Find a function that models the total inventory costs as a function of a the number of shoe pairs in
each order from the manufacturer.
Transcribed Image Text:A manufacture has been selling 1250 television sets a week at $450 each. A market survey indicates
that for each $22 rebate offered to a buyer, the number of sets sold will increase by 220 per week.
a) Find the demand function p(x), where is the number of the television sets sold per week.
p(x)
b) How large rebate should the company offer to a buyer, in order to maximize its revenue?
c) If the weekly cost function is 93750 + 150z, how should it set the size of the rebate to maximize
its profit?
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