W-Mart, a discount store chain, is to build a new store in Alabama. The parcel of land the company has purchased is large enough to accommodate a store with 140,000 square feet of floor space. Based on marketing and demographic surveys of the area and historical data from its other stores, W-Mart estimates its annual profit per square foot for each of the store's departments to be as shown in the table below. Each department must have at least 15,000 square feet of floor space, and no department can have more than 20% of the total retail floor space. Men's, women's, and children's clothing plus housewares keep all their stock on the retail floor; however, toys, electronics, and auto supplies keep some items (such as bicycles, televisions, and tires) in inventory. Thus, 10% of the total retail floor space devoted to these three departments must be set aside outside the retail area for stocking inventory. W-Mart wants to know the floor space that should be devoted to each department in order to maximize profit. Profit per square feet $4.25 5.10 Department Men's clothing Women's clothing Children's clothing Toys Housewares Electronics 4.50 5.20 4.10 4.90 3.80 Auto supplies

W-Mart, a discount store chain, is to build a new store in Alabama. The parcel of land the company has purchased is large enough to accommodate a store with 140,000 square feet of floor space. Based on marketing and demographic surveys of the area and historical data from its other stores, W-Mart estimates its annual profit per square foot for each of the store's departments to be as shown in the table below. Each department must have at least 15,000 square feet of floor space, and no department can have more than 20% of the total retail floor space. Men's, women's, and children's clothing plus housewares keep all their stock on the retail floor; however, toys, electronics, and auto supplies keep some items (such as bicycles, televisions, and tires) in inventory. Thus, 10% of the total retail floor space devoted to these three departments must be set aside outside the retail area for stocking inventory. W-Mart wants to know the floor space that should be devoted to each department in order to maximize profit. Profit per square feet $4.25 5.10 Department Men's clothing Women's clothing Children's clothing Toys Housewares Electronics 4.50 5.20 4.10 4.90 3.80 Auto supplies

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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Question

Suppose W-Mart is considering purchasing a parcel of land adjacent to the current site on which it plans to build its store. The cost of the parcel is $190,000, and it would enable WMart to increase the size of its store to 160,000 square feet. Discuss whether W-Mart should purchase the land and increase the planned size of the store.

W-Mart
W-Mart, a discount store chain, is to build a new store in Alabama. The parcel of land the
company has purchased is large enough to accommodate a store with 140,000 square feet of
floor space. Based on marketing and demographic surveys of the area and historical data from
its other stores, W-Mart estimates its annual profit per square foot for each of the store's
departments to be as shown in the table below.
Each department must have at least 15,000 square feet of floor space, and no department can
have more than 20% of the total retail floor space. Men's, women's, and children's clothing plus
housewares keep all their stock on the retail floor; however, toys, electronics, and auto supplies
keep some items (such as bicycles, televisions, and tires) in inventory. Thus, 10% of the total
retail floor space devoted to these three departments must be set aside outside the retail area
for stocking inventory. W-Mart wants to know the floor space that should be devoted to each
department in order to maximize profit.
Profit per square feet
$4.25
5.10
Department
Men's clothing
Women's clothing
Children's clothing
Toys
Housewares
Electronics
4.50
5.20
4.10
4.90
Auto supplies
3.80

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