A greeting card manufacturer has 500 boxes of a particular card in warehouse I and 290 boxes of the same card in warehouse II. A greeting card shop in San Jose orders 350 boxes of the card, and another shop in Memphis orders 250 boxes. The shipping costs per box to these shops from the two warehouses are shown in the following table: DESTINATION San Jose Memphis Warehouse I $0.25 $0.22 Warehouse II $0.23 $0.21 How many boxes should be shipped to each city from each warehouse to minimize shipping costs? Do not solve; however, set up the constraints and the objective function. Describe all variables that are used in the constraints.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A greeting card manufacturer has 500 boxes of a particular card in warehouse I and 290 boxes of the same
card in warehouse II. A greeting card shop in San Jose orders 350 boxes of the card, and another shop in
Memphis orders 250 boxes. The shipping costs per box to these shops from the two warehouses are
shown in the following table:
DESTINATION
San Jose Memphis
Warehouse I $0.25 $0.22
Warehouse II $0.23 $0.21
How many boxes should be shipped to each city from each warehouse to minimize shipping costs? Do not
solve; however, set up the constraints and the objective function. Describe all variables that are used in
the constraints.

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