Answered: A company sells seven types of boxes,…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A company sells seven types of boxes, ranging in volume from 17 to 33 cubic feet. The demand and size of each box are given as: Box Type 1 | 2 | 3 | 4 | 5 | 6 | 7 Size 33 | 30 | 26 | 24 | 19 | 18 | 17 Demand 400 | 300 | 500 | 700 | 200 | 400 | 200 The variable cost (in dollars) of producing each box is equal to the box's volume. A fixed cost of $1,000 is incurred to produce any quantity of a particular box. If the company desires, demand for any type of box can be satisfied by a box of a larger size. Formulate but do not solve an interger linear program, model to determine the minimum cost of meeting the demand for boxes. Be sure to define your decision variables. Your objective function and constraints must be linear functions; do not multiply decision variables by each other. For the above problem, I'm having some trouble with defining the constraints for a linear integer and would appreciate some assistance.

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