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2.) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, re square feet of floor space, and holds 8 cubic feet of files. Cabinet Y costs $20 per unit, r 8 square feet of floor space, and holds 12 cubic feet of files. You have been given $140 purchase, though you don't have to spend that much. The office has room for no more square feet of cabinets. How many of each model should you buy in order to maximize volume?

2.) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, re square feet of floor space, and holds 8 cubic feet of files. Cabinet Y costs $20 per unit, r 8 square feet of floor space, and holds 12 cubic feet of files. You have been given $140 purchase, though you don't have to spend that much. The office has room for no more square feet of cabinets. How many of each model should you buy in order to maximize volume?

Advanced Engineering Mathematics
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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2.) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires 6 square feet of floor space, and holds 8 cubic feet of files. Cabinet Y costs $20 per unit, requires 8 square feet of floor space, and holds 12 cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of each model should you buy in order to maximize storage volume? a) Formulate the problem, listing the decision variables, the objective function, and constraints (i.e., give the mathematical model).
Transcribed Image Text:2.) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires 6 square feet of floor space, and holds 8 cubic feet of files. Cabinet Y costs $20 per unit, requires 8 square feet of floor space, and holds 12 cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of each model should you buy in order to maximize storage volume? a) Formulate the problem, listing the decision variables, the objective function, and constraints (i.e., give the mathematical model).
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