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. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume? Formulate the problem in mathematical form. Let: x: number of model X cabinets purchased y: number of model Y cabinets purchased What are the constraints? Select all the correct ones from the list 140X + 72Y <= 212 10X + 6Y <= 72 O X and Y >= 0 and Integers 8X + 12Y <= 140 10X + 20Y <= 140 6X + 8Y <= 72

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. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume? Formulate the problem in mathematical form. Let: x: number of model X cabinets purchased y: number of model Y cabinets purchased What are the constraints? Select all the correct ones from the list 140X + 72Y <= 212 10X + 6Y <= 72 O X and Y >= 0 and Integers 8X + 12Y <= 140 10X + 20Y <= 140 6X + 8Y <= 72

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.CR: Chapter Review

Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...

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