A factory packs two kinds of products: ordinary and premium. Each product contains three different types of object: A, B, and C. Each ordinary product has 3 type X objects, 1 type Y toys, and 4 type Z objects. A ordinary product returns $12. Each premium product has 2 type X objects, 5 type Y toys, and 5 type Z objects. A premium product returns $19. Each day, the maximum number of each type of object available to pack is 320 type X, 220 type Y, and 350 type Z. The firm also needs to decide whether to invest in ordinary product or premium product or both. The one-time cost to design ordinary product is $180 and for premium product is $320. The capacity to produce ordinary product is 42 items per day; for premium product it is 35 items per day. Formulate (without solving) a integer programming question to decide which type of product to design and how many to produce, given the product decision.

A factory packs two kinds of products: ordinary and premium. Each product contains three different types of object: A, B, and C. Each ordinary product has 3 type X objects, 1 type Y toys, and 4 type Z objects. A ordinary product returns $12. Each premium product has 2 type X objects, 5 type Y toys, and 5 type Z objects. A premium product returns $19. Each day, the maximum number of each type of object available to pack is 320 type X, 220 type Y, and 350 type Z. The firm also needs to decide whether to invest in ordinary product or premium product or both. The one-time cost to design ordinary product is $180 and for premium product is $320. The capacity to produce ordinary product is 42 items per day; for premium product it is 35 items per day. Formulate (without solving) a integer programming question to decide which type of product to design and how many to produce, given the product decision.

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Description: 4. A factory packs two kinds of products: ordinary and premium. Each product contains three different types of object: A, B, and C.Each ordinary product has 3 type X objects, 1 type Y toys, and 4 type Z objects. A ordinary product returns $12.Each pr

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 73P

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