a company possesses  two manufacturing plants, each of which can produce three products: X,Y, and Z  from common raw material. However, the proportions in which the products are produced are different in each plant and so are the plant’s operating costs per hour. Following are the data on the production per hour and costs together with current orders in hand for each product. a company possesses two manufacturing plants, each of which can produce three products: X,Y, and Z from common raw material. However, the proportions in which the products are produced are different in each plant and so are the plant’s operating costs per hour. Following are the data on the production per hour and costs together with current orders in hand for each product. Plant product      operating cost per hour(birr)       X YZ A       2 4 3 9 B           4 3 2 10

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 49P
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 a company possesses  two manufacturing plants, each of which can produce three products: X,Y, and Z  from common raw material. However, the proportions in which the products are produced are different in each plant and so are the plant’s operating costs per hour. Following are the data on the production per hour and costs together with current orders in hand for each product. a company possesses two manufacturing plants, each of which can produce three products: X,Y, and Z from common raw material. However, the proportions in which the products are produced are different in each plant and so are the plant’s operating costs per hour. Following are the data on the production per hour and costs together with current orders in hand for each product.

Plant product      operating cost per hour(birr)

      X YZ

A       2 4 3 9

B           4 3 2 10

Orders on hand     54 24 60

You are required to use graphical method to find out the number of production hours needed to fulfill the orders on hand at minimum cost.You are required to use graphical method to find out the number of production hours needed to fulfill the orders on hand at minimum cost.

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,