Products Operating cost per hour Y Plant A 2 4 Plant B 2 10 Orders on hand 50 24 60 Formulate the above as a linear programming problem. Find the number of production hours needed to fulfill the orders on hand at minimum cost using the using Big M method.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A company possesses two manufacturing plants, each of which can produce three products, X, Y, and Z, from
a common raw material. However, the proportion in which the products are produced differs in each plant,
and so are plant's operating costs per hour. Data on production per hour and costs are given below,
together with current orders in hand of each product.
Products
Operating cost per
hour
Y
Plant A
4
9.
Plant B
4
2
10
Orders on hand
50
24
60
Formulate the above as a linear programming problem. Find the number of production hours needed to
fulfill the orders on hand at minimum cost using the using Big M method.
Transcribed Image Text:A company possesses two manufacturing plants, each of which can produce three products, X, Y, and Z, from a common raw material. However, the proportion in which the products are produced differs in each plant, and so are plant's operating costs per hour. Data on production per hour and costs are given below, together with current orders in hand of each product. Products Operating cost per hour Y Plant A 4 9. Plant B 4 2 10 Orders on hand 50 24 60 Formulate the above as a linear programming problem. Find the number of production hours needed to fulfill the orders on hand at minimum cost using the using Big M method.
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