mpany 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

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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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.

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.

2. 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)
Y
A
4
9.
В
4
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.
Transcribed Image Text:2. 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) Y A 4 9. В 4 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.
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