Set up the Linear Programming problem for the following word problem. Do Not Solve.   Production A company makes three products, I, II, and III, at three different factories. At factory A, it can make 10 units of each product per day. At factory B, it can make 20 units of II and 20 units of III per day. At factory C, it can make 20 units of I, 20 units of II, and 10 units of III per day. The company has orders for 200 units of I, 500 units of II, and 300 units of III. If the daily costs are $200 at A, $300 at B, and $500 at C, find the number of days that each factory should operate in order to fill the company’s orders at minimum cost. Find the minimum cost.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Set up the Linear Programming problem for the following word problem. Do Not Solve.

 

Production A company makes three products, I, II,

and III, at three different factories. At factory A, it can

make 10 units of each product per day. At factory B, it

can make 20 units of II and 20 units of III per day. At

factory C, it can make 20 units of I, 20 units of II, and

10 units of III per day. The company has orders for 200

units of I, 500 units of II, and 300 units of III. If the

daily costs are $200 at A, $300 at B, and $500 at C, find

the number of days that each factory should operate

in order to fill the company’s orders at minimum cost.

Find the minimum cost.

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