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.
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
Section: Chapter Questions
Problem 1RQ
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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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