Example 12.8. A firm uses milling machines, grinding machines and lathes to pro- duce two motor parts. The machining times required for each part, the machining times avail- able on different machines and the profit on each motor part are given below : Machining time reqd. for the motor part (mts) Max. time available per week (minutes) Type of machine II Milling machines Grinding machines Lathes 10 4 2,000 900 3 6 12 3,000 Profit/unit (Rs.) 100 40 Determine the number of parts I and II to be manufactured per week to maximize the profit.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.8: Linear Programming
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I Example 12.8. A firm uses milling machines, grinding machines and lathes to pro-
duce two motor parts. The machining times required for each part, the machining times avail-
able on different machines and the profit on each motor part are given below :
.Machining time reqd.
for the motor part
(mts)
Max. time.
available per
week (minutes)
Type of machine
I
II
Milling machines
Grinding machines
Lathes
Profit/unit (Rs.)
10
4
2,000
3
2
900
6
12
3,000
100
40
Determine the number of parts I and II to be manufactured per week to maximize the
profit.
Transcribed Image Text:I Example 12.8. A firm uses milling machines, grinding machines and lathes to pro- duce two motor parts. The machining times required for each part, the machining times avail- able on different machines and the profit on each motor part are given below : .Machining time reqd. for the motor part (mts) Max. time. available per week (minutes) Type of machine I II Milling machines Grinding machines Lathes Profit/unit (Rs.) 10 4 2,000 3 2 900 6 12 3,000 100 40 Determine the number of parts I and II to be manufactured per week to maximize the profit.
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