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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.

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.

Advanced Engineering Mathematics
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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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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