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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff64dd0a4-1648-4138-9c05-562ce63f91a5%2F0b4f21fb-15aa-46af-b3fb-383b6a9c6dd1%2F3cgrzn_processed.jpeg&w=3840&q=75)
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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