Three different types of coupling units are produced by a firm. The times required for machining, polishing and assembling a unit of each type are included in the information given in the following table: Туре of unit Process time Profit (hours per unit) Polishing (£ per unit) Machining 4 Assembling 2 A 1 110 2 3 1 100 3 2 4 120 Available time 320 250 280 (hours/week) The firm is required to supply a total of at least 100 units of mixed types each week. Determine: a. the weekly output of each type to maximize profit b. the maximum weekly profit

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Three different types of coupling units are produced by a firm. The times required for
machining, polishing and assembling a unit of each type are included in the information given in
the following table:
Туре of unit
Process time
Profit
(hours per unit)
Polishing
(£ per unit)
Machining
Assembling
A
4
1
110
2
3
1
100
C
3
4
120
Available time
320
250
280
(hours/week)
The firm is required to supply a total of at least 100 units of mixed types each week. Determine:
a. the weekly output of each type to maximize profit
b. the maximum weekly profit
Transcribed Image Text:Three different types of coupling units are produced by a firm. The times required for machining, polishing and assembling a unit of each type are included in the information given in the following table: Туре of unit Process time Profit (hours per unit) Polishing (£ per unit) Machining Assembling A 4 1 110 2 3 1 100 C 3 4 120 Available time 320 250 280 (hours/week) The firm is required to supply a total of at least 100 units of mixed types each week. Determine: a. the weekly output of each type to maximize profit b. the maximum weekly profit
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