The Ace Manufacturing Company has orders for three similar products. Orders (units) Product A B с 1 Machine 2 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A a B с Product G 2 2,200 2 300 1,400 Capacity (units) 1,800 1,700 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20
The Ace Manufacturing Company has orders for three similar products. Orders (units) Product A B с 1 Machine 2 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A a B с Product G 2 2,200 2 300 1,400 Capacity (units) 1,800 1,700 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20
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
Transcribed Image Text:(a) Develop the linear programming formulation of this problem. (Let XA₁ be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.)
Min
s.t.
Machine 1 Capacity
Machine 2 Capacity
Machine 3 Capacity
Product A Orders
Product B Orders
Product C Orders
X₁, ≥ 0 for all i, j.
(b) Solve the transportation model for the minimum cost production schedule for the products and machines.
Show the production schedule.
(XA1 XA2 XA3 XB1' XB2' XB3' XC1 XC2' XC3) =
Determine the cost (in dollars) of the production schedule.
Total = $
Transcribed Image Text:The Ace Manufacturing Company has orders for three similar products.
Orders
(units)
2,200
Product
A
B
C с
1
2
Machine
3
Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on
the machine used. Machine capacities for the next week and the unit costs are shown below.
A
A
B
B
C
с
Product
1
2
3
300
1,400
Capacity
(units)
1,800
1,700
800
1
Machine
2
3
$1.00 $1.30 $1.10
$1.20 $1.40 $1.00
$0.90 $1.20 $1.20
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