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The Ace Manufacturing Company has orders for three similar products. Product Orders ( units ) A A 1 , 8 0 0 B B 4

The Ace Manufacturing Company has orders for three similar products.
Product Orders
(units)
A A 1,800
B B 400
C C 1,300
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.
Machine Capacity
(units)
111,700
221,500
33700
Machine
Product 123
A $1.00 $1.30 $1.10
B $1.20 $1.40 $1.00
C $0.90 $1.20 $1.20
Use the transportation model to develop the minimum cost production schedule for the products and machines.
(a)
Show the linear programming formulation. (Let xA1 be the number of units of product A produced by machine 1,
xij
be the number of units of product i produced by machine j, etc.)
Min $$
Incorrect: Your answer is incorrect.
s.t.
Machine 1 Capacity $$
Incorrect: Your answer is incorrect.
Machine 2 Capacity $$
Incorrect: Your answer is incorrect.
Machine 3 Capacity $$
Incorrect: Your answer is incorrect.
Product A Orders $$
Incorrect: Your answer is incorrect.
Product B Orders $$
Incorrect: Your answer is incorrect.
Product C Orders $$
Incorrect: Your answer is incorrect.
xij >=0 for all i, j.
(b)
Show the production schedule.
(xA1, xA2, xA3, xB1, xB2, xB3, xC1, xC2, xC3)=
$$
Incorrect: Your answer is incorrect.
(c)
Determine the cost (in dollars) of the production schedule.
Total = $3230

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