Question
ABC Toys Company is trying to schedule production of two very popular toys for the next three months: a rocking horse and a scooter. Information
ABC Toys Company is trying to schedule production of two very popular toys for the next three months: a rocking horse and a scooter. Information about both toys is given below.
Beg. Inv. | Required | Required | Production | Inventory | |
Toy | June 1 | Plastic | Time | Cost ($) | Cost ($) |
Rocking horse | 25 | 10 | 1 | 11 | 1.05 |
Scooter | 55 | 8 | 1.5 | 14 | 1.2 |
Plastic | Time | Monthly Demand | Monthly Demand | |
Summer Schedule | Available | Available | Horse | Scooter |
June | 7000 | 1050 | 220 | 450 |
July | 10000 | 1500 | 350 | 700 |
August | 12600 | 1650 | 600 | 520 |
Minimize: 11P11 + 11P12 + 11P13 + 14P21 + 14P22 + 14P23 + 1.05S11 + 1.05S12 + 1.05S13 + 1.2S21 + 1.2S22 + 1.2S23
s.t.
P11 - S11 = 220-25 = 195
S11 + P12 - S12 = 350
S12 + P13 - S13 = 600 and S13 150
P21 - S21 = 450 - 55 = 395
S21 + P22 - S22 = 700
S22 + P23 - S23 = 520 and S23 60
10P11 + 8P21 7000
10P12 + 8P22 10000
10P13 + 8P23 12600
P11 + 1.5P21 1050
P12 + 1.5P22 1500
P13 + 1.5P23 1650
Pij, Sij 0
Provide a computer solution to the model. To show your work, include a screen capture of the answer you obtained on a computer.
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