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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

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