The Diamond Dogs Company is trying to schedule production of two very popular figures for the next three months: “Shalashaska†and “The Big Bossâ€. Information about both figures is given below.
| toy | begin invty. June 1st | Required Plastic | Required time | Production cost | Production cost |
| Shalashaska | 25 | 5 | 2 | 12 | 1 |
| The Big Boss | 55 | 4 | 3 | 14 | 1.2 |
| Summer Schedule | Plastic Available | Time Available | Monthly Demand Shalashaka | Momthly Demand The BIg Boss | |
| June | 3500 | 2100 | 220 | 450 | |
| July | 5000 | 3000 | 350 | 700 | |
| August | 4800 | 2500 | 600 | 520 |
Inventory cost will be levied on any items in inventory on June 30, July 31, or August 31 after demand for the month has been satisfied. Your model should make use of the relationship
Beginning Inventory + Production – Demand = Ending Inventory
Let Pij = number of toy i to produce in month j
Sij = surplus (inventory) of toy i at end of month j
Formulate the demand constraints only for each product in each month using the above relationship using the same variables notations given Pij and Sij (Hint: you should have 6 constraints)
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