An ice cream maker has hired you to help him decide next month's production sched- ule. He needs to determine the quantities of each flavor that should be produced based on the profitability of each flavor and several restrictions. He can produce six differ- ent flavors of ice cream: (1) super-super premium mocha chip, (2) super premium chocolate chocolate chip, (3) super premium Snickers bar crunch, (4) vanilla, (5) chocolate ice milk, and (6) Yuppie's Delight frozen yogurt. Each product is only avail- able in quarts and has the following unit profits for the ice cream maker:
|
Product
|
Unit Profit ($/quart)
|
|
Super-super premium mocha chip
|
1.00
|
|
Super premium chocolate chocolate chip
|
0.75
|
|
Super premium Snickers bar crunch
|
0.88
|
|
Vanilla
|
0.43
|
|
Chocolate ice milk
|
0.50
|
|
Yuppie's Delight frozen yogurt
|
1.05
|
The total production capacity of the ice cream maker's plant is 10,000 gallons per month. He also knows that he can only sell 1,000 gallons of super-super premium mocha chip, and he must produce at least 2,500 gallons of chocolate ice milk for the local school district. Finally, because he is introducing Yuppie's Delight frozen yogurt and doesn't yet know the market for this product, he only wants to produce 500 gal- lons in the next month. Assuming he wishes to maximize profit and given these restrictions, formulate this decision problem as an LP model in general form.