Question

Consider the following problem that you intend to set up as a linear programming problem. Gillian’s restaurant has an ice cream shop where it sells two main products: ice cream and frozen yogurts. The restaurant makes one order for ice cream and yogurt each week, and the store has enough freezer space for 115 gallons total for both products. A gallon of frozen yogurt costs the restaurant $0.75 per gallon and a gallon of ice cream costs $0.93, and the restaurant budgets $90.00 each week for both products. The manager, based on historical demand, would like to sell more ice cream than frozen yogurt. Profit per gallon of ice cream is $4.00 and profit per gallon of frozen yogurt is $3.00. The restaurant would like to optimize its weekly order to maximize its weekly profitability.

How many decision variables are there?

Answer 1

Decision variables are unknown variables in mathematical programming model.

The problem would be solved by deciding what value should be assigned to each variable subject to available constraints.

Decision variables can be controlled.

The restaurant would like to optimize its weekly order to maximize its weekly profitability so restaurant need to find out how many gallons of icr cream and how many gallons of yogurt should be made to maximize the profit.

Budgeted cost and freezer space are the constraints.

So there are two decision variable

X1 = Gallons of Ice cream

X2 = Gallons of Yogurt

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