Linear Optimization Model: Toys
Super Toys Company makes to radio-controlled cars, Fast and SuperFast. They can sell all they make. Both models have the same components. Two of these can be obtained only from a single supplier. For next month, the supply of these is limited to 4000 of component X and 3500 of component Y. The following table provides details on the number of each component required for each product and the profit per unit.
....................................Components Required/Unit........................
.....................................A......................B........................Profit/Unit
Fast.............................18.....................6..............................$24
SuperFast....................12.....................10............................$40
1. What are the decision variable, objective function and constraints
2. Mathematically formulate a linear optimization model.
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SOLUTION This solution is FREE courtesy of BrainMass!
1. What are the decision variable, objective function, and constraints
The decision variables are the number of units that must be produced for Fast and SuperFast. Mathematically there are usually expressed as single digits. Let F and SF be the number of units, of Fast and SuperFast, produced respectively.
The objective function is the mathematical function which must be satisfied. The function could be either to maximize or minimize. From the question, the objective is to maximize the profit.
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