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    Linear Optimization Model: Toys

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    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.

    © BrainMass Inc. brainmass.com December 24, 2021, 11:01 pm ad1c9bdddf
    https://brainmass.com/math/optimization/linear-optimization-model-toys-527109

    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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    Please see attachments for complete solution.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 11:01 pm ad1c9bdddf>
    https://brainmass.com/math/optimization/linear-optimization-model-toys-527109

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