Please help solve the solution below. I need to have this done in 45 minutes and I am struggling to solve my last questions.
Problem 2: Comp-Max Computers assembles computers and computer equipment. It is about to start production of threenew types of computers, called model X, Y, and Z, respectively. Each type will require assembly time, inspection time, andstorage space. The availability of each of these resources is limited. Specifically, available assembly time is 400 hours, available inspection time is 300 hours, and available storage space is 500 cubic feet (about 14.2 ms). The amount of eachresource required for the different products is reported in the table below. Model X earns a profit of $100 per unit, model Yearns a profit of $125 per unit, and model 2 earns a profit of $200 per unit. Due to some prior agreements with customers,Comp-Max must produce at least 12 model X computers. In addition, management requires that the fraction of totalproduction made up of model 2 computers must not exceed 25%. RESOURCE REQUIREMENTSAssembly time Inspection time Storage space MODEL hrs/unit hrsJunit cu. ft.lunitX 6 l 2Y 7 2 4Z 8 3 6 Formulate a linear program (LP) that will help the manager determine the quantity of each model to produce in order tomaximize profit. (Note: You do not have to solve the LP — just formulate it!) 3). Define the decision variables for this problem. [6 pts] b). Write out the objective function for this problem in terms of the decision variables defined above. [2 pts] 0). Write out any constraints necessary for this problem in terms of the decision variables defined above. [10 pts]
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