The Hagger Engineering Company is considering five projects forthe next year. Th

The Hagger Engineering Company is considering five projects forthe next year. The projects the number of engineers and the numberof support personnel required for each project and the expectedprofits for each project are given below.Project1 2 3 4 5Engineers Required 30 30 40 35 50Support Personnel Required 40 30 45 50 40Profit (in thousands of dollars) 250 300 200 180 320Formulate a capital budgeting problem that maximizes the companysprofit subject to the following constraints: Use no more than 160 engineers Use no more than 150 support personnel If project 5 is done then project 3 must be done and viceversa No more than four projects must be selectedFormulate an integer programming model for the above situation bydetermining(a) The decision variables(b) The objective function(c) All the constraints