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Question 11 20 points A company wants to select project to run. There are 3 possible project candidates, PI.P2, P3, N and Ps. Following table shows the project cost, its anticipated profit (units in S1000) upon completion of the project and its required labor bours for each project PI P2 PB P4 PS Expected Cost (unit in 500 600 1000 500 700 $1000) Expected Profit unit in 1800 1600 3500 1300 1700 51000) Expected Ishar hours 15 10 20 8 11 required (unit in 1000hrs) The project manager wants to let project(s) to make maximum profit. However, the company should consider the following limits Rutgetimit $1,000,000 Labor hours limit: 20,000 hours a case formulate this problem sa LP to maximize the profit (15 points) For full credits, fint detine your decision variables (2 points), the objective function points and constraints (points) The decision variables should be binary variables. For example, Pl- binary variable ithe project 1 is selected -1, otherwise Be careful on unit . You may need to use a keyword (INT for Lindo, BIN for Solver) for the binary variables by the Lindo, Solver or any software to solve this problem. What is the max profit? Which project() need to be performed to maximize the company profi (5 points) For the toolbar, prest ALT+F10 PC) O ALTFR Foad