Question: Consider the following minimization problem: Minimize 100 x1 + 150 x2 s.t. 10x1 + 4 x2 80 X1 + x2 0 a. (0.3 points) Draw

Consider the following minimization problem:

Consider the following minimization problem: Minimize 100 x1 + 150 x2 s.t. 10x1 + 4 x2 80 X1 + x2 0 a. (0.3 points) Draw the feasible region. b. (0.4 points) Re-write the problem in standard form (all equality constraints by introducing slack and surplus variables) C. (0.4 points) Prepare the initial tableau. d. (0.3 points) List the basic and nonbasic variables in the initial tableau and state their values. Show the point in the initial simplex tableau on the graph. e. (0.3 points) List the variables that are eligible for entering the basis. Which one would you select and why? What would be the effect on the objective function? f. (0.3 points) What is the leaving variable? How do you choose it? Show your work

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