Consider the following LP: maxs.t.x1,x2,x305x1+3x2+2x32x1+x2+3x3750x1+3x2+x35304x1+2x2+x3480 in which x1 is the number of ordered car doors, x2 is the number of ordered engines and x3 is the number of ordered transmitters. The objective function maximizes the profit while the first, second, and third constraints ensure the budget limit, labor limit and storage capacity limit respectively. The Excel sensitivity report of the given LP is given below: Objective Cell (Max) Derision Variahle C.elle Answer the following questions based on the Excel output. a-) What is the optimal solution and the optimal solution value? 3 PRACTICE 6 b-) Which constraints are binding? c-) Determine the range of objective coefficients such that the current optimal solution remains optimal. d-) Determine the range of RHS values such that the current optimal solution remains optimal. e-) What would happen to the objective function if the RHS of the first constraint is increased by 1 unit? f-) If you had the option of increasing the RHS of one of the resources by 1 unit, which one would you choose and why? g-) What would happen to the optimal solution if the RHS of the second constraint is increased by 100 unit? h-) What would happen to the optimal solution if the coefficient of the first variable is made 2 instead of 5