Question

Review Homework.pdf - Adobe Acrobat Pro DC File Edit View Window Help Home Tools. Review Homework.... * 1. Consider the following LP: Max z = 5x1 + x2 s.t. 2x1 + x2 56 Xi - X2 SO 6x1 + x2 S12 X1, X220 Plot the constraints on the graph and identify the feasible region and determine the optimal value of the objective function and the values of the decision variables. Da 2. Priceler manufactures sedans and wagons. The number of vehicles that can be sold each of the next three months are listed to Table 1. Each sedan sells for $10000 and each wagon sells for $11000. It cost $7000 to produce a sedan and $8000 to produce a wagon. To hold a vehicle inventory for one month cost $160 per sedan and $210 per wagon. During each month, at most 1600 vehicles can be produced. Production line restrictions dictate that during month 1, at least two thirds of all cars produced must be sedans. At the beginning of the first month, 400 sedans and 300 wagons are available Formate an up that can be used to maximize Pricesler's profit during the next three months. Sedans Wagons Month 1 1200 700

could you please solve problem 1 ?
Thank you for your cooperation

Answer 1

1 2 3 4 5

The points of optimality are ( 0.6) (1.5,3) and ( 12/7, 12/7)

value of objective function at

(0,6) = 5x0+1x6 =6

(1.5,3) = 5x1.5+1x3 =10.5

( 12/7,12/7) = 5x12/7+1x12/7 = 10.28

The optimal solution is obtained at (1.5,3), which is 10.5