Problem \#B-1: Solve these problems using simultaneous equations to determine the optimal values of the decision variables and the objective function. a. MaximizeZ=41+32Subjectto:Material:Labor:61+42=48lb41+82=80hr1,2>=0 b. Maximize Z=6A+3B Subject to: Material: 20A+6B=0 Solution \#B-1: a. x1=2x2=9 Profit =35 b. ABProfit=24=20=204 Problem \#B-2: An appliance manufacturer produces two models of microwave ovens: H and W. Both models require fabrication and assembly work; each H uses four hours of fabrication and two hours of assembly, and each W uses two hours of fabrication and six hours of assembly. There are 600 fabrication hours available this week and 480 hours of assembly. Each H contributes $40 to profits, and each W contributes $30 to profits. What quantities of H and W will maximize profit? What is the maximum profit? Solution \#B-2: Maxz=$40H+$30W Subject to: Fabrication: 4H+2W