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, each W contributes $30 to profits. What quantities of H and W will maximize profits?(1)Formulate a linear programming model for this problem.(2)Solve the problem using Isoprofit Line Method or Corner Point Method or Excel