Part 1: 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 manufacturing and six hours of assembly. There are 600 fabrication hours and 480 hours of assembly time available this week. Each H contributes $40 to profits, and each W contributes $30 to profits. What quantities of H and W will maximize profits? How much profit will the manufacturer realize?
Part 2: What is a balanced transportation problem? Describe the approach you would use to solve an unbalanced problem.