A furniture cabinet maker produces two types of cabinets, classic and

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A furniture cabinet maker produces two types of cabinets, Classic and Modern, that house and hide LCD TVs. The resource requirements and profit for the two types of cabinets are shown below.

The firm has a budget of $185,000 to spend on materials. The firm has 2,000 labor hours are available for use. What is the best combination of furniture cabinets to be made? Solve this two decision variable problem using the LP Graphing utility.

a) What is the profit (value of the objective function) for the optimal solution?

b) How many Classic models should be produced (based on the optimal solution)?

c) How many Modern models should be produced (based on the optimal solution)?

d) Is the production of 80 Classic models and 160 Modern models feasible (not asking if it is

optimal). Does it fall in the feasible region?

e) Is the production of 160 Classic models and 100 Modern models feasible (not asking if it is

optimal). Does it fall in the feasible region?

Resource Requirements and Profitability

Model

Classic Modern

Materials ($/unit) Labor (hrs./unit) Profit ($/unit)

600 4 250

800 12 350