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M3_IND1. A furniture cabinet maker produces two types of cabinets, Classic and Modern, that house and...

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Basic Math

M3_IND1. A furniture cabinet maker produces two types ofcabinets, Classic and Modern, that house and hide LCD TVs. Theresource requirements and profit for the two types of cabinets areshown below.

Resource Requirements and Profitability Model Materials ($/unit)Labor (hrs./unit) Profit ($/unit)

   material($units)    labor(Hours/units)   profits($/units)

Classic 800 12    350

Modern 600    4    250

The firm has a budget of $185,000 to spend on materials. Thefirm has 2,000 labor hours are available for use. What is the bestcombination of furniture cabinets to be made? Solve this twodecision variable problem using the LP Graphing utility. a) What isthe profit (value of the objective function) for the optimalsolution? b) How many Classic models should be produced (based onthe optimal solution)? c) How many Modern models should be produced(based on the optimal solution)? d) Is the production of 80 Classicmodels and 160 Modern models feasible (not asking if it isoptimal).

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