A production manager must decide how many units of three cus…
A production manager must decide how many units of three custom furniture products to manufacture today: Chairs (C), Tables (T), and Desks (D). The goal is to maximize profit while satisfying minimum customer order requirements and not exceeding current inventory of materials. The products require different amounts of Wood, Metal, and Labor Hours, and generate different profit margins. Product Wood Required (ft²) Metal Required (lbs) Labor Required (hrs) Profit per Unit Minimum Orders Chair (C) 6 4 3 $40 12 Table (T) 10 6 5 $75 5 Desk (D) 12 8 7 $95 3 Inventory Available: Wood: 300 ft² Metal: 240 lbs Labor: 175 hours Note: Non-integer production quantities are allowed. Round your final answers to two decimal place. How many tables should be produced to achieve the optimal profit? units At the optimal solution, what is the total amount of metal used (in pounds)? lbs What is the maximum total profit the company can earn under the given constraints? $