Susanna Nanna is the production manager for a furniture manufacturing company. The company produces tables (X) and chairs (Y). Each table generates a profit of $80 and requires 3 hours of assembly time and 4 hours of finishing time
Each chair generates $50 of profit and requires 3 hours of assembly time and 2 hours of finishing time. There are 360 hours of assembly time and 240 hours of finishing time available each month. The following linear programming problem represents this situation.
Maximize 80X + 50Y
Subject to: 3X + 3Y ? 360
4X + 2Y ? 240
X, Y ? 0
The optimal solution is X = 0, and Y = 120.
(a) What would the maximum possible profit be?
(b) How many hours of assembly time would be used to maximize profit?
(c) If a new constraint, 2X + 2Y ? 400, were added, what would happen to the maximum possible profit?
(a) 6000, (b) 360, (c) It would not change.
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