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.
The optimal solution is X=0, and Y=120
A)What would the maximum possible profit be?
B)How many house 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?