Susanna Nanna is the production manager for a furniture manufacturing company.The company produces tables (X1) and chairs (X2). Each table generates a profit of $12 and requires 4 hours of assembly time and 2 hours of finishing time. Each chair generates $10 of profit and requires 3 hours of assembly time and 3 hours of finishing time. There are 480 hours of assembly time and 360 hours of finishing time available each month.The following linear programming problem represents this situation.
The problem is formatted as:
Maximize: 12X1 + 10X2

Subject to: 4X1 + 3X2\leq 480
2X1 + 3X2\leq 360
X1,X2\geq 0
Plot the constraints on a graph and determine which corner point is the optimal solution. What is the profit in the optimal solution? (Hint: use corner point solution method)