Question

A Furniture Company produces chairs and tables from two resources- labor and wood. The company has 125 hours of labor and 45 board-ft. of wood available each day. Demand for chairs is limited to 5 per day. Each chair requires 7 hours of labor and 3.5 board-ft. of wood, whereas a table requires 14 hours of labor and 7 board-ft. of wood. The profit derived from each chair is $325 and from each table, $120. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Formulate a linear programming model for this problem.

a. Formulate a linear programming model for this problem.

b. Solve the model by using graphical analysis. (Do not round the answers)

c. How much labor and wood will be unused if the optimal numbers of chairs and tables are produced?

Vertex	x1	x2
1
2
3
4
5

		x1	x2
optimal vertex

optimal objective function value

Answer 1