1) The Changloon Furniture Company produces chairs and tables from two resources-labor and wood. The company has 80 hours of labor and 36 kg of wood available each day. Demand for chairs is limited to six per day. Each chair requires 8 hours of labor and 2 kg of wood to produce, while a table requires 10 hours of labor and 6 kg of wood. The profit derived from each chair is RM400 and from each table RM100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit.

a)Formulate a linear programming model for this problem.

b)Solve this model graphically.

c)Prove your answer mathematically.

d) If the optimal number of chairs and tables are produced, how much labor and wood

will be unused?