IREA multinational group designs and sells ready-to-assemble furniture, kitchen appliances, and home accessories. It has multiple sections, each section focusing on different home areas such as bedroom, bathroom, living room, etc. One of its sections deals with computer tables and ergonomically designed chairs. The store sells a table for AED275 and a chair for AED195.
Its carpentry section allotted 200 hours per week to produce these products. A table requires 1.5 hours of labor and a chair requires 1 hour of labor. Currently, the store has 500 units of wood, of which a table requires 6 units and a chair requires 2 units. Both the tables and chairs use rolling wheels. The wheels attached to a table can be arrested but the ones attached to a chair cannot be arrested. The wheels used by IREA have both the options and IREA has a current stock of 1,000 such wheels. A table uses 4 wheels and a chair uses 5 wheels. The company can sell at least 50 tables and at most 150 chairs per week. How many tables and chairs should the store make to maximize its revenue this week?
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.