A manufacturer produces chairs cabinets and tables using two

A manufacturer produces chairs, cabinets and tables, using two types of wood: Maple and Birch. Each chair requires one unit of Maple wood and 2 units of Birch wood, with a profit of $80; each cabinet requires 2 units of Maple with a profit of $120; each table requires 2 units of Maple and 8 units of Birch with a profit of $100. The manufacturer has 100 units of Maple wood and 80 units of Birch wood available.

(a) Formulate a linear programming problem for maximizing the profit of the manufacturer in standard maximization form.

(b) How should the manufacturer utilize the wood so as to maximize its profit?

(c) What is the maximum profit of the manufacturer?

Solution