DSC-B305-04
Production & Operations Management

Winston, Pg. 38-9

1. Leary Chemical manufactures three chemicals: A, B, & C. These chemicals are produced via two production processess: 1 and 2. Running process 1 for an hour costs $4 and yields 3 units of A, one unit of B, and one unit of C. Running process 2 for an hour costs $1 and yields one unit of A and one unit of B. To meet customer demands, at least ten units of A, five units of B, and three units of C must be produced daily.

Set up a linear programming formulation set to minimize the cost of production.

2. Furnco manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. Desk contributes $40 to profit, and a chair contributes $25. Marketing restrictions require that the number of chairs produced be at least twice the number of desks produced. There are 20 units of wood available.

Set up a linear programming formulation set to maximize the profit.

3. A farmer in Iowa owns 45 acres of land. She is going to plant each acre with wheat or corn. Each acre planted with wheat yields $200 profit; each with corn yields $300 profit. The labor and fertilizer used for each acre are given in the table below. One hundred workers and 120 tons of fertilizer are available.

Set up a linear programming formulation set to maximize the profit.

Due at the start of class on TUESDAY, SEPT. 1