Reference no: EM133185814

1. The Outdoor Furniture Corporation manufactures two products, benches and picnic tables. The firm has two main resources: its carpenters (labor force) and a supply of redwood for use in the furniture. During the next production cycle, 1,200 hours of labor are available under a union agreement. The firm also has a stock of 3,500 feet of good-quality redwood.

Each bench that Outdoor Furniture produces requires 6 labor hours and 12 feet of redwood; each picnic table takes 9 labor hours and 40 feet of redwood.

Completed benches will yield a profit of $10 each, and tables will result in a profit of $20 each.

(a) Let B = number of benches to produce and

T = number of tables to produce.

Write down the linear programming model to decide how many benches and tables should be produced to obtain the largest possible profit. Attempt to solve the problem.

(b)  Is B = 70, T = 70 feasible solution? How about B= 70, T = 60?

(c)  Give an example of a feasible solution that yields total profit of at least $2,000. (There are many such solutions.) Decimal numbers are OK.