The Outdoor Furniture Corporation manufactures two products, benches and picnic

Question

The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use in yards and parks. 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 4 labor hours and 10 feet of redwood; each picnic table takes 6 labor hours and 35 feet of redwood. Completed benches will yield a profit of $9 each, and tables will result in a profit of $20 each.

Question 5

The optimal production of benches is and the optimal production of tables is . (Please only enter an integer and include no units. Hint: Because of the resource constraints, you may not be able to produce 4 tables even if the solution is 3.8; you may have to just produce 3 tables.)

Question 5

The optimal production of benches is and the optimal production of tables is . (Please only enter an integer and include no units. Hint: Because of the resource constraints, you may not be able to produce 4 tables even if the solution is 3.8; you may have to just produce 3 tables.)

Explanation / Answer

Let x = benches
let y = tables
let z = propit
so....z= 9x+20y
which subject to
4x+6y<=1200................labour constraint
10x+35y<=3500.............redwood material constraint
so,
x.y => 0,integers

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