Outdoor and More produces chairs, couches, and lounges. The owner is planning th

Question

Outdoor and More produces chairs, couches, and lounges. The owner is planning the production schedule for the next week. All the products are made of metal, of which the company has 1,000 yards of material, with chairs requiring 1.5 yards, couches requiring 3.5 yards, and lounges requiring 3 yards. The products are also covered in rattan. The company has 20,000 yards of rattan, with chairs requiring 20 yards of material, couches require 45 yards and a lounge requires 35 yards. The company has a fabrication machine that can operate 60 hours a week. Each chair requires 10 minutes to fabricate, couch takes 15 minutes and a lounge takes 12 minutes. The chairs retail for $70, couches for $150 and lounges for $190. The variable cost of a chair is $25, a couch is $55, and the lounge is $50. Write the linear program for maximizing profit.

Explanation / Answer

Decision variables:

Let A = No of chairs to be produced

B = No of couches to be produced

C = No of lounges

Objective function is to maximize profits

Max Z= (70-25)A + (150-55)B + (190-50)C

Z = 45A + 95B + 140C

Constraints:

1.5A + 3.5B + 3C <=1000 (Metal)

20A + 45B + 35C <=20000 (Rattan)

10A + 15B + 12C <= 3600 Minutes

A,B,C>=0

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