16. The Gourmet Grill Company manufactures and sells two different types of grills: propane and electric. Each propane grill sells for $320 and costs $220 to manufacture. Each electric grill sells for $260 and costs $180 to manufacture. Each grill goes through four operations in the manufacturing process. The hours required by each type of grill in each of these manufacturing processes is summarized as follows: Hours Required per Unit Manufacturing Process Propane Machine Press Fabrication Electric 2 1 4 5 Assembly 2 3 Testing 1 1 In the next production cycle there are 2,400 hours of machine press time available, 6,000 hours of fabrication, 3,300 hours of assembly, and 1,500 hours of testing capacity. Assume Gourmet Grill can sell everything they make and would like to determine the production plan that would maximize profit. a. Formulate an LP model for this problem. b. Sketch the feasible region for this problem. c. Determine the optimal solution to this problem using level curves.
16. The Gourmet Grill Company manufactures and sells two different types of grills: propane and electric. Each propane grill sells for $320 and costs $220 to manufacture. Each electric grill sells for $260 and costs $180 to manufacture. Each grill goes through four operations in the manufacturing process. The hours required by each type of grill in each of these manufacturing processes is summarized as follows: Hours Required per Unit Manufacturing Process Propane Machine Press Fabrication Electric 2 1 4 5 Assembly 2 3 Testing 1 1 In the next production cycle there are 2,400 hours of machine press time available, 6,000 hours of fabrication, 3,300 hours of assembly, and 1,500 hours of testing capacity. Assume Gourmet Grill can sell everything they make and would like to determine the production plan that would maximize profit. a. Formulate an LP model for this problem. b. Sketch the feasible region for this problem. c. Determine the optimal solution to this problem using level curves.
Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter7: Proudction Costs
Section: Chapter Questions
Problem 8SQP
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Transcribed Image Text:16. The Gourmet Grill Company manufactures and sells two different types of grills:
propane and electric. Each propane grill sells for $320 and costs $220 to
manufacture. Each electric grill sells for $260 and costs $180 to manufacture. Each
grill goes through four operations in the manufacturing process. The hours required
by each type of grill in each of these manufacturing processes is summarized as
follows:
Hours Required per Unit
Manufacturing Process
Propane
Machine Press
Fabrication
Electric
2
1
4
5
Assembly
2
3
Testing
1
1
In the next production cycle there are 2,400 hours of machine press time available,
6,000 hours of fabrication, 3,300 hours of assembly, and 1,500 hours of testing
capacity. Assume Gourmet Grill can sell everything they make and would like to
determine the production plan that would maximize profit.
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this problem.
c. Determine the optimal solution to this problem using level curves.
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