Green Carpet Inc. produces and markets different products for lawn care. Two well known fertilizers are U-Smile and U-Golf. Each fertilizer is a blend of two raw materials known as R20 and R30. For the current production period, 900 kilograms of R20 and 400 kilograms of R30 are available. Each kilogram of U-Smile blends 0.6 kg of R20 and 0.4 kg of R30, whereas each kilogram of U-Golf uses 0.75 kg of R20 and 0.25 kg of R30. Due to restrictions on the availability of packaging material, production of U-Golf is restricted to a maximum of 500 kilograms. Profit per kilogram of both products is $5. (a) Formulate as a linear programming problem. (b) Plot the graph of the problem. Find the extreme points algebraically. Determine the optimal solution and maximum profit.
Green Carpet Inc. produces and markets different products for lawn care. Two well known fertilizers are U-Smile and U-Golf. Each fertilizer is a blend of two raw materials known as R20 and R30. For the current production period, 900 kilograms of R20 and 400 kilograms of R30 are available. Each kilogram of U-Smile blends 0.6 kg of R20 and 0.4 kg of R30, whereas each kilogram of U-Golf uses 0.75 kg of R20 and 0.25 kg of R30. Due to restrictions on the availability of packaging material, production of U-Golf is restricted to a maximum of 500 kilograms. Profit per kilogram of both products is $5. (a) Formulate as a linear programming problem. (b) Plot the graph of the problem. Find the extreme points algebraically. Determine the optimal solution and maximum profit.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,