An Electronic component manufacturing company produces two electronic components, A and B, which require different amounts of machine time and labor. The profit per unit of component A is Gh¢10 and of component B is Gh¢15. The machine time required per unit of component A is 2 hours and of component B is 3 hours. The labor time required per unit of component A is 2 hour and of component B is 1 hours. The company has 240 hours of machine time and 160 hours of labor time available per week. Formulate a linear programming model for this problem. Transform the model formulated in (a) into a standard form. Solve the model formulated in (a), by using graphical method indicating the optimal solution and objective function value. Do you think there are any resources left over and not used at the feasible solution points? Explain by calculating the slack at each point
An Electronic component manufacturing company produces two electronic components, A and B, which require different amounts of machine time and labor. The profit per unit of component A is Gh¢10 and of component B is Gh¢15. The machine time required per unit of component A is 2 hours and of component B is 3 hours. The labor time required per unit of component A is 2 hour and of component B is 1 hours. The company has 240 hours of machine time and 160 hours of labor time available per week. Formulate a linear programming model for this problem. Transform the model formulated in (a) into a standard form. Solve the model formulated in (a), by using graphical method indicating the optimal solution and objective function value. Do you think there are any resources left over and not used at the feasible solution points? Explain by calculating the slack at each point
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
An Electronic component manufacturing company produces two electronic components, A and B, which require different amounts of machine time and labor. The profit per unit of component A is Gh¢10 and of component B is Gh¢15. The machine time required per unit of component A is 2 hours and of component B is 3 hours. The labor time required per unit of component A is 2 hour and of component B is 1 hours. The company has 240 hours of machine time and 160 hours of labor time available per week.
- Formulate a linear programming model for this problem.
- Transform the model formulated in (a) into a standard form.
- Solve the model formulated in (a), by using graphical method
indicating the optimal solution and objective function value.
- Do you think there are any resources left over and not used at the
feasible solution points? Explain by calculating the slack at each point
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
Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning