Blackjack Company is a local producer of Black shampoo. The company wants to determine the production mix that will yield the maximum profit. The production process takes 5 minutes to mix 1 case of men's shampoo and 10 minutes to mix 1 case of women's shampoo. This process is done for 100 minutes per day. It takes 7 minutes to bottle 1 case of men's shampoo and 7 minutes to bottle 1 case of women's shampoo. Eighty four minutes is consumed for the bottling process per day. It takes 9 minutes to pack 1 case of men's shampoo anf 5 minutes to pack 1 case of women's shampoo. The total number of minutes available for the packing process is 90 minutes. The company earns P60 for every case of men's shampoo and P80 for women's shampoo. You are required to peform these steps: Tabulate the data and statement variables. Formulate the objective function and constraints. Graph the objective functions by first converting the inequalities into equations. Then, find their intercepts. Maximize the objective function. Make the decision.
Blackjack Company is a local producer of Black shampoo. The company wants to determine the production mix that will yield the maximum profit. The production process takes 5 minutes to mix 1 case of men's shampoo and 10 minutes to mix 1 case of women's shampoo. This process is done for 100 minutes per day. It takes 7 minutes to bottle 1 case of men's shampoo and 7 minutes to bottle 1 case of women's shampoo. Eighty four minutes is consumed for the bottling process per day. It takes 9 minutes to pack 1 case of men's shampoo anf 5 minutes to pack 1 case of women's shampoo. The total number of minutes available for the packing process is 90 minutes. The company earns P60 for every case of men's shampoo and P80 for women's shampoo. You are required to peform these steps: Tabulate the data and statement variables. Formulate the objective function and constraints. Graph the objective functions by first converting the inequalities into equations. Then, find their intercepts. Maximize the objective function. Make the decision.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Blackjack Company is a local producer of Black shampoo. The company wants to determine the production mix that will yield the maximum profit. The production process takes 5 minutes to mix 1 case of men's shampoo and 10 minutes to mix 1 case of women's shampoo. This process is done for 100 minutes per day.
It takes 7 minutes to bottle 1 case of men's shampoo and 7 minutes to bottle 1 case of women's shampoo. Eighty four minutes is consumed for the bottling process per day.
It takes 9 minutes to pack 1 case of men's shampoo anf 5 minutes to pack 1 case of women's shampoo. The total number of minutes available for the packing process is 90 minutes.
The company earns P60 for every case of men's shampoo and P80 for women's shampoo. You are required to peform these steps:
- Tabulate the data and statement variables.
- Formulate the objective function and constraints.
- Graph the objective functions by first converting the inequalities into equations. Then, find their intercepts.
- Maximize the objective function.
- Make the decision.
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
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
