A firm offers three different prices on its products, depending upon the quantity purchased. Since available resources are limited, the firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $13 each for the firs- 65 units, $12 each for units 66-130, and $11 for each unit over 130. Product 2's profitability is $17 each for the first 40 units, $16 each f units 41-80, and $15 each for each unit over 80. The products each require 3 raw materials to produce (see table below for usages and available quantities). Product 1 usage (pounds per unit) 5 Available Quantity (pounds) 2,300 1,700 1,100 Product 2 usage (pounds per unit) Raw Material 7 7 15 15 Use separable programming to find the optimal production plan. (Leave no cells blank - be certain to enter "0" wherever required. Round the first two answers (units of Product 1 and 2) to the nearest whole number. Round the total profit answer to 2 decimal places and use unrounded unit quantities to compute it.)
A firm offers three different prices on its products, depending upon the quantity purchased. Since available resources are limited, the firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $13 each for the firs- 65 units, $12 each for units 66-130, and $11 for each unit over 130. Product 2's profitability is $17 each for the first 40 units, $16 each f units 41-80, and $15 each for each unit over 80. The products each require 3 raw materials to produce (see table below for usages and available quantities). Product 1 usage (pounds per unit) 5 Available Quantity (pounds) 2,300 1,700 1,100 Product 2 usage (pounds per unit) Raw Material 7 7 15 15 Use separable programming to find the optimal production plan. (Leave no cells blank - be certain to enter "0" wherever required. Round the first two answers (units of Product 1 and 2) to the nearest whole number. Round the total profit answer to 2 decimal places and use unrounded unit quantities to compute it.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
Non-linear programming
![A firm offers three different prices on its products, depending upon the quantity purchased. Since available resources are limited, the
firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $13 each for the first
65 units, $12 each for units 66–130, and $11 for each unit over 130. Product 2's profitability is $17 each for the first 40 units, $16 each for
units 41-80, and $15 each for each unit over 80. The products each require 3 raw materials to produce (see table below for usages
and available quantities).
Available Quantity
(pounds)
2,300
1,700
Product 1 usage (pounds
Product 2 usage (pounds
per unit)
Raw Material
per unit)
A
7.
15
15
1,100
Use separable programming to find the optimal production plan.
(Leave no cells blank - be certain to enter "O" wherever required. Round the first two answers (units of Product 1 and 2) to the
nearest whole number. Round the total profit answer to 2 decimal places and use unrounded unit quantities to compute it.)
units of Product 1 and
units of Product 2.
The total profit from this plan will be](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11e66ed2-8988-4a7b-b264-97a389788392%2F194526fd-2b26-42b5-990c-e09b73a86554%2Fb9i9qmi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A firm offers three different prices on its products, depending upon the quantity purchased. Since available resources are limited, the
firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $13 each for the first
65 units, $12 each for units 66–130, and $11 for each unit over 130. Product 2's profitability is $17 each for the first 40 units, $16 each for
units 41-80, and $15 each for each unit over 80. The products each require 3 raw materials to produce (see table below for usages
and available quantities).
Available Quantity
(pounds)
2,300
1,700
Product 1 usage (pounds
Product 2 usage (pounds
per unit)
Raw Material
per unit)
A
7.
15
15
1,100
Use separable programming to find the optimal production plan.
(Leave no cells blank - be certain to enter "O" wherever required. Round the first two answers (units of Product 1 and 2) to the
nearest whole number. Round the total profit answer to 2 decimal places and use unrounded unit quantities to compute it.)
units of Product 1 and
units of Product 2.
The total profit from this plan will be
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Practical Management Science](https://www.bartleby.com/isbn_cover_images/9781337406659/9781337406659_smallCoverImage.gif)
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
![Operations Management](https://www.bartleby.com/isbn_cover_images/9781259667473/9781259667473_smallCoverImage.gif)
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
![Operations and Supply Chain Management (Mcgraw-hi…](https://www.bartleby.com/isbn_cover_images/9781259666100/9781259666100_smallCoverImage.gif)
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
![Practical Management Science](https://www.bartleby.com/isbn_cover_images/9781337406659/9781337406659_smallCoverImage.gif)
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
![Operations Management](https://www.bartleby.com/isbn_cover_images/9781259667473/9781259667473_smallCoverImage.gif)
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
![Operations and Supply Chain Management (Mcgraw-hi…](https://www.bartleby.com/isbn_cover_images/9781259666100/9781259666100_smallCoverImage.gif)
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
![Business in Action](https://www.bartleby.com/isbn_cover_images/9780135198100/9780135198100_smallCoverImage.gif)
![Purchasing and Supply Chain Management](https://www.bartleby.com/isbn_cover_images/9781285869681/9781285869681_smallCoverImage.gif)
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
![Production and Operations Analysis, Seventh Editi…](https://www.bartleby.com/isbn_cover_images/9781478623069/9781478623069_smallCoverImage.gif)
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.