Homework Help is Here – Start Your Trial Now!
Business
Operations Management
Cranberries can be harvested using either a "wet" method or "dry" method. Dry-harvested cranberries can be sold at a premium, while wet harvested cranberries are used mainly for cranberry juice and bring in less revenue. Fresh Made Cranberry Cooperative must decide how much of its cranberry crop should be harvested wet and how much should be dry harvested. Fresh Made has 4000 barrels of cranberries that can be harvested using either the wet or dry method. Dry cranberries are sold for $33.50 per barrel and wet cranberries are sold for $19.50 per barrel. Once harvested, cranberries must go through dechaffing and cleaning operations. The dechaffing and the cleaning operations can each be run 24 hours per day for the seasons about 6 weeks long (for a total of 1,008 hours). Each barrel of dry cranberries requires 0.21 hours in the dechaffing operation and 0.34 hours in the cleaning operation. Wet cranberries require 0.07 hours in the dechaffing operation and 0.10 hours in the cleaning operation. Wet cranberries must also go through a dry process. The drying process can also be operated 24 hours per day for the 6-week season, and each barrel of wet cranberries must be dried for 0.26 hours. a. Develop a linear program that Fresh Made can use to determine the optimal amount of cranberries to dry harvest and wet harvest. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer is zero. If the constant is "1" it must be entered in the box. Let W = barrels of cranberries harvested using wet method Let D = barrels of cranberries harvested using dry method Max s.t. w+ W+ W+ W+ W+ D DS DS DS DS W, D 20 Total Harvest Dechaffing Cleaning Drying

Cranberries can be harvested using either a "wet" method or "dry" method. Dry-harvested cranberries can be sold at a premium, while wet harvested cranberries are used mainly for cranberry juice and bring in less revenue. Fresh Made Cranberry Cooperative must decide how much of its cranberry crop should be harvested wet and how much should be dry harvested. Fresh Made has 4000 barrels of cranberries that can be harvested using either the wet or dry method. Dry cranberries are sold for $33.50 per barrel and wet cranberries are sold for $19.50 per barrel. Once harvested, cranberries must go through dechaffing and cleaning operations. The dechaffing and the cleaning operations can each be run 24 hours per day for the seasons about 6 weeks long (for a total of 1,008 hours). Each barrel of dry cranberries requires 0.21 hours in the dechaffing operation and 0.34 hours in the cleaning operation. Wet cranberries require 0.07 hours in the dechaffing operation and 0.10 hours in the cleaning operation. Wet cranberries must also go through a dry process. The drying process can also be operated 24 hours per day for the 6-week season, and each barrel of wet cranberries must be dried for 0.26 hours. a. Develop a linear program that Fresh Made can use to determine the optimal amount of cranberries to dry harvest and wet harvest. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer is zero. If the constant is "1" it must be entered in the box. Let W = barrels of cranberries harvested using wet method Let D = barrels of cranberries harvested using dry method Max s.t. w+ W+ W+ W+ W+ D DS DS DS DS W, D 20 Total Harvest Dechaffing Cleaning Drying

Practical Management Science
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...
See similar textbooks
icon
Related questions
Question
please help me to answer this all
Cranberries can be harvested using either a "wet" method or "dry" method. Dry-harvested cranberries can be sold at a premium, while wet harvested cranberries are used mainly for cranberry juice and bring in less revenue. Fresh Made Cranberry Cooperative must decide how much of its cranberry crop should be harvested wet and how much should be dry harvested. Fresh Made has 4000 barrels of cranberries that can be harvested using either the wet or dry method. Dry cranberries are sold for $33.50 per barrel and wet cranberries are sold for $19.50 per barrel. Once harvested, cranberries must go through dechaffing and cleaning operations. The dechaffing and the cleaning operations can each be run 24 hours per day for the seasons about 6 weeks long (for a total of 1,008 hours). Each barrel of dry cranberries requires 0.21 hours in the dechaffing operation and 0.34 hours in the cleaning operation. Wet cranberries require 0.07 hours in the dechaffing operation and 0.10 hours in the cleaning operation. Wet cranberries must also go through a dry process. The drying process can also be operated 24 hours per day for the 6-week season, and each barrel of wet cranberries must be dried for 0.26 hours. a. Develop a linear program that Fresh Made can use to determine the optimal amount of cranberries to dry harvest and wet harvest. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer is zero. If the constant is "1" it must be entered in the box. Let W = barrels of cranberries harvested using wet method Let D = barrels of cranberries harvested using dry method Max s.t. W+ w+ W+ W+ W+ p DS DS DS W, D 20 Total Harvest Dechaffing Cleaning Drying
Transcribed Image Text:Cranberries can be harvested using either a "wet" method or "dry" method. Dry-harvested cranberries can be sold at a premium, while wet harvested cranberries are used mainly for cranberry juice and bring in less revenue. Fresh Made Cranberry Cooperative must decide how much of its cranberry crop should be harvested wet and how much should be dry harvested. Fresh Made has 4000 barrels of cranberries that can be harvested using either the wet or dry method. Dry cranberries are sold for $33.50 per barrel and wet cranberries are sold for $19.50 per barrel. Once harvested, cranberries must go through dechaffing and cleaning operations. The dechaffing and the cleaning operations can each be run 24 hours per day for the seasons about 6 weeks long (for a total of 1,008 hours). Each barrel of dry cranberries requires 0.21 hours in the dechaffing operation and 0.34 hours in the cleaning operation. Wet cranberries require 0.07 hours in the dechaffing operation and 0.10 hours in the cleaning operation. Wet cranberries must also go through a dry process. The drying process can also be operated 24 hours per day for the 6-week season, and each barrel of wet cranberries must be dried for 0.26 hours. a. Develop a linear program that Fresh Made can use to determine the optimal amount of cranberries to dry harvest and wet harvest. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer is zero. If the constant is "1" it must be entered in the box. Let W = barrels of cranberries harvested using wet method Let D = barrels of cranberries harvested using dry method Max s.t. W+ w+ W+ W+ W+ p DS DS DS W, D 20 Total Harvest Dechaffing Cleaning Drying
b. Solve a linear program in part (a). How many barrels should be dry harvested? How many barrels should be wet harvested? Round your answers to two decimal places. W D Optimal Solution: c. Suppose that Fresh Made can increase its dechaffing capacity by using an outside firm for this operation. Fresh Made will still use its own dechaffing operation as much as possible, but it can purchase additional capacity from this outside firm for $500 per hour. Should Fresh Made purchase additional dechaffing capacity? If required, round your answer to three decimal places. Fresh Made should should not The dechaffing (Constraint 2) Why or why purchase additional dechaffing capacity. a binding constraint because only of the 1,008 available hours are being used. d. Interpret the dual value for the constraint corresponding to the cleaning operation. How would you explain the meaning of this dual value to management? If required, round your answers to two decimal places. Assuming everything else remains unchanged, each additional hour of cleaning capacity (Constraint 3) added (subtracted) from the 1,008 available hours increases (decreases) revenues $ based on the Dual Values shown here. This is true for any cleaning capacity value between and
Transcribed Image Text:b. Solve a linear program in part (a). How many barrels should be dry harvested? How many barrels should be wet harvested? Round your answers to two decimal places. W D Optimal Solution: c. Suppose that Fresh Made can increase its dechaffing capacity by using an outside firm for this operation. Fresh Made will still use its own dechaffing operation as much as possible, but it can purchase additional capacity from this outside firm for $500 per hour. Should Fresh Made purchase additional dechaffing capacity? If required, round your answer to three decimal places. Fresh Made should should not The dechaffing (Constraint 2) Why or why purchase additional dechaffing capacity. a binding constraint because only of the 1,008 available hours are being used. d. Interpret the dual value for the constraint corresponding to the cleaning operation. How would you explain the meaning of this dual value to management? If required, round your answers to two decimal places. Assuming everything else remains unchanged, each additional hour of cleaning capacity (Constraint 3) added (subtracted) from the 1,008 available hours increases (decreases) revenues $ based on the Dual Values shown here. This is true for any cleaning capacity value between and
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
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
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
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…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.
SEE MORE TEXTBOOKS