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
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section11.4: Marketing Models
Problem 30P: Seas Beginning sells clothing by mail order. An important question is when to strike a customer from...
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