Cranberries can be harvested using either a "wet" method or a "dry" method. Dry-harvested cranberries can be sold at a premium, while wet-harvested cranberries are used mainly for cranbery Juice and bring in less revenue. Fresh Made Cranberry Cooperative must decide how much of its canbery crop should be harpested wet and how much should be dry harvested. fresh Made has 5,000 barres of cranberries that can be harvested using either the wet or dry method. Dry cranberries are sold for $34.50 per barrel and wet cranberries are sold for $15.50 per barrel. Once havested, cranberises must be processed through several operations before they can be sold. Both wet and dry cranberries must go through dechatfing and cleaning opentions. The dechaffing and the cleaning operations can each be run 24 hours per day for the 6 -week season (for a total of 1,008 hours). Each barrel of dry cranberries requires 0.18 hours in the dechaffing operation and 0.32 hours in the cleaning eperation. Wet cranberries require 0.04 hours in the dechaffing operation and 0.10 hours in the cleaning operation. Wet cranberries must also go threugh a drying 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 0.22 hours. (a) Develop a linear program that Fresh Made can use to determine the eptimal amount of cranberries to dry harvest and wet harvest. (Let W= barrels of cranberries harvested using wet method and D= barrels of cranberies harvested using dry method, ) Max s.t. total harvest dechaffing cleaning aryingw,D0 x (b) Solve the linear program in part (a). How many barress should be dry harvested? How many barrels should be wet harvested? (Round your answers to the nearest integer) wetdryxbarrelsxbarrels (c) Suppose that Fresh Made can increase its dechaffing capocty by using an outside firm for this operation. Fresh Made will stil use its own dechating operation as much as possible, but at can purchase additionar capaity from this eutside firm for $500 per hour 5 Should Fresh Made purchave additional dechaffing capacty? Why or why net? There are about 416 hours of dechaffing copocity which are not being used, so additional capacity is not necessary. Each addiional hour of dechatfing wil only improve revenue by about $416. At $500 per hour it would not be profitable to purchase additional hours. Each additional hour of dechalfing will only improve revenue by about $485. At $500 per hour it would not be profitabie to purchase additional hours. There are about 485 hours of dechaffing copocity which are not being used, so additional capacity is not necessary. x (d) Interpret the dual value for the constraint corresponding to the cleaning tperaticn. How wauld you explain the meaning of this dual value to management? Each additional hour of cleaning capacty increases revenues $484.72. This is true for any deaning capacity value greater than or equal to 523 . Each additional hour of cleaning capocty incresses revenues $416.00. This is true for any cleaning capacity value between 592 and 1,600 . Each additional hour of cleaning capacity increases revenues $6.86. This is true for any cleaning capacity value greater than or equal to 523 . Each addtional hour of cleaning capacity incresses revenues s.5.36. This is true for any cleaning capacity value between 592 and 1,600