Tooba Grocery sells two types of one-kilogram grape boxes: Gold and Silver. Each type of grape...
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Tooba Grocery sells two types of one-kilogram grape boxes: Gold and Silver. Each type of grape box consists of High and Low grade grapes. Gold box sells for $8/box and must consist of at least 70% high-grade grapes. Silver box sells for $6/box and must consist of not more than 60% high-grade grapes. At most, 300 Gold boxes and 500 Silver boxes can be sold. Tooba grocery can buy the grapes from two farmers. Each ton of grapes from farmer 1 costs $5000 and consists of 600 kilograms of high-grade and 400 kilograms of low-grade grapes. Each ton of grapes from farmer 2 costs $4000 and consists of 500 kilograms of high-grade and 500 kilograms of low-grade grapes. Formulate a linear programming problem using the decision variables defined below to maximize Tooba's profit. Label your constraints. Decision variables F1: number of tons of grapes purchased from Farmer 1 F2: number of tons of grapes purchased from Farmer 2 XHG: number of kilograms of high-grade grapes used in Gold box XLG: number of kilograms of low-grade grapes used in Gold box XHS: number of kilograms of high-grade grapes used in Silver box XLS: number of kilograms of low-grade grapes used in Silver box Tooba Grocery sells two types of one-kilogram grape boxes: Gold and Silver. Each type of grape box consists of High and Low grade grapes. Gold box sells for $8/box and must consist of at least 70% high-grade grapes. Silver box sells for $6/box and must consist of not more than 60% high-grade grapes. At most, 300 Gold boxes and 500 Silver boxes can be sold. Tooba grocery can buy the grapes from two farmers. Each ton of grapes from farmer 1 costs $5000 and consists of 600 kilograms of high-grade and 400 kilograms of low-grade grapes. Each ton of grapes from farmer 2 costs $4000 and consists of 500 kilograms of high-grade and 500 kilograms of low-grade grapes. Formulate a linear programming problem using the decision variables defined below to maximize Tooba's profit. Label your constraints. Decision variables F1: number of tons of grapes purchased from Farmer 1 F2: number of tons of grapes purchased from Farmer 2 XHG: number of kilograms of high-grade grapes used in Gold box XLG: number of kilograms of low-grade grapes used in Gold box XHS: number of kilograms of high-grade grapes used in Silver box XLS: number of kilograms of low-grade grapes used in Silver box
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Maximize Profit 8 Number of Gold Boxes 6 Number of Silv... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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