Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

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.

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

Step by Step Solution

3.32 Rating (152 Votes )

There are 3 Steps involved in it

Step: 1

Maximize Profit 8 Number of Gold Boxes 6 Number of Silv... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Income Tax Fundamentals 2013

Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill

31st Edition

1111972516, 978-1285586618, 1285586611, 978-1285613109, 978-1111972516

More Books

Students also viewed these General Management questions