Selling Price/lb $6.50 Blend Mix Requirements Special At least 40% Colombian, at least 30% mocha Dark At least 60% Brazilian, 5.25 no more than 10% mild Regular No more than 60% mild, 3.75 at least 30% Brazilian

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 68P
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The Mystic Coffee Shop blends coffee on the premises forits customers. It sells three basic blends in one-pound bags:Special, Mountain Dark, and Mill Regular. It uses four dif-ferent types of coffee to produce the blends: Brazilian,mocha, Colombian, and mild. The shop used the followingblend recipe requirements:The cost of Brazilian coffee is $2.00 per pound, the cost ofmocha is $2.75 per pound, the cost of Colombian is $2.90per pound, and the cost of mild is $1.70 per pound. Theshop has 110 pounds of Brazilian coffee, 70 pounds ofmocha, 80 pounds of Colombian, and 150 pounds of mildcoffee available per week. The shop wants to know theamount of each blend it should prepare each week in orderto maximize profit.Formulate and solve a linear programming model forthis problem.

Selling Price/lb
$6.50
Blend
Mix Requirements
Special
At least 40% Colombian,
at least 30% mocha
Dark
At least 60% Brazilian,
5.25
no more than 10% mild
Regular
No more than 60% mild,
3.75
at least 30% Brazilian
Transcribed Image Text:Selling Price/lb $6.50 Blend Mix Requirements Special At least 40% Colombian, at least 30% mocha Dark At least 60% Brazilian, 5.25 no more than 10% mild Regular No more than 60% mild, 3.75 at least 30% Brazilian
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