Question 2 The Mystic Coffee Shop blends coffee on the premises for its customers. It sells three basic blends in bulk on one-kilogram bags: Special, Mountain Dark, and Mill Regular. It uses four different types of coffee to produce the blends: Brazilian, mocha, Colomnian, and mild. The shop uses the following blend recipe requreiements: Blend Mix Requirements Special Dark Regular At least 40% Columbian, at least 30% mocha At least 60% Brazilian, no more than 10% mild No more than 60% mild, at least 30% Brazilian Selling price / kg $6.50 5.25 3.75 The cost of Brazilian coffee is $2.00 per kg, the cost of mocha is $2.75 per kg, the cost of Columbian is $2.90 per kg, and the cost of mild is $1.70 per kg. The shop has 110 kilograms of Brazilian coffee, 70 kilograms of mocha, 80 kilograms of Columbian, and 150 kilograms of mild coffee available per week. The shop wants to know the amount of each blend it should prepare each week to maximize profit. Formulate and solve a linear programming model for this problem.
Question 2 The Mystic Coffee Shop blends coffee on the premises for its customers. It sells three basic blends in bulk on one-kilogram bags: Special, Mountain Dark, and Mill Regular. It uses four different types of coffee to produce the blends: Brazilian, mocha, Colomnian, and mild. The shop uses the following blend recipe requreiements: Blend Mix Requirements Special Dark Regular At least 40% Columbian, at least 30% mocha At least 60% Brazilian, no more than 10% mild No more than 60% mild, at least 30% Brazilian Selling price / kg $6.50 5.25 3.75 The cost of Brazilian coffee is $2.00 per kg, the cost of mocha is $2.75 per kg, the cost of Columbian is $2.90 per kg, and the cost of mild is $1.70 per kg. The shop has 110 kilograms of Brazilian coffee, 70 kilograms of mocha, 80 kilograms of Columbian, and 150 kilograms of mild coffee available per week. The shop wants to know the amount of each blend it should prepare each week to maximize profit. Formulate and solve a linear programming model for this problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question 2
The Mystic Coffee Shop blends coffee on the premises for its customers. It sells three
basic blends in bulk on one-kilogram bags: Special, Mountain Dark, and Mill Regular.
It uses four different types of coffee to produce the blends: Brazilian, mocha,
Colomnian, and mild. The shop uses the following blend recipe requreiements:
Blend Mix Requirements
Special
Dark
Regular
At least 40% Columbian, at least 30% mocha
At least 60% Brazilian, no more than 10% mild
No more than 60% mild, at least 30% Brazilian
Selling price / kg
$6.50
5.25
3.75
The cost of Brazilian coffee is $2.00 per kg, the cost of mocha is $2.75 per kg, the cost
of Columbian is $2.90 per kg, and the cost of mild is $1.70 per kg. The shop has 110
kilograms of Brazilian coffee, 70 kilograms of mocha, 80 kilograms of Columbian,
and 150 kilograms of mild coffee available per week. The shop wants to know the
amount of each blend it should prepare each week to maximize profit.
Formulate and solve a linear programming model for this problem.
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