Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A linear programming computer package is needed, Homans Food Market, located in Saratoga, New York, cames a variety of specialty foods from around the world.

image text in transcribed
A linear programming computer package is needed, Homans Food Market, located in Saratoga, New York, cames a variety of specialty foods from around the world. Two of the store's leading products use the Romans Food Market name: Romans Regular Coffee and Romans Decaf Coffee. These coffers are blends of Beerinan Natural and Colombian Mild coffee beans, which are purchased from a distributor located in how York Chy, Because Romans purchases large quantities the coffee beans may be purchased on an as-needed basis for a price 10% higher than the market price the distributor pays for the beans, The current marce price is 50:47 per pound for Branthan Natural and 10.62 per pound for Colombian Mild. The compositions of each coffee blend are as follows. Blend Bean Regular DeCat Brazilian Natural Colombian Mad 254 Romans sells the Regular blend for $3:60 per pound and the DeCaf blend for $4:40 per pound. Romans would like to place in order for the Brazilian and Colombian coffee beans that will enable the production of 800 pounds of Romans Regular coffee and 300 pounds of Romans Decaf coffee. The production cost is $0:80 per pound for the Regular Blend. Because of the extra steps required to produce DeCat, the production cost for the DeCaf blend is $1.05 per pound, Packaging costs for both products are $0.25 per pound, Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit. (Let AR = pounds of Brazilian beans purchased to produce Regular AD . pounds of Brazilian beans purchased to produce DeCal, CR = pounds of Colombian beans purchased to produce Regular, and CD = pounds of Colombian beans purchased to produce Decaf} Regular So constraint Decaf M constraint Pounds of Regular Pounds of Decaf What is the optimal solution and what is the contribution to profit (In $)7 (Round your contribution to profit to two decimal places.) (BR, BD, CR, CD) = Profit - $

Step by Step Solution

There are 3 Steps involved in it

Step: 1

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_2

Step: 3

blur-text-image_3

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

Graphical Approach To College Algebra

Authors: John E Hornsby, Margaret L Lial, Gary K Rockswold

6th Edition

0321900766, 9780321900760

More Books

Students also viewed these Mathematics questions

Question

What is Appraisal Methods? L01

Answered: 1 week ago