Amazing Dairy produces yogurt, sour cream, kefir, and cottage cheese in 10 pound containers for the food service industry. Each product is made in 10 pound batches and requires similar processing through three machines. Details on Amazing Dairy’s product line, including the processing time in minutes at each machine, follows. Amazing Dairy has 2,400 minutes of processing time available for each machine each week. Develop a linear program that maximizes total revenue.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Amazing Dairy produces yogurt, sour cream, kefir, and
cottage cheese in 10 pound containers for the food service
industry. Each product is made in 10 pound batches and
requires similar processing through three machines. Details
on Amazing Dairy’s product line, including the processing
time in minutes at each machine, follows.

Amazing Dairy has 2,400 minutes of processing time
available for each machine each week. Develop a linear
program that maximizes total revenue.

Cottage
Yogurt
Sour Cream
Kefir
Cheese
Price per
$1.50
$2.00
$3.50
$1.25
pound
Weekly
200 lbs.
350 Ibs.
50 Ibs.
150 Ibs.
demand
Processing
15 minutes
10 minutes
15 minutes
5 minutes
per 10 lb.
batch
per 10 lb.
batch
per 10 lb.
batch
per 10 lb.
batch
Time at
Machine 1
Processing
25 minutes
10 minutes
15 minutes
5 minutes
per 10 lb.
batch
per 10 Ib.
batch
per 10 lb.
batch
Time at
per 10 lb.
Machine 2
batch
Processing
5 minutes
15 minutes
30 minutes
20 minutes
per 10 lb.
batch
per 10 lb.
batch
per 10 lb.
batch
per 10 lb.
batch
Time at
Machine 3
Transcribed Image Text:Cottage Yogurt Sour Cream Kefir Cheese Price per $1.50 $2.00 $3.50 $1.25 pound Weekly 200 lbs. 350 Ibs. 50 Ibs. 150 Ibs. demand Processing 15 minutes 10 minutes 15 minutes 5 minutes per 10 lb. batch per 10 lb. batch per 10 lb. batch per 10 lb. batch Time at Machine 1 Processing 25 minutes 10 minutes 15 minutes 5 minutes per 10 lb. batch per 10 Ib. batch per 10 lb. batch Time at per 10 lb. Machine 2 batch Processing 5 minutes 15 minutes 30 minutes 20 minutes per 10 lb. batch per 10 lb. batch per 10 lb. batch per 10 lb. batch Time at Machine 3
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