The maximum production of a soft- drink bottling company is 5000 cartons per day. The company produces regular and diet drinks and must make at least 600 cartons of regular and 1000 diet cartons per day. Production costs are $1.00 per carton of regular and $1.20 per carton of diet. The daily operating budget is $5400. How many cartons of each type of drink should be produced if the profit is $0.10 per regular and $0.11 per diet.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
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The maximum production of a soft- drink bottling company is 5000 cartons per day. The company produces regular and diet drinks and must make at least 600 cartons of regular and 1000 diet cartons per day. Production costs are $1.00 per carton of regular and $1.20 per carton of diet. The daily operating budget is $5400. How many cartons of each type of drink should be produced if the profit is $0.10 per regular and $0.11 per diet. 

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How, if at all, do the maximum profit and optimal bottling policy change if the company has no minimum required production? 

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