Read the information below and construct the objective function, and the associated constraint inequalities. DO NOT SOLVE THE MINIMUM PROBLEM. The liquid portion of a diet is to provide at least 380 calories, at least 80 units of vitamin A, and at least 140 units of vitamin C daily. A cup of dietary drink X provides 50 calories, 20 units of vitamin A, and 30 units of vitamin C. A cup of dietary drink Y provides 40 calories, 30 units of vitamin A, and 90 units of vitamin C. Dietary drink X costs $0.24 per cup and drink Y costs $0.31 per cup. Construct the objective function for minimizing the cost, and construct the associated constraint inequalities to meet the daily dietary requirements by selecting the appropriate symbol or number from the dropdown list. Note: The symbol <= in the dropdown list indicates "less than or equal to", and the symbol >= in the dropdown list indicates "greater than or equal to". X+ [Select] Cost: [Select] [Select] 20X+ [Select] Select] X+ 40Y [Select] V Y [Select] X + 90Y [Select] Y 380 80 140

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 43E: Agriculture A fruit grower raises crops A and B. The yield is 300 bushels per acre for crop A and...
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Read the information below and construct the objective function, and the associated constraint
inequalities. DO NOT SOLVE THE MINIMUM PROBLEM.
The liquid portion of a diet is to provide at least 380 calories, at least 80 units of vitamin A, and
at least 140 units of vitamin C daily. A cup of dietary drink X provides 50 calories, 20 units
of vitamin A, and 30 units of vitamin C. A cup of dietary drink Y provides 40 calories, 30
units of vitamin A, and 90 units of vitamin C. Dietary drink X costs $0.24 per cup and drink
Y costs $0.31 per cup.
Construct the objective function for minimizing the cost, and construct the associated constraint
inequalities to meet the daily dietary requirements by selecting the appropriate symbol or number
from the dropdown list.
Note: The symbol <= in the dropdown list indicates "less than or equal to", and the symbol >= in
the dropdown list indicates "greater than or equal to".
Cost
=
[Select]
[Select]
20X+ [Select]
[Select]
X+ [Select ]
X + 40Y [Select]
✓Y [Select]
X + 90Y [Select]
✓ Y
✓380
80
140
Transcribed Image Text:Read the information below and construct the objective function, and the associated constraint inequalities. DO NOT SOLVE THE MINIMUM PROBLEM. The liquid portion of a diet is to provide at least 380 calories, at least 80 units of vitamin A, and at least 140 units of vitamin C daily. A cup of dietary drink X provides 50 calories, 20 units of vitamin A, and 30 units of vitamin C. A cup of dietary drink Y provides 40 calories, 30 units of vitamin A, and 90 units of vitamin C. Dietary drink X costs $0.24 per cup and drink Y costs $0.31 per cup. Construct the objective function for minimizing the cost, and construct the associated constraint inequalities to meet the daily dietary requirements by selecting the appropriate symbol or number from the dropdown list. Note: The symbol <= in the dropdown list indicates "less than or equal to", and the symbol >= in the dropdown list indicates "greater than or equal to". Cost = [Select] [Select] 20X+ [Select] [Select] X+ [Select ] X + 40Y [Select] ✓Y [Select] X + 90Y [Select] ✓ Y ✓380 80 140
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