Sofia needs at least 50 units of fat, 48 units of protein and 60 units of carbohydrates each month. From each kilogram of Food A, she receives 5 units of fat, 2 of protein and 4 of carbohydrates. Food B contains 2 units of fat, 3 of protein and 3 of carbohydrates per kilogram. If Food A costs P110 and Food B costs P90 per kilogram, how many kilograms of each food should Sofia buy each month to keep costs at a minimum? a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
Sofia needs at least 50 units of fat, 48 units of protein and 60 units of carbohydrates each month. From each kilogram of Food A, she receives 5 units of fat, 2 of protein and 4 of carbohydrates. Food B contains 2 units of fat, 3 of protein and 3 of carbohydrates per kilogram. If Food A costs P110 and Food B costs P90 per kilogram, how many kilograms of each food should Sofia buy each month to keep costs at a minimum? a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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Sofia needs at least 50 units of fat, 48 units of protein and 60 units of carbohydrates each month. From each kilogram of Food A, she receives 5 units of fat, 2 of protein and 4 of carbohydrates. Food B contains 2 units of fat, 3 of protein and 3 of carbohydrates per kilogram. If Food A costs P110 and Food B costs P90 per kilogram, how many kilograms of each food should Sofia buy each month to keep costs at a minimum?
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.
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