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
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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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