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.

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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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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