For this linear programming problem, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. Solve using simplex method. Max Z = 500x + 300y Subject to: 4x + 2y <= 60 (1st constraint) 2x + 4y <= 48 (2nd constraint) x, y >= 0 (non-negativity
For this linear programming problem, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. Solve using simplex method.
Max Z = 500x + 300y
Subject to:
4x + 2y <= 60 (1st constraint)
2x + 4y <= 48 (2nd constraint)
x, y >= 0 (non-negativity)
Problem: Rabbits in the laboratories used for drug testing have to be fed a daily diet for accurate results. The diet must contain a minimum of 24 grams of fat, 36 grams of carbohydrates, and 4 grams of proteins. The rabbits should be fed not more than five ounces of food per day. A laboratory technician blends food X and food Y to produce an optimal mixture. Food X contains 8 grams of fat, 12 grams of carbohydrates, and 2 grams of protein per ounce and costs ₽200 per ounce. Food Y contains 12 grams of fat, 12 grams of carbohydrates, and 1 gram of protein per ounce at a cost of ₽300 per ounce. What is the optimal blend to minimize the cost?
*additional note: philippine peso is used as currency :)*
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