This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs P50 per kg to purchase Food A and P/0 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture. a. Define the decision variables (1 point) b. Write the LP model (3 points) c. Determine the feasible region (2 points) d. Determine the optimal solution (2 points) e. Final answer: (interpret the result) (2 points)