Exercise 7 Linear Programming: An ice cream factory produces 2 mixes of ice cream everyday: Regular and Special which uses 2 ingredients X and Y. Each liter of Regular contains 2 grams of ingredient X and 1 gram of ingredient Y, while each liter of Special contains 1 gram of ingredient X and 2 grams of ingredient Y. The profit of each liter of Regular is P10.00 and the profit of each liter of Special is P 12.00. If the factory has 50 grams of ingredient X and 70 grams of ingredient Y available each day, how many liters of each mixes of ice cream should be made everyday to maximize the profit? 1. Identify the variables. 2. Set up the objective function. 3. Give the constraints in mathematical expression. 4. Graph the constraints and identify the solution. 5. How many units of each product should be produced daily in order to maximize the company's profit? 6. What is that maximum profit daily?

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