Solve for the following Linear Programming problems. Your solutions should include:

1. Objective Function
2. Constraints
3. Graph complete with labels of points and lines, and shaded feasible region
4. Corner point approach
5. Optimal solution
6. Maximum profit

Problem 1: In 1969, the two leading dietary drinks available in the market are Bandade and Firstade. These drinks supply protein and carbohydrates lost during physical activity. Bandade provides 1 unit of protein and 3 units of carbohydrates in each liter. Firstade supplies 2 units of protein and 2 units of carbohydrates in each liter. Bandade costs Php 2.00, and Firstade costs Php 3.00. An athlete requires 3 units of protein and 5 units of carbohydrates. Find the amount of each drink the athlete should consume to minimize the cost and still meet the minimum dietary requirements.

Problem 2: A chicken farmer uses a mixture of two chicken feeds: Alpo and Pedigree. Each pack of Alpo contains 12g of protein, 2g of fat, and 16g of carbohydrates. Each pack of Pedigree contains 6g of protein, 1g of fat, and 18g of carbohydrates. Alpo costs Php 14.00 per pack, while Pedigree costs Php 10.00 per pack. The chicken farmer must buy chicken feeds that have at least 60g of protein, 8g of fat, and at most 180g of carbohydrates. Determine the number of ounces of Alpo and Pedigree that will produces a mixture satisfying the given restrictions at minimum cost

*minimize profit, not maximized

*minimum profit, not maximum