Write the Linear Programming formulation for the following problem
Peg and Al Fundy have a limited food budget, so Peg is trying to feed the family as cheaply as possible. However, Peg still wants to make sure her family members meet their daily nutritional requirements. Peg can buy two foods. Food 1 sells for $7 per pound, and each pound contains 3 units of vitamin A and 1 unit of vitamin C. Food 2 sells for $1 per pound, and each pound contains 1 unit of each vitamin. Each day, the family needs at least 12 units of vitamin A and 6 units of vitamin C.
Formulate this problem as a LP problem to determine how much of each Food Peg should buy to meet the nutritional requirements at a minimum cost.