A large institution is preparing lunch menus containing foods A and B. Food A contains the follower per ounce: 1 units of fat, 2 units of carbohydrates, and 1 unit of protein. Food B has 1 unit of fat, 1 unit of carbohydrates, and 1 unit of protein per ounce. Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. Write the objective function and constraints. Give the domain and range.

Question

A large institution is preparing lunch menus containing foods A and B.  Food A contains the follower per ounce: 1 units of fat, 2 units of carbohydrates, and 1 unit of protein.  Food B has 1 unit of fat, 1 unit of carbohydrates, and 1 unit of protein per ounce.  Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates.  The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce.  Write the objective function and constraints.  Give the domain and range.