1. A snack food manufacturer buys com for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per unit of the Iowa corn is $6.25 and the price per unit of the Illinois com is $7.50. 1. Define variables that would tell how many units to purchase from each source. 2. Develop an objective function that would minimize the total cost. 3. The manufacturer needs at least 15,000 units of corn. The Iowa cooperative can supply up to 10,000 units, and the Illinois cooperative can supply at least 7,500 units. Develop constraints for these conditions. 2. There is a fixed cost of $60,000 to start a production process. Once the process has begun, the variable cost per unit is $35. The revenue per unit is projected to be $50. 1. Write an expression for total cost. 2. Write an expression for total revenue. 3. Write an expression for total profit. 4. Find the break-even point. 3. Organizers of an Internet training session will charge participants $125 to attend. It costs $3000 to reserve the room, hire the instructor, bring in the equipment, and advertise. Assume it costs $30 per student for the organizers to provide the course materials. 1. Write an expression for total cost. 2. Write an expression for total revenue. 3. Write an expression for total profit. 4. Find the break-even point