A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per unit of the Iowa corn is $5.75 and the price per unit of the Illinois corn is $6.25. a. Draw a diagram to show the flow of corn and the flow of dollars between the suppliers and the manufacturer. b. Define variables that would tell how many units to purchase from each source. c. Develop an objective function that would minimize the total cost. d. Develop constraints for the following conditions: i. The manufacturer needs at least 12,500 units of corn. ii. The Iowa cooperative can supply up to 7800 units iii. The Illinois cooperative must supply at least 6200 units