5. please answer a-c, thank you!

5. A farmer has subdivided his land into three plots and wants to plant three crops in each plot: corn, rice, and soy. Plot size, crop acreage, profit per acre, and minimum manure needed (pounds per acre) are given in the following table: 1200 1300 Maximum Profit Minimum Manure Plot Acreage Crop Acreage Per Acre Per Acre (pounds) A 900 Corn 900 $750 300 B Rice $850 450 c 1000 Soy 1000 $800 250 The maximum acreage for each crop denotes the total acres of that crop that can be planted over all three plots. Currently there are 450,000 pounds of manure available but the farm can get however much extra mamire required if the solution so demands. Formulate and solve a LP model to determine how much of each crop should be planted to maximize total profit. For full credit you must do the following: (a) Write the LP model - the decision variables, the Objective Function, and constraints for the problem in the space below. (b) Use Excel to find the solution. (c) Report here the solution - values of the variables and the Objective Function - found in 5b