1) Walnut Orchard has three farms that grow wheat and corn. Because of differing soil conditions, there are differences in yields and costs of growing crops on the three farms (see Table 1). Corn yield/acre Cost/acre of corn Wheat yield / acre Cost/ acre of wheat Acres available Farm 1 500 bushels $800 350 bushels $1000 100 Table 1 Farm 2 650 bushels $920 400 bushels $900 120 Farm 3 450 bushels $700 375 bushels $800 90 In addition, each crop will generate the revenue and require fertilizer and insecticide applications in the amounts shown in Table 2. Formulate a linear programming problem to help determine a planting plan that will maximize Walnut Orchard's profit from the three farms. Supply Corn Revenue per bushel $4 Fertilizer (lbs. / acre) 10 Insecticide (gal. / acre) 50 Minimum desired yield (bushels) 65,000 Table 2 Wheat 7$ 12 35 40,000 3,000 lbs. 9,000 gal. Specify the input data, decision variables, objective function, and constraints