A Gardener cultivates tomatoes, peppers, and carrots on his 600 acres of land. He wants to decide how much land to allocate to each crop. The gardener knows that at least 100 T of tomatoes and 120 T of peppers are needed for food processing. These quantities can either be grown on the farm or purchased from a wholesaler. Any production exceeding the processing requirement would be sold. Another profitable crop is carrots, which he anticipates selling at $110/T. However, a regulatory body imposes a quota on carrot production. Any amount surpassing the quota can only be sold at $65/T. The gardeners quota for the upcoming year is 7500 T. The required amounts of tomatoes and peppers, along with other problem information are given in the following table. Tomatoes Peppers Carrots Mean yield (T/acres) 3 2.5 15 Planting cost ($/acre) 100 200 300 Purchase price ($/T) 240 230 - Selling price ($/T) 170 150 110 under 7500 65 above 7500 Minimum requirement (T) 100 120 - Total available land: 600 acres Formulate the problem as an LP model using the following decision variables. (5 Points) X1 = acres of land devoted to tomatoes, X2 = acres of land devoted to peppers, X3 = acres of land devoted to carrots, W1= tons of tomatoes sold, Y1= tons of tomatoes purchased, W2= tons of peppers sold, Y2= tons of peppers purchased, W3= tons of carrots sold at the favorable price, W4= tons of carrots sold at the lower price