Here is the LP model that needs to be formulated. I will solve it using myself.

The objective for this computer project is to formulate two LP models properly, solve these problems using LINDO, generate LINDO output reports and discuss the results from these output reports in great detail in the form of a nal report. Be sure to discuss what each x variable represents, how many of each will be needed to optimize the problem (via a maximization for #1 and minimization for #2 of the objective function). Determine what each Z value is and discuss the sensitivity portion (i.e., right-hand side (b) ranges and objective coefcient (c) ranges). Problem #1 A farmer has 400 acres and 20,000 man-hours available. The farmer wishes to determine the acreage allocated to the following products: carrots, grain, squash, cucumbers, and spinach. The farmer must produce at least 300 tons of carrots to feed his hogs and cattle, and he must produce at least 100 tons of grain. The tonnage and labor in man-hours per acre of different products are summarized in the following table. 20 8 8 16 12 135 160 110 90 125 The carrots, grain, squash, cucumbers, and spinach can be sold for $130.00, $160.00, $70.00, $90.00, and $65.00 per ton. Formulate the LP model to nd the maximum optimal solution. LINDO File Sample Format: ! Objective Function MAX 10X1 + 20X2 + 30X3 ! Constraints SUBJECT TO -3X1 + 5X2 - 7X3 =0 X2>=0 X3 >= 0