PROBLEM 1. Montega is a developing country with 15,000,000 acres of publicly controlled agricultural Iand in active use. Its government plans to divide this land among three essential crops (labeled 1, 2, and 3) next year. A certain percentage of each of these crops is exported to obtain badly needed foreign capital (dollars), and the rest of these crops are used to feed the populace. Raising these crops also employs a significant proportion of the population. Therefore, the main factors to be considered in allocating the land to these crops are (1) the amount of foreign capital generated, (2) the number of citizens fed, and (3) the number of citizens employed in raising these crops. The following table shows how much every 1,000 acres of each crop contributes toward these factors, and the last column gives the goal established by the government for each of these factors. In evaluating the relative seriousness of not achieving these goals, the government has concluded that the following deviations from the goals should be considered equally undesirable: (1) each $100 under the foreign-capital goal, (2) each person under the citizens-fed goal, and (3) each deviation of one (in either direction) from the citizens-employed goal. (a) Formulate a goal programming model. (b) Reformulate this model as a linear programming model. (c) Use the simplex method to solve this model (Use Solver in Excel)