15. Montega is a developing country that has 15,, acres of publicly controlled agricultural land in active use. Its govermnent currently is planning a way to divide this land among three basic 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 each of these crops is used to feed the populace. Raising these crops also provides employment for a signicant 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 each LDDD acres of each crop contributes toward these factors, and the last column gives the goal established by the government for each of these factors. m pit 1mm at an Mill" 1 I I ll my: m 53.000 55.000 $1.1m i m Kilian Cilia!\" 15!} ?5 10E! is 1.7501\") (\"uid lit 15 11 - mm In evaluating the relative seriousness of not achieving these goals, the govermnent has concluded that the following deviations from the goals should be considered equally undesirable: {1) each $1 under the foreign-capital goal, {2) each person under the citizens-fed goal, and {3) each deviation of one (in either direction) 'om the citizens-employed goal. :1. Describe why this problem is a weighted goal-programming problem by giving quantitative expressions for the goals and the overall objective. E\" b. Formulate and solve this problem as a linear programming model on a spreadsheet. c. Interpret this solution to management in its language