1. W 18 a developing country that has 13,000,000 acres or publicly controlled agricultural land in active use. Its government 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 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 each 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. Contribution pet 1.000 Aces of Crop rm 1 1 3 Goal Foreign capital $3.000 $5.000 $4,000 a 570 million Citizens fed 150 3'5 100 a 1.750.000 Citizens employed to 15 12 - 200.000 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 foreigncapital 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 and solve this problem as a linear programming model on a spreadsheet. (15 points)