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please asap, preemptive goal programming Montega is a developing country that has 15,000,000 acres of publicly controlled agricultural land in active use. Its government currently
please asap, preemptive goal programming
Montega is a developing country that has 15,000,000 acres of 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. The unemployment rate in Montega is rising and the shortage of foreign capital is becoming a more serious problem. Therefore, the Montega government now has decided that it needs to place higher priority on increasing employment and increasing foreign capital than on its other goals. Specifically, it has established the following order of priorities for its goals. Priority 1: Citizens employed at least 200,000 Priority 2: Foreign capital no less than $70 million Priority 3: Citizens fed at least 1,750,000 Priority 4: Citizens employed at most 200,000 a) Formulate a preemptive goal programming problem to determine how the government should allocate the publicly controlled agricultural land to the three basic crops. b) Government has determined a penalty of $5 for each employee below the goal of 200,000 citizens employed. There is a penalty of $1 for each dollar below the goal of foreign investment, and $1 for each citizen below the goal of citizens fed. There is no penalty for employing more than 200,000 citizens. Formulate a goal programming problem with penalties to determine how the government should allocate the publicly controlled agricultural land to the three basic crops. Montega is a developing country that has 15,000,000 acres of 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. The unemployment rate in Montega is rising and the shortage of foreign capital is becoming a more serious problem. Therefore, the Montega government now has decided that it needs to place higher priority on increasing employment and increasing foreign capital than on its other goals. Specifically, it has established the following order of priorities for its goals. Priority 1: Citizens employed at least 200,000 Priority 2: Foreign capital no less than $70 million Priority 3: Citizens fed at least 1,750,000 Priority 4: Citizens employed at most 200,000 a) Formulate a preemptive goal programming problem to determine how the government should allocate the publicly controlled agricultural land to the three basic crops. b) Government has determined a penalty of $5 for each employee below the goal of 200,000 citizens employed. There is a penalty of $1 for each dollar below the goal of foreign investment, and $1 for each citizen below the goal of citizens fed. There is no penalty for employing more than 200,000 citizens. Formulate a goal programming problem with penalties to determine how the government should allocate the publicly controlled agricultural land to the three basic crops
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