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2) A community farm has 4000 square kilometers of land available to plant wheat (X) and millet (M). Each kilometer square of wheat requires 10 gallons of fertilizer and insecticide and 1 hour of labor to harvest. Each square kilometer of millet requires 4 gallons of fertilizer and insecticide and 2 hour of labor to harvest. The community has at most 30,000 gallons of fertility and Insecticide and at most 5000 hours of labor for harvesting. If the profits per square kilometer are $60 for wheat and $40 for millet, how many square kilometers of each crop should the community plant in order to maximize profits? What is the maximum profit? Hint: x Is the number of square kilometers of wheat and y is the number of square kilometers of millet. There are three constraints and one is redundant. Constraints Fertilizer and insecticide Labor Profit Wheat (X) 10 1 $60 a) Specify the linear program Millet (V) 4 2 $40 Maximum requirements 000 5,000

2) A community farm has 4000 square kilometers of land available to plant wheat (X) and millet (M). Each kilometer square of wheat requires 10 gallons of fertilizer and insecticide and 1 hour of labor to harvest. Each square kilometer of millet requires 4 gallons of fertilizer and insecticide and 2 hour of labor to harvest. The community has at most 30,000 gallons of fertility and Insecticide and at most 5000 hours of labor for harvesting. If the profits per square kilometer are $60 for wheat and $40 for millet, how many square kilometers of each crop should the community plant in order to maximize profits? What is the maximum profit? Hint: x Is the number of square kilometers of wheat and y is the number of square kilometers of millet. There are three constraints and one is redundant. Constraints Fertilizer and insecticide Labor Profit Wheat (X) 10 1 $60 a) Specify the linear program Millet (V) 4 2 $40 Maximum requirements 000 5,000

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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2) A community farm has 4000 square kilometers of land available to plant wheat (X) and millet (M). Each kilometer square of wheat requires 10 gallons of fertilizer and insecticide and 1 hour of labor to harvest. Each square kilometer of millet requires 4 gallons of fertilizer and insecticide and 2 hour of labor to harvest. The community has at most 30,000 gallons of fertility and Insecticide and at most 5000 hours of labor for harvesting. If the profits per square kilometer are $60 for wheat and $40 for millet, how many square kilometers of each crop should the community plant in order to maximize profits? What is the maximum profit? Hint: x is the number of square kilometers of wheat and y is the number of square kilometers of millet. There are three constraints and one is redundant. Constraints Fertilizer and insecticide Labor Profit Wheat (X) 10 1 $60 a) Specify the linear program Millet (Y) 4 2 $40 Maximum requirements 000 5,000
Transcribed Image Text:2) A community farm has 4000 square kilometers of land available to plant wheat (X) and millet (M). Each kilometer square of wheat requires 10 gallons of fertilizer and insecticide and 1 hour of labor to harvest. Each square kilometer of millet requires 4 gallons of fertilizer and insecticide and 2 hour of labor to harvest. The community has at most 30,000 gallons of fertility and Insecticide and at most 5000 hours of labor for harvesting. If the profits per square kilometer are $60 for wheat and $40 for millet, how many square kilometers of each crop should the community plant in order to maximize profits? What is the maximum profit? Hint: x is the number of square kilometers of wheat and y is the number of square kilometers of millet. There are three constraints and one is redundant. Constraints Fertilizer and insecticide Labor Profit Wheat (X) 10 1 $60 a) Specify the linear program Millet (Y) 4 2 $40 Maximum requirements 000 5,000
b) Draw a graph to show the corner points and Identify the redundant constraint. c) Solve for the maximum amounts of wheat and millet that can be produced. Corner points Wheat (X) Millet (Y A B с D to Profit
Transcribed Image Text:b) Draw a graph to show the corner points and Identify the redundant constraint. c) Solve for the maximum amounts of wheat and millet that can be produced. Corner points Wheat (X) Millet (Y A B с D to Profit
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