question archive Show all calculations 2) A community farm has 6000 square kilometers of land available to plant wheat and millet

Show all calculations 2) A community farm has 6000 square kilometers of land available to plant wheat and millet

Subject:EconomicsPrice:2.86 Bought11

Show all calculations

2) A community farm has 6000 square kilometers of land available to plant wheat and millet. Each kilometer square of wheat requires 9 gallons of fertilizer and insecticide and ¾ hour of labor to harvest. Each square kilometer of millet requires 3 gallons of fertilizer and insecticide and 1 hour of labor to harvest. The community has at most 40,500 gallons of fertility and insecticide and at most 5250 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.

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