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13: A farm co-op has 6000 acres available on which to plant corn and soybeans. The following tabl...
constraint ineanie (5 marks) b) A farm in Kedah has 6000 acres available to plant with rubber tree and oil palms. Each acre of rubber trees requires 9 gallons of fertilizer/herbicide and hour of...
constraint ineanie (5 marks) b) A farm in Kedah has 6000 acres available to plant with rubber tree and oil palms. Each acre of rubber trees requires 9 gallons of fertilizer/herbicide and hour of labor to harvest. Each acre of oil palms requires 3 gallons of fertilizer/herbicide and 1 hour of labor to harvest. The farm has available at most 40,500 gallons of fertilizer/herbicide and at most 5250 hours of labor for harvesting. The profits per acre are RM60 for...
A farmer is planning his spring planting. He has 20 acres on which he can plant...
A farmer is planning his spring planting. He has 20 acres on which he can plant a combination of Corn, Pumpkins and Beans. He wants to maximize his profit but there is a limited demand for each crop. Each crop also requires fertilizer and irrigation water which are in short supply. There are only 50 acre ft of irrigation available and only 8,000 pounds/acre of fertilizer available. The following table summarizes the data for the problem. Crop Profit per Acre...
Your small farm encompasses 110 acres, and you are planning to grow tomatoes, lettuce, and carrots...
Your small farm encompasses 110 acres, and you are planning to grow tomatoes, lettuce, and carrots in the coming planting season. Fertilizer costs per acre are: $5 for tomatoes, $4 for lettuce, and $2 for carrots. Based on past experience, you estimate that each acre of tomatoes will require an average of 4 hours of labor per week, while tending to lettuce and carrots will each require an average of 2 hours per week. You estimate a profit of $3,000...
1) Walnut Orchard has three farms that grow wheat and corn. Because of differing soil conditions,...
1) Walnut Orchard has three farms that grow wheat and corn. Because of differing soil conditions, there are differences in yields and costs of growing crops on the three farms (see Table 1). Corn yield/acre Cost/acre of corn Wheat yield / acre Cost/ acre of wheat Acres available Farm 1 500 bushels $800 350 bushels $1000 100 Table 1 Farm 2 650 bushels $920 400 bushels $900 120 Farm 3 450 bushels $700 375 bushels $800 90 In addition, each...
The Bradley family owns 410 acres of farmland in North Carolina on which they grow corn...
The Bradley family owns 410 acres of farmland in North Carolina
on which they grow corn and tobacco. Each acre of corn costs $105
to plant, cultivate, and harvest; each acre of tobacco costs $210.
The Bradleys’ have a budget of $52,500 for next year. The
government limits the number of acres of tobacco that can be
planted to 100. The profit from each acre of corn is $300; the
profit from each acre of tobacco is $520. The Bradleys’...
A farmer in the Midwest has 1,000 acres of land on which she intends to plant...
A farmer in the Midwest has 1,000 acres of land on which she intends to plant corn, wheat, and soybeans. Each acre of corn costs $100 for preparation, requires 7 worker-days of labor, and yields a profit of $30. An acre of wheat costs $120 to prepare, requires 10 worker-days of labor, and yields $40 profit. An acre of soybeans costs $70 to prepare, requires 8 worker-days, and yields $20 profit. The farmer has taken out a loan of $80,000...
A farmer owns 450 acres of land. He is going to plant each acre with wheat...
A farmer owns 450 acres of land. He is going to plant each acre with wheat or corn. Each acre planted with wheat yields $2000 profit, requires three workers and requires two tons of fertilizer. Each acre planted with corn yields $3000 profit, requires two workers, and requires four tons of fertilizer. There are currently 1000 workers and 1200 tons of fertilizer available. The farmer wants to maximize his profit from planting his land. a) Write the managerial formulation for...
A farmer has 400 acres of available land and $80,000 to spend He wants to plant the combination o...
Please show work using
matrices, thank you!
A farmer has 400 acres of available land and $80,000 to spend He wants to plant the combination of crops which 'maximizes his profit. Complete parts a. through c below Profits and Constraints for Crops Potatoes Corn X2 $128 $40 Cabbage Total Number of Acres Cost (per acre Profit (peracre a. Give tne auai propiem X400 $320 $120 $224 S80,000 $60 2 subject to 320y2 120 128y20 2242 60 with y120, y2 20...
A farmer has 150 acres of land suitable for cultivating Crops A and B. The cost of cultivating Cr...
A farmer has 150 acres of land suitable for cultivating Crops A and B. The cost of cultivating Crop A is $40/acre, and the cost of cultivating Crop B is $60/acre. The farmer has a maximum of $7400 available for land cultivation. Each acre of Crop A requires 20 labor-hours, and each acre of Crop B requires 25 labor-hours. The farmer has a maximum of 3300 labor-hours available. He has also decided that he will cultivate at least 80 acres...
A California grower has a 50-acre farm on which to plant strawberries and tomatoes. The grower...
A California grower has a 50-acre farm on which to plant strawberries and tomatoes. The grower has available 300 hours of labor per week and 800 tons of fertilizer, and he has contracted for shipping space for a maximum of 26 acres’ worth of strawberries and 37 acres’ worth of tomatoes. An acre of strawberries requires 10 hours of labor and 8 tons of fertilizer, whereas an acre of tomatoes requires 3 hours of labor and 20 tons of fertilizer....
constraint ineanie (5 marks) b) A farm in Kedah has 6000 acres available to plant with rubber tree and oil palms. Each acre of rubber trees requires 9 gallons of fertilizer/herbicide and hour of labor to harvest. Each acre of oil palms requires 3 gallons of fertilizer/herbicide and 1 hour of labor to harvest. The farm has available at most 40,500 gallons of fertilizer/herbicide and at most 5250 hours of labor for harvesting. The profits per acre are RM60 for...
Your small farm encompasses 110 acres, and you are planning to grow tomatoes, lettuce, and carrots in the coming planting season. Fertilizer costs per acre are: $5 for tomatoes, $4 for lettuce, and $2 for carrots. Based on past experience, you estimate that each acre of tomatoes will require an average of 4 hours of labor per week, while tending to lettuce and carrots will each require an average of 2 hours per week. You estimate a profit of $3,000...
1) Walnut Orchard has three farms that grow wheat and corn. Because of differing soil conditions, there are differences in yields and costs of growing crops on the three farms (see Table 1). Corn yield/acre Cost/acre of corn Wheat yield / acre Cost/ acre of wheat Acres available Farm 1 500 bushels $800 350 bushels $1000 100 Table 1 Farm 2 650 bushels $920 400 bushels $900 120 Farm 3 450 bushels $700 375 bushels $800 90 In addition, each...
The Bradley family owns 410 acres of farmland in North Carolina
on which they grow corn and tobacco. Each acre of corn costs $105
to plant, cultivate, and harvest; each acre of tobacco costs $210.
The Bradleys’ have a budget of $52,500 for next year. The
government limits the number of acres of tobacco that can be
planted to 100. The profit from each acre of corn is $300; the
profit from each acre of tobacco is $520. The Bradleys’...
A farmer in the Midwest has 1,000 acres of land on which she intends to plant corn, wheat, and soybeans. Each acre of corn costs $100 for preparation, requires 7 worker-days of labor, and yields a profit of $30. An acre of wheat costs $120 to prepare, requires 10 worker-days of labor, and yields $40 profit. An acre of soybeans costs $70 to prepare, requires 8 worker-days, and yields $20 profit. The farmer has taken out a loan of $80,000...
Please show work using
matrices, thank you!
A farmer has 400 acres of available land and $80,000 to spend He wants to plant the combination of crops which 'maximizes his profit. Complete parts a. through c below Profits and Constraints for Crops Potatoes Corn X2 $128 $40 Cabbage Total Number of Acres Cost (per acre Profit (peracre a. Give tne auai propiem X400 $320 $120 $224 S80,000 $60 2 subject to 320y2 120 128y20 2242 60 with y120, y2 20...
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