A farmer is going to divide her 50 acre farm between two crops. Seed for crop...
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...
Formulate but do not solve the following exercise as a linear programming problem. A farmer plans to plant two crops, A and B. The cost of cultivating Crop A is $40/acre, whereas the cost of cultivating Crop B is $60/acre. The farmer has a maximum of $7200 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 2900 labor-hours available. If she expects...
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...
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...
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....
Problem 4 (24 points) Farmer Joe is planning to plant 30 hectares of rice, 40 hectares of wheat, and 30 hectares of cotton in his farm this year. He has 100 hectares of land and 125,000 m² of irrigation water to use. The first table below contains the fully irrigated water demand, the maximum yield per hectare, and the expected profit per ton for the three crops. The ratios of actual-to-maximum yield for each of these three crops under different...
Question 9 (AGRICULTURAL PRODUCTION PLANNING) Margaret Kowalchuk's family owns five parcels of farmland broken into a southeast sector, north sector, northwest sector, west sector, and southwest sector. Kowalchuk is involved primarily in growing wheat, alfalfa, and barley crops and is currently preparing her production plan for next year. The Pennsylvania Water Authority has just announced its yearly water allotment, with the Kowalchuk farm receiving 7400 acre-feet. Each parcel can only tolerate a certain amount of irrigation per growing season, as...
Stephen, MN heveUSDOT 0 Betsy Jensen stands near one of the farm trucks parked at the family farm near Stephen, Minn., on Monday. Dan Gunderson | MPR News Now that spring has finally arrived in Minnesota, the Jensen family is scrambling to get crops planted on their northern Red River Valley farm. But the usual optimism of a spring planting season is tempered this year by worries about the ongoing trade dispute between the United States and China. China has...
Stephen, MN heveUSDOT 0 Betsy Jensen stands near one of the farm trucks parked at the family farm near Stephen, Minn., on Monday. Dan Gunderson | MPR News Now that spring has finally arrived in Minnesota, the Jensen family is scrambling to get crops planted on their northern Red River Valley farm. But the usual optimism of a spring planting season is tempered this year by worries about the ongoing trade dispute between the United States and China. China has...