Question

In: Statistics and Probability

A farmer is going to divide her 30 acre farm between two crops. Seed for crop...

A farmer is going to divide her 30 acre farm between two crops. Seed for crop A costs $30 per acre. Seed for crop B costs $15 per acre. The farmer can spend at most $600 on seed. If crop B brings in a profit of $60 per acre, and crop A brings in a profit of $140 per acre, how many acres of each crop should the farmer plant to maximize her profit?

? acres of crop A

?acres of crop B

Solutions

Expert Solution


Related Solutions

A farmer is going to divide her 60 acre farm between two crops. Seed for crop...
A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $20 per acre. Seed for crop B costs $40 per acre. The farmer can spend at most $2200 on seed. If crop B brings in a profit of $320 per acre, and crop A brings in a profit of $140 per acre, how many acres of each crop should the farmer plant to maximize her profit?
A soybean farmer in the Delta is considering investing in drones to better monitor her crops on her 300-acre operation.
A soybean farmer in the Delta is considering investing in drones to better monitor her crops on her 300-acre operation. Drone deployment will help the farmer spot disease or pests infecting her rice. The estimated increased yield/acre from the drones is 25 bu/acre. The price per bushel is $6.45. The initial purchase of each drone is $1,500 and it will require 3 drones. Additional batteries cost $150 each, so she will get an extra battery for each drone. Also, in...
A farmer has a 100-acre farm on which to plant watermelons and cantaloupes. Every acre with...
A farmer has a 100-acre farm on which to plant watermelons and cantaloupes. Every acre with watermelons requires 50 gallons of water per day and must be prepared for planting with 20 pounds of fertilizer. Every acre with cantaloupes requires 75 gallons of water per day and must be prepared for planting with 15 pounds of fertilizer. The farmer estimates that it will take 2 hours of labor to harvest each acre planted with watermelons and 2.5 hours to harvest...
Use the crop yields (in pounds per acre) from the samples of regular seed & kiln-dried...
Use the crop yields (in pounds per acre) from the samples of regular seed & kiln-dried seed listed in the table below to answer the following questions. Regular 1903 1935 1910 2496 2108 1961 2060 1444 1612 1316 1511 Kiln Dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535 Use an equation editor to formulate the null and alternative hypothesis to test the claim “Kiln dried seed is substantially different than regular seed.” b. Construct a randomization...
On a 100-acre farm, a farmer is able to produce 3,000 bushels of wheat when he...
On a 100-acre farm, a farmer is able to produce 3,000 bushels of wheat when he hires 2 workers. He is able to produce 4,400 bushels of wheat when he hires 3 workers. Which of the following possibilities is consistent with the property of diminishing marginal product? Group of answer choices The farmer is able to produce 5,600 bushels of wheat when he hires 4 workers. The farmer is able to produce 5,400 bushels of wheat when he hires 4...
A farmer has a 1000-acre farm on which carrots, onions, and tomatoes could be planted. He...
A farmer has a 1000-acre farm on which carrots, onions, and tomatoes could be planted. He has 1600 tons of fertilizer, 900 tons of insecticide-A, and 800 tons of insecticide-B. Each acre of carrots requires two tons of fertilizer, one ton of insecticide-A and 0.5 tons of insecticide-B. Each acre of onions requires one ton of fertilizer, 0.25 tons of insecticide-A and 0.75 tons of insecticide-B. Each acre of tomatoes requires 1.5 tons of fertilizer, one ton of insecticide-A and...
7. A farmer wishes to determine if a new fertilizer increases her tomato crop yield. She...
7. A farmer wishes to determine if a new fertilizer increases her tomato crop yield. She lays out seven plots and in each plot plants two tomato plants. One plant is given the new fertilizer and the other is given the fertilizer the farmer is currently using. The table below has the yield (in pounds). Plot 1 2 3 4 5 6 7 New    5.3       6.1        5.7        8.4       3.7        9.4        9.2 Old     4.9        5.9        6.0        6.9       2.8        8.2        7.2 Make...
Crop yields per acre depend on many variables, but two obvious ones are fertilizer and weed...
Crop yields per acre depend on many variables, but two obvious ones are fertilizer and weed control. In an effort to test the effects of various levels of fertilizer and of herbicide, researchers selected six plots of land and subdivided each into eight pieces. Each of the eight pieces of each plot was treated with one of the eight combinations of fertilizer (none, light, moderate, heavy) and herbicide (none, some). The per acre yields of each piece of land are...
Crop yields per acre depend on many variables, but two obvious ones are fertilizer and weed...
Crop yields per acre depend on many variables, but two obvious ones are fertilizer and weed control. In an effort to test the effects of various levels of fertilizer and of herbicide, researchers selected six plots of land and subdivided each into eight pieces. Each of the eight pieces of each plot was treated with one of the eight combinations of fertilizer (none, light, moderate, heavy) and herbicide (none, some). The per acre yields of each piece of land are...
Farmer saw that two of his fields are yielding different quality of crops. He believes this...
Farmer saw that two of his fields are yielding different quality of crops. He believes this is because the fields average soil water content is not the same. To test this claim he takes random soil samples from each field. Field A Results Field B Results Sample Mean = 10.82 Sample Mean = 12.43 Sample standard deviation= 3.92 Sample standard deviation= 2.14 Sample Size= 20 Sample Size= 22 A. What is the critical value for this test? Show work.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT