Farmer Hoglund has discovered that on his farm, he can get 30 bushels of corn per acre if he applies no fertilizer. When he applies N pounds of fertilizer to an acre of land, the marginal product of fertilizer is 1 − N/200 bushels of corn per pound of fertilizer.
(a) If the price of corn is $3 a bushel and the price of fertilizer is $p per pound (where p < 3), how many pounds of fertilizer should he use per acre in order to maximize profits?
(b) (Only for those who remember a bit of easy integral calculus.) Write down a function that states Farmer Hoglund’s yield per acre as a function of the amount of fertilizer he uses.
(c) Hoglund’s neighbor, Skoglund, has better land than Hoglund. In fact, for any amount of fertilizer that he applies, he gets exactly twice as much corn per acre as Hoglund would get with the same amount of fertilizer. How much fertilizer will Skoglund use per acre when the price of corn is $3 a bushel and the price of fertilizer is $p a pound? (Hint: Start by writing down Skoglund’s marginal product of fertilizer as a function of N.)
(d) When Hoglund and Skoglund are both maximizing profits, will Skoglund’s output be more than twice as much, less than twice as much or exactly twice as much as Hoglund’s? Explain.
(e) Explain how someone who looked at Hoglund’s and Skoglund’s corn yields and their fertilizer inputs but couldn’t observe the quality of their land, would get a misleading idea of the productivity of fertilizer.
Farmer Hoglund has discovered that on his farm, he can get 30 bushels of corn per...
Question 4 1 pts A farmer estimates that if he picks his corn now his fields will yield 160 bushels per acre at a wholesale price of $4.4 per bushel. Each day he delays picking, he estimates his crop will increase by 3.1 bushels per acre, but the price will drop $O.05 per bushel. How many days should he delay picking to maximize the revenue he earns from his corn crop? Express your answer in days to the nearest whole...
A farmer can grow wheat or corn. The unit profits for a bushel of each are the same. To grow wheat (W) and corn (C), the farmer requires four input factors: Capital (K), land (L), A-Fertilizer (A), and B-fertilizer (B). The production of one bushel of corn requires two units of capital and the production of one unit of wheat four units of capital. The farmer has 32 units of capital available. The production of one bushel of corn requires...
Questions 1-30 refer to the following problem: A farmer can grow wheat or corn. The unit profits for a bushel of each are the same. To grow wheat (W) and corn (C), the farmer requires four input factors: Capital (K), land (L), A-Fertilizer (A), and B-fertilizer (B). The production of one bushel of corn requires two units of capital and the production of one unit of wheat four units of capital. The farmer has 32 units of capital available. The...
The farmer produces 102 bushels of wheat at a total cost of $2 per bushel. He sells all of the wheat to Firm F for $4 per bushel. Firm F produces 59 pounds of flour from the wheat at a total cost of $6 per pound (including the amount paid to the farmer for the wheat). Firm F sells 43 pounds of flour to consumers for $12 per pound. There are no other firms in this simple economy. In total,...
A purely competitive wheat farmer can sell any wheat he grows for $10 per bushel. His five acres of land show diminishing returns because some are better suited for wheat production than others. The first acre can produce 1,000 bushels of wheat, the second acre 900, the third 800, and so on. a. Fill in the table below to answer the following questions. How many bushels will each of the farmer’s five acres produce? How much revenue will each acre...
Edit question A corn farmer expects to harvest $ 50,000 bushels of corn by mid-July 2010. Price per bushel = $ 3.70 A future contract on corn maturing on July 12, 2010 is available on May 3, 2010 with following specifications. Date Future contract closing price per contract ( US$) May 3, 2010 May 17, 2010 3.80 May 31, 2010 3.60 June 14, 2010 3.40 June 28, 2010 3.50 July 12, 2010 3.50 If the corn farmer in the example...
Use the following information for questions 27 – 29. Bill is a corn farmer in the Texas Panhandle. He has a 10 year average corn production of 25,000 bushels on his farm. At no time in the past 5 years has that production dropped below 15,000 bushels. On March 5, Bill notices the December CBOT corn futures are trading at $4.178 per bushel. This is a much higher price than Bill has seen in the past and he wants to...
1. Farmer considering a renewable (wind) energy contract to provide 1 acre of land for a single wind turbine. The turbine will be operational for 10 years and the wind energy company will pay the farmer $5,000 for access to the land. The farmer estimates that he averages about 185 bushels of corn on that acre each year and typically receives around $3.75 per bushel of corn. Per acre cost of farming include: Fertilizer $125 Pesticides $75 Seed $116 Drying...
4. Consider a farmer, who has 500 acres of land, and rase grain, corn and sugar beet. In winter he wants to decide how much land he should devote for each crop in order to get maximum profit in the next autumn. The farmer needs 200 tons of wheat and 240 tons of corn to feed his cattle. These amounts can be either raised by himself or bought from an external wholesaler. If more than this amount is produced, the...
9. Suppose you create an enterprise budget for corn and assume the output price per bushel is $2.25 and the yield is 180 bushels per acre. The total operating expenses are $250 and the total fixed costs are $145. What is the net profit per acre? a. $405 b. $155 c. $145 d. $10 e. none of the above 10. Suppose you create an enterprise budget for corn and assume the output price per bushel is $2.25 and the yield...