Hildegard, an intelligent and charming Holstein cow, grazes in a very large, mostly barren pasture with a few patches of lush gr
ass. When she finds a new grassy area, the amount of grass she gets from it is equal to the square root of the number of hours, h, that she spends grazing there. Finding a new patch of grass on which to graze takes her 1 hour. Since Hildegard does not have pockets, the currency in which her costs are measured is time. (a) What is the total cost to Hildegard of finding a new patch of grass and getting y units of grass from it? (b) Find an expression for her marginal and her average costs per patch of grass as a function of the amount of grass she gets from each patch. (c) How much time would she spend in each patch if she wanted to maximize her food intake? (Hint: Minimize the average cost per unit of grass eaten.)
1 answer:
You might be interested in
Bob has to own his land for 18 years if the price is increasing at the rate of 6% per year.
Given that land was bought by Bob for $16390, the price is increasing at the rate of 6%, price of land today is $46817.
We are required to find the time for which Bob need to own the land so that the price of the land is $46817 today.
Compounding means calculating amount on the principal and the amount added interest.
Rate of increasing the price of land be 6%.
Price when Bob bought the land=$16390.
Price of land today=$46817.
It is like compounding of interest and the sum is calculated as under:
S=P*
In the above equation P is theamount at beginning,r is rate of increasing and n is the number of years.
46817=16390
46817/16390=
=2.8564
=
(Approximately)
From both the sides we will get n=18.
Hence Bob has to own his land for 18 years if the price is increasing at the rate of 6% per year.
Learn more about compounding at brainly.com/question/2449900
#SPJ4