An intelligent and charming cow, grazes in a very large, mostly barren pasture with a few patches of lush grass. 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 to graze takes her 1 h. the currency of her costs is time.
Illustrate what is the total cost of finding a new plot of grass and getting y units of grass from it?
expression for her marginal cost and her average cost per patch of grass as a function of the amount of grass she gets from each patch"
how much time would she spend in each plot to maximize her food intake?