Hildegard, an Intelligent and Charming Holstein Cow,grazes in a Very

Essay

Hildegard, an intelligent and charming Holstein 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 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 plot of grass and getting y units of grass from it?
b.Find an expression for her marginal costs and her average cost 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 plot if she wanted to maximize her food intake? (Hint: Minimize average costs per unit of grass eaten.)