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 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.)