Eleanor receives utility from consuming food (F) and clothing (C) as given by the utility function U (F, C) = F x C. This means their utility/satisfaction is determined by multiplying the amount food they consume by the amount of clothing they consume. The price of food is $2 per unit, the price ofclothing is $10 per unit, and Eleanor's weekly income is $50. a. What is Eleanor's marginal rate of substitution of food for clothing when utility is maximized? Explain. b. Suppose instead that Eleanor is consuming a bundle with more food and less clothing than the utility-maximizing bundle. Would their marginal rate of substitution of food for clothing be greater than or less than the answer from part a? Explain