Problem 2 [30 points] John lives in a dormitory that offers soft drinks and chips for sale in vending machines. His utility function is U(X, Y) = 100 XY (where X is the number of soft drinks per week and Y the number of bags of chips per week), so his marginal utility of X is 100Y and his marginal utility of Y is 100X. Soft drinks are priced at $0.50 each, chips $0.25 per bag. a. Write an expression for John's marginal rate of substitution between soft drinks and chips (put the number of soft drinks per week on the horizontal axis and the number of bags of chips per week on the vertical axis). b. Use the expression generated in part (a) to determine John's optimal mix of soft drinks and chips. c. If John has $5.00 per week to spend on chips and soft drinks, how many of each should she purchase per week