Mathematics

Tina’s workplace offers soft drinks and chips for sale in vending machines. Her utility function is U = 5SC (where S is the number of soft drinks per week and C the number of bags of chips per week), so her marginal utility of S is 5C and her marginal utility of C is 5S. Soft drinks are priced at $0.50 each, chips $0.25 per bag.

a. Write an expression for Tina’s marginal rate of substitution between soft drinks and chips. (2 points)
b. Use the expression generated in part (a) to determine Tina’s optimal mix of soft drinks and chips. (4 points)
c. If Tina has $7.00 per week to spend on chips and soft drinks, how many of each should she purchase per week? Show your work. (2+4 = 6 points)

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