Jason has the following utility function: U = F2C where F is food and C is clothing. Clothing is measured on the vertical axis while food is measured on the horizontal one. Suppose the price of food is €3 per unit, the price of clothing is €2 per unit and that Jason’s income is €36. Calculate the number of units of clothing that Jason consumes in equilibrium. Mary has a different utility function than Jason in Question 2 but faces the same prices as him. Suppose she also only consumes food and clothing but we do not know her utility function or her income. What is Mary’s marginal rate of substitution of food for clothing when her utility is maximized? Explain your answer briefly.

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