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I If Francis had a marginal utility of MUE: = 6 for clothes and MUTE = 2 for tea, while Miguel had a marginal utility of MU\" = 15 for clothes and MUTE = 7.5 for tea, then the relative price of clothes {in terms of units of tea) has to he in what range? TWill Francis trade any tea for clothes or will he trade away clothes for tea? Show your work. (2.5) 11 Considering her retirement portfolio choice, risleaverse Barbara has two options: she can buy stocks with a high expected return and medium volatility {risk} and she can buy commodity futures with a low expected return and high volatility {risk}. Under which circumstances {with respect to correlations and riskaversion} should Barbara buy commodity futures as part oi her portfolio\"? Show your reasoning. (2.5)