d. Calculate Frank's and Betty's individual demand for good 1 and good 2 as a function of p2. Then calculate p2 by equating total demand for good 1 to total supply (the sum of the endowments) of good 1. e. How much of good 1 and good 2 is demanded by Frank and how much by Betty? Calculate for both persons the level of their utility in the initial situation (when they had to consume their endowment levels) and the level of utility after trade has taken place. Has there been a Pareto-improvement? Marginal utility of c1 is defined as the derivative of the utility function for c1. Call this MU1. Likewise we can calculate MU2, the marginal utility of c2. The marginal rate of substitution (MRSa,@) is given by MU1 / MU2. f. What was the value of the MRS for Frank initially? And what is it afterwards? Do the same for Betty, and show that by trading with each other, both end up with the same value of MRS. g. Make a sketch of an Edgeworth box, with the origin of Frank at the left- bottom comer, and the origin of Betty at the right-top comer, good 1 on the horizontal axis and good 2 on the vertical axis