Clara’s utility function is U(X, Y ) = (X + 2)(Y + 1), where X is her consumption of good X and Y is her consumption of good Y . (a) Write an equation for Clara’s indifference curve that goes through the point (X, Y ) = (2, 8). Y = On the axes below, sketch Clara’s indifference curve for U = 36. Y 16 12 8 4 0 4 8 12 16 X (b) Suppose that the price of each good is 1 and that Clara has an income of 11. Draw in her budget line. Can Clara achieve a utility of 36 with this budget?

Jorge is a manager at starbucks. his operational plan includes achieving annual sales of $4,000,000 for his store. with only one month left to end of the fiscal year, jorge realizes that he won't reach his annual sales goal. what are his options?

Bonds often pay a coupon twice a year. for the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. using the values of cash flows and number of periods, the valuation model is adjusted accordingly. assume that a $1,000,000 par value, semiannual coupon us treasury note with three years to maturity has a coupon rate of 3%. the yield to maturity (ytm) of the bond is 7.70%. using this information and ignoring the other costs involved, calculate the value of the treasury note:

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