1} Joe has a utilit'yr function of U = Bab P.4- where B = the number of burgers consumed and F' = number of pizzas consumed. The price of a slice of pizza is $2 I.m'hile the burger is $4. Calculate the utility maximizing quantity of pizza and burgers that joe will buy if he has an income of$400. Show all the steps in your calculations. You need to start your calculations from the utility maximizing condition [MRT=MTS] to get full credit. [10 points] 2} The n'n's production function is Y = 4K5 L-5 Calculate the marginal product of K [using calculus} if K =34!) and L = 420: 5 points} 3} Suppose that the rm's production function is illustrated in the table below. Each K costs $20 and each Lcosts $3. _____ 0 Calculate the marginal cost and the average cost cut the rm when L = 1, 2, 3. 4, and 5. Show all calculations. {11] points]