Abuilding was sold for $115,000. down payment in the amount of $15,000 was deposited in escrow, and the buyer obtained a new loan for the balance of the purchase price. the lender charged two discount points. what was the total amount charged to the buyer for points in this purchase?

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?