Why do housing lenders charge more interest up front?

Over the past decade, brands that were once available only to the wealthy have created more affordable product extensions, giving a far broader range of consumers a taste of the good life. jaguar, for instance, launched its x-type sedan, which starts at $30,000 and is meant for the "almost rich" consumer who aspires to live in luxury. by marketing to people who desire a luxurious lifestyle, jaguar is using:

Waterway company’s record of transactions for the month of april was as follows. purchases sales april 1 (balance on hand) 672 @ $6.00 april 3 560 @ $11.00 4 1,680 @ 6.08 9 1,568 @ 11.00 8 896 @ 6.41 11 672 @ 12.00 13 1,344 @ 6.51 23 1,344 @ 12.00 21 784 @ 6.61 27 1,008 @ 13.00 29 560 @ 6.79 5,152 5,936 (a) calculate average-cost per unit. (b) assuming that periodic inventory records are kept in units only, compute the inventory at april 30 using lifo and average-cost. (c) assuming that perpetual inventory records are kept in dollars, determine the inventory using (1) fifo and (2) lifo. (d) compute cost of goods sold assuming periodic inventory procedures and inventory priced at fifo.

(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?