Rodrigo wanted to buy his wife a pearl necklace for her birthday. Murphy's Jewelry had a necklace he liked for $139, but he bought the same necklace at Pearls for Her. This pearl necklace was originally $173.75, but was on sale for 20% off, which reduced the price to $139. He was very pleased with his bargain. Rodrigo is subject to:

(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?