The WarmHouse Company has a small plant that manufactures heaters for homes. Its annual fixed costs are $50,000, and its variable costs are $75 per unit. It can sell a heater for $100. i) How many heaters must the company sell to break even?

ii) What is the break-even revenue?

(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?