The demand for space heaters is Q = 250 – P + 2COOL, where COOL is the absolute value of the difference between the average overnight low temperature and 40°F. Assume that the average overnight low this month is 40°F. When the price of space heaters is P = $50, the price elasticity of demand is:

(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?

Pestiferous manufacturing produces a chemical pesticide and uses process costing. there are three processing departmentslong dash​mixing, ​refining, and packaging. on january​ 1, the first departmentlong dashmixinglong dashhad no beginning inventory. during​ january, 48,000 fl. oz. of chemicals were started in production. of​ these, 40,000 fl. oz. were​ completed, and​ 8,000 fl. oz. remained in process. in the mixing​ department, all direct materials are added at the beginning of the production​ process, and conversion costs are applied evenly throughout the process. at the end of​ january, the equivalent unit data for the mixing department were as​ follows: units equivalent units equivalent units units to be accounted for direct materials costs conversion costs completed and transferred out ​40,000 ​40,000 ​40,000 ending​ work-in-process* ​8,000 ​8,000 ​3,520 ​48,000 ​48,000 ​43,520 ​* percent complete for conversion​ costs: 44% in addition to the​ above, the cost per equivalent unit were​ $1.35 for direct materials and​ $5.30 for conversion costs. using this​ data, calculate the full cost of the ending wip balance in the mixing department. the​ weighted-average method is used.

Elijah and anastasia are husband and wife who have four married children and one minor grandchildren. for 2017, what is the maximum amount they can give to their family (including the sons- and daughters-in-law) without using any of their unified transfer tax credit?