Henry has a utility function u(c, l) = √ c + 5√ l. He has two sources of income, salary from working and dividend income from investing his saving in the stock market. His budget constraint is c ≤ w(1 − l) + π.

Suppose an economy consists of three sectors: energy (e), manufacturing (m), and agriculture (a). sector e sells 70% of its output to m and 30% to a. sector m sells 30% of its output to e, 50% to a, and retains the rest. sector a sells 15% of its output to e, 30% to m, and retains the rest.

Kenney co. uses process costing to account for the production of canned energy drinks. direct materials are added at the beginning of the process and conversion costs are incurred uniformly throughout the process. equivalent units have been calculated to be 19,200 units for materials and 16,000 units for conversion costs. beginning inventory consisted of $11,200 in materials and $6,400 in conversion costs. april costs were $57,600 for materials and $64,000 for conversion costs. ending inventory still in process was 6,400 units (100% complete for materials, 50% for conversion). the total cost per unit using the weighted average method would be closest to:

The returns on the common stock of maynard cosmetic specialties are quite cyclical. in a boom economy, the stock is expected to return 22 percent in comparison to 9 percent in a normal economy and a negative 14 percent in a recessionary period. the probability of a recession is 35 percent while the probability of a boom is 10 percent. what is the standard deviation of the returns on this stock?