Consider an economy that produces output with labor and capital, with those goods allocated to consumption and investment. suppose a breakthrough occurs that will increase productivity permanently beginning next period, but does not affect the current production function. explain the impact of this future higher productivity on the goods market today. that is, what happens to consumption demand, investment demand, aggregate demand, and aggregate supply? what happens to the market-clearing real interest rate and total output? justify all your answers. also illustrate graphically. can you say unambiguously what happens to market clearing consumption today? explain. can you say what happens to labor supply today?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

Inventory by three methods; cost of goods sold the units of an item available for sale during the year were as follows: jan. 1 inventory 20 units at $1,800 may 15 purchase 31 units at $1,950 aug. 7 purchase 13 units at $2,040 nov. 20 purchase 16 units at $2,100 there are 18 units of the item in the physical inventory at december 31. determine the cost of ending inventory and the cost of goods sold by three methods, presenting your answers in the following form: round your final answers to the nearest dollar. cost inventory method ending inventory cost of goods sold a. first-in, first-out method $ $ b. last-in, first-out method $ $ c. weighted average cost method $ $

Abus pass costs $5 per week. which of the following equations shows the total cost in dollars, t, of the bus pass for a certain number of weeks, w? t = 5w w = 5t t = 5 + w w = 5 + t