Suppose that the long run aggregate supply curve is given by ⃑ = 1 2 + 1 2 k⃑⃑ initially, = 2,k⃑⃑ = 4. suppose the money supply is growing at a rate of 5 percent per year. suppose that the velocity of money is = + + + . initially, = = = = 0. 1. derive the aggregate demand curve and the long-run aggregate supply curve 2. solve

cranium, inc., purchases term papers from an overseas supplier under a continuous review system. the average demand for a popular mode is 300 units a day with a standard deviation of 30 units a day. it costs $60 to process each order and there is a five−day lead−time. the holding cost for a paper is $0.25 per year and the company policy is to maintain a 98% service level. cranium operates 200 days per year.what is the reorder point r to satisfy a 98% cycleminus−service level? a. greater than 1,700 unitsb. greater than 1,600 units but less than or equal to 1,700 unitsc. greater than 1,500 units but less than or equal to 1,600 unitsd. less than or equal to 1,500 units

Bill dukes has $100,000 invested in a 2-stock portfolio. $62,500 is invested in stock x and the remainder is invested in stock y. x's beta is 1.50 and y's beta is 0.70. what is the portfolio's beta? do not round your intermediate calculations. round the final answer to 2 decimal places.

Suppose the production function in an economy is y = k0.5l0.5, where k is the amount of capital and l is the amount of labor. the economy begins with 64 units of capital and 16 units of labor. use a calculator and equations in the chapter to find a numerical answer to each of the following questions. what are the wage and the rental price of capital? the wage is equal to unit(s) of output and the rental price of capital is equal to unit(s) of output.