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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.

6. why the aggregate supply curve slopes upward in the short run in the short run, the quantity of output that firms supply can deviate from the natural level of output if the actual price level in the economy deviates from the expected price level. several theories explain how this might happen. for example, the misperceptions theory asserts that changes in the price level can temporarily mislead firms about what is happening to their output prices. consider a soybean farmer who expects a price level of 100 in the coming year. if the actual price level turns out to be 90, soybean prices will , and if the farmer mistakenly assumes that the price of soybeans declined relative to other prices of goods and services, she will respond by the quantity of soybeans supplied. if other producers in this economy mistake changes in the price level for changes in their relative prices, the unexpected decrease in the price level causes the quantity of output supplied to the natural level of output in the short run.

When the price of pencils increases from $1.50 to $2.50, there is an increase in quantity demanded of pens from 100 to 150. the cross-price elasticity of demand between pencils and pens is: ?