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When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?

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.

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