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*Help with e,f,g,   The White Noise Corporation has estimated the following Cobb-Douglas production function using monthly...

*Help with e,f,g,

  The White Noise Corporation has estimated the following Cobb-Douglas production function using monthly observations for the past two years:

ln Q = 1.386 + 0.20 ln K  + 0.30 ln L + 0.25 ln N

where Q is the number of units of output, K is the number of units of capital, L is the number of unit of labor, and N is the number of units of raw materials.  With respect to the above results, answer the following questions when K = 400, L = 800 and N =200.  

a.  Q  

b.  Rewrite the estimated function in the form of a power function.

c.  Find the marginal products of capital, labor, and raw materials

d.  Find the value of the output elasticities of K, L, and N

e.  Determine whether the returns to scale are increasing, decreasing or constant

f.  Suppose the price of capital is $5.25 per unit, the price of labor is $7, and price of raw materials is $17.50 per unit.  This this an optimal combination of resources

g.  What price would the company have to charge for the product to maximize profits  

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