Use the data in the table below to answer the following questions about a firm. Units ofUnits ...

Use the data in the table below to answer the following questions about a firm.

   Units of   Units of   Total   Marginal   Output
   Input X   Input Y   Product   Product of X   Price

      0   25   0   $10   
   1   25   2   10
   2   25   7   10
   3   25   14   10
   4   25   20   10
   5   25   23   10
   6   25   24   10

a.   Complete the table by calculating the marginal product of input X.
b.   Compute the marginal revenue produce of input X.
c.   If the price of input X were $30 per unit, how many units should the firm use per unit of time to maximize profit?  Explain why profit is maximized.