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Find the inverse demand curve what is its slope and its

Suppose that a price setting firm has the following direct demand function:

Qd = 100-20P

Find the inverse demand curve. What is it's slope and its intercept?
Find the equation for Total Revenue.
Find the equation for Marginal Revenue.
What is the quantity where Total Revenue is maximized? How is this related to Marginal Revenue?
Calculate the own price elasticity of demand at the quantity where Total Revenue is maximized.
A decrease in price below $2.00 will do what to Total Revenue? To Marginal Revenue? Why? Hint: Drawing the two graphs (the one with D and MR drawn against Q and the second with TR drawn against Q might help.
Suppose now that the firm is a profit maximizing firm, and that MC = 2.5 + .025Q. Find the profit maximizing output and price. Calculate the own price elasticity of demand at the profit maximizing price and output.
Given your results, is there a difference between maximizing Revenue (part d) and maximizing profits (part g). Why?

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