A company manufactures and sells DVD's. Here are the equations they use in connection with their business.
Number of DVD's sold each day: \( n ( x ) = x \)
Selling price for each DVD: \( p ( x ) = 11.5 - 0.02 x \)
Daily fixed costs: \( f ( x ) = 160 \)
Daily variable costs: \( v ( x ) = 2 x \)
Find the following functions.
a. Revenue \( = R ( x ) = \) the product of the number of DVD's sold each day and the selling price of each DVD.
\( R ( x ) = \square \)
b. Cost \( = C ( x ) = \) the sum of the fixed costs and the variable costs.
\( C ( x ) = \square \)
c. Profit \( = P ( x ) = \) the difference between revenue and cost.
\( P ( x ) = \square \)
\(d \) . Average cost \( = \overline { C } ( x ) = \) the quotient of cost and the number of DVD's sold each day.
\( \overline { C } ( x ) = \square \)