Answer to Question #56642 in Algebra for Bob

Question

A furniture company is faced with the following the price-demand function,
revenue function, and cost function:

p(x) = 90 − 5x
R(x) = xp(x)
C(x) = 250 + 15x
where p(x) is the price in dollars at which x hundred chairs can be sold and
R(x) and C(x) are in thousands of dollars.

a. Give the revenue R for producing 1200 chairs.
b. Find the production level that gives the break-even point.
c. Find the production level that gives the maximum revenue and the maximum
profit.