A company manufactures x number of items, if the demand equation as X=9000-30p and the cost equation as Cx=9000 + 30x.
a. Find the cost of the production (C) of its goods in terms of (p)
b. Find the Revenue (R) in terms of price (p)
c. Determine the prices at the break even points.
d. Determine the price at which the maximum Revenue occurs.
e. Determine the profit of the company.
f. Plot the graphs of Revenue and Cost and show the Profit & Loss areas as well as the break even points.