Section R.4 Cost, Revenue, Profit, Break-even points
Raggs, Ltd., a clothing firm, has fixed costs of $10,000 a year. These costs,
such as rent, maintenance, and so on, must be paid no matter how much the
company produces. To produce x units of a certain kind of suit, it costs $20
per suit (unit) in addition to the fixed costs. (That is, the variable costs for
producing x of these suits are 20x dollars.) These costs are due to the
amount produced and stem from items such as material, wages, fuel, and so
on. Raggs, Ltd., sells x suits at $80 per suit.
a) Find and Graph the total cost function in an appropriate window. **
b) What is the total cost of producing 100 suits? 400 suits
c) Graph R(x) and C(x) using the same set of axes.**
d) Find the Profit function P(x)
e) Approximately how many suits need to be sold to break even?
**Note: any graphs of applications should have axes labeled with appropriate
units**