Breakeven analysis determines the production volume at which the total production cost is equal to the total
revenue. At the breakeven point, there is neither profit nor loss. In general, production costs consist of fixed
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costs and variable costs. Fixed costs include salaries of those not directly involved with production, factory
maintenance costs, insurance costs, and so on. Variable costs depend on production volume and include
material costs, labor costs, and energy costs. In the following analysis, assume that we produce only what we
can sell; thus the production quantity equals the sales. Let the production quantity be Q, in gallons per year.
Consider the following costs for a certain chemical product:
Fixed cost: $3 million per year.
Variable cost: 2.5 cents per gallon of product.
The selling price is 5.5 cents per gallon.
Use these data to plot the total cost and the revenue versus Q, and graphically determine the breakeven
point. Fully label the plot and mark the breakeven point. For what range of Q is production profitable? For
what value of Q is profit a maximum?