solution

 

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

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?