Introduction
Costs are a major concern in the decision making process of all firms. However, sometimes, those involved in the decision making process may get too concerned with only the costs of a proposal and forget that there is another side to the production, and hence the profit, equation. This is the benefit of the proposal.
In the profit equation, total costs (TC) are subtracted from total revenues (TR). Thus, P=TR-TC where P is profit. However, one has to remember that there is another equation that is directly related to profit and underlies the business structure. This is the production equation, called a production function, where inputs are combined to create an output or set of outputs.
In some cases, added costs can come from changes in the price of an input. This is an instance where there will be no change in the output levels and no additional revenue (benefit) is gained. Other added costs may occur as a result of a change in inputs or the addition of inputs. These changes are likely to have an effect on the output production and, hence, on the revenue total as well. This is where cost-benefit analysis becomes important to the firm's decision making process.
Illustrative Examples
To further illustrate this, let us examine a couple of scenarios in a cattle enterprise:
| Table 1 | |||||
| Without the Program | With the program | ||||
| Weaning Rate | 70% | 70% | 75% | 80% | 90% |
| Additional # of Calves | 0 | 0 | 5 | 10 | 20 |
| Additional Costs | None | $!,500 | $1,510 | $1,520 | $1,540 |
| Additional Revenues | |||||
| @ $100/cwt. | None | None | $1,750 | $3,500 | $7,000 |
| @ $95/cwt. | None | None | $1,663 | $3,325 | $6,650 |
| @ $90/cwt. | None | None | $1,575 | $3,150 | $6,300 |
| @ $85/cwt. | None | None | $1,488 | $2,975 | $5,950 |
| Change in P | |||||
| @ $100/cwt. | $0 | ($1,500) | $240 | $1,980 | $5,460 |
| @ $95/cwt. | $0 | ($1,500) | $153 | $1,805 | $5,110 |
| @ $90/cwt. | $0 | ($1,500) | $65 | $1,630 | $4,760 |
| @ $85/cwt. | $0 | ($1,500) | ($22) | $1,455 | $4,410 |
Analysis
In Scenario 1, it is clear that a simple cost analysis would yield the same result as a cost-benefit analysis since there are no clear benefits to the more costly of the two products. Revenue is not improved in anyway while costs are increased. The net result would be to decrease profit. So, in the cost-benefit framework, there is negative benefit to the increased cost of the more expensive product.
With Scenario 2, cost-benefit analysis yields a dramatically different result than simply looking a the cost of the program. With scientific backing that healthier animals are more efficient, one could reasonably expect significant performance gains in this situation. Therefore, simply considering the cost of the program would leave out some important considerations to the bottom line of the business enterprise. In fact, a further analysis would show that any improvement in the weaning rate above four percent would make the program profit enhancing above an $87 per hundredweight average steer and heifer price given the assumptions used in this example.
Closing Remarks
These scenarios are simplified in order to clearly illustrate the principles of cost-benefit analysis. In the real world, the principles are sound, but there may be more that needs to be considered. In some cases, the time period may be longer than one year, and time value must be considered. The main point of this exercise is to demonstrate that simply asking "How much does it cost?" may not be the right question to ask in order to make the best decision for your enterprise.