Problem 1
What is opportunity cost?
Show worked solution
It is the value of the best feasible alternative given up, not the sum of all possible alternatives.
ss-2018:7:19ss-2026:7:4
ss-2018:7:19 Individuals, governments and businesses must analyze costs and benefits when making economic decisions. A cost- benefit analysis consists of determining the potential costs and benefits of an action and then balancing the costs against the benefits.
ss-2026:7:4 Economic decisions made by individuals, businesses, and governments have impacts on both the present and future.
Study these connected lessons together: Model productive resources, specialization and interdependence, Connect growing markets, barter and the functions of money.
Learning goal: Compare costs and benefits in decisions made by individuals, businesses and governments. Identify the best alternative given up, distinguish monetary and nonmonetary effects, describe short-term and long-term consequences, and explain how uncertainty or different priorities can change a choice.
Scarcity means resources are limited relative to their possible uses. Time, materials, labor and money used for one purpose cannot simultaneously be used for every alternative. A cost is something given up or an unfavorable consequence; a benefit is a valued result. Some can be measured in money, while others concern time, access, convenience or environmental conditions.
Opportunity cost is the value of the best alternative forgone. It is not the sum of every imaginable alternative. If a person has time for only one of three activities, choosing the favorite gives up the next-best feasible choice, not three activities that could never all fit. Identify actual alternatives and constraints before calculating.
Cost-benefit analysis organizes a comparison; it does not supply everyone's values. Two people may examine the same evidence and choose differently because they prioritize different benefits. A clear explanation states the decision maker, the alternatives, the period of comparison, the important effects and the assumptions.
Begin with an invented individual decision. Mina has one free hour and can either repair a loose shelf with materials already available or attend a practice session. The practice has no admission fee, but it still uses the hour. If repairing the shelf is Mina's next-best choice, the opportunity cost of practice includes delaying that repair. A zero price does not mean the activity uses no scarce resources.
Mina should consider urgency, enjoyment and the effect of delay. If the shelf can safely wait, practice may be preferred; if it is needed immediately, the ranking may change. The model does not require a universal answer. A good response identifies the tradeoff and explains which condition drives the choice rather than inventing a dollar value for every feeling.
Now consider an invented workshop business. A reusable jig, a device that holds or guides material during production, costs 90 credits to acquire and saves four credits of labor expense per item produced during a planned period. At twenty items, the expense reduction is 80 credits, less than the 90-credit acquisition cost. At thirty items, the reduction is 120 credits, leaving a 30-credit advantage after that cost. These are fictional accounting quantities, not advice about an actual purchase.
The comparison must keep its period and assumptions consistent. It assumes the stated expense can actually be avoided, production reaches the planned quantity and the jig requires no additional maintenance. If the tool has value after the period or improves quality, those effects matter too. If production is lower than expected or the jig fails, the outcome changes. List omitted factors before claiming the arithmetic settles the whole decision.
With whole items, at least twenty-three are needed for the stated savings to exceed 90 credits: twenty-two save 88, while twenty-three save 92. This is a threshold under the model, not a promise that demand exists. A business decision includes both calculating possible outcomes and evaluating how realistic the conditions are.
Government decisions involve public resources and effects on different people. Consider an invented town with 120 planning credits available for one project. Repairing a footbridge costs 100 and leaves 20; improving a market shelter costs 90 and leaves 30. Both are affordable in the model, but the cheaper project is not automatically the better use. The town must investigate who needs each service and what problems each solves.
The footbridge may improve access between homes and a market, while the shelter may reduce weather disruption for sellers and buyers. Evidence could include counts of users, accessibility observations, repair condition and maintenance needs. Benefits for people who cannot currently use a damaged crossing may be missed if officials count only present users. A useful public comparison asks who is affected, not just how many transactions occur.
The opportunity cost of choosing one project includes the best forgone alternative use of the resources. Do not count money left over as a benefit while also pretending the town spent its entire budget. If smaller combinations or later phases are feasible, add them to the comparison explicitly rather than assuming the two listed projects exhaust all possibilities.
Public costs can also fall on people who are not direct users. Construction may interrupt nearby access or require maintenance funded later. Benefits may extend beyond the person paying a fee. Such effects require evidence and discussion; they cannot always be reduced to the project's sales revenue. State whose costs and benefits the analysis includes.
Costs and benefits also arrive at different times, so a complete analysis lists short-term and long-term consequences. An economic decision has impacts in the present and in the future. Mina's practice session gives a benefit today, while a delayed repair could mean a bigger job later. The workshop pays the full 90 credits now, but its four-credit savings arrive one item at a time: in the model the purchase is still behind after 22 items and ahead only from the 23rd. The town pays for a bridge repair in the present; people may use the crossing, and the town may pay to maintain it, for years afterward. The people who bear a present cost are not always the people who receive a future benefit. The companion lesson on present and future impacts studies this timing in more depth.
The illustration keeps three decisions separate: an individual's hour, a business's production threshold and a town's public project. The units and purposes differ. Adding one hour to thirty credits would not produce a meaningful total. When units cannot be combined, compare criteria clearly rather than disguising a judgment as a single precise number.
For an independent performance, choose a hypothetical individual, business or public decision and compare two feasible alternatives. Provide invented data marked as a model or use identified evidence. Include a monetary or time calculation, a nonmonetary effect, the opportunity cost and one uncertainty. Then change a key assumption and explain whether the recommendation still follows.
Worked business threshold: Twenty-two items save 22 × 4 = 88 credits, which is below the 90-credit cost. Twenty-three save 92, giving a two-credit advantage under the model. The calculation excludes maintenance and assumes all projected labor expense can be avoided.
Worked public comparison: The bridge leaves 120 − 100 = 20 credits; the shelter leaves 120 − 90 = 30. This establishes affordability and remaining funds. Choosing requires further evidence about access, use, maintenance and affected groups; ten credits of difference alone does not measure every consequence.
Worked timing of costs and benefits: The workshop spends 90 credits before it makes any item with the jig. After 10 items it has saved 10 × 4 = 40 credits and is 50 behind. After 22 items it has saved 88 and is 2 behind; after 23 it has saved 92 and is 2 ahead. The cost is immediate and the benefit builds up over time, so the decision depends on how far into the future production continues.
Supported comparison: Prepare a decision table for all three cases. Identify scarce resources, alternatives, potential benefits and costs, the best forgone alternative and missing information. Explain why a no-fee activity still has an opportunity cost.
Independent performance: Write a decision memo with two alternatives, clear units and an explicit time period. Calculate one relevant comparison, explain a nonmonetary effect and identify who bears a cost. Test a changed assumption, such as lower production or greater maintenance needs, and revise the recommendation if needed. Evaluate the reasoning rather than requiring every student to choose the same alternative.
An adult may read the prompts aloud. Answer independently with words, objects, drawings or a demonstration before opening the answer guide. Award 1 point for a correct result or claim and 1 point for a matching explanation or demonstration; where a question asks only for a result (a corrected sentence, a spelling, a count), a fully correct result earns both points, and the answer guide shows what a complete response contains. Record prompting separately. The total (two points per question) is local practice feedback, not an Ohio proficiency level.
What is opportunity cost?
It is the value of the best feasible alternative given up, not the sum of all possible alternatives.
Why does a no-fee practice still have a cost for Mina?
It uses her limited hour and gives up the next-best use of that time, such as repairing the shelf.
The jig costs 90 credits and saves 4 credits of labor expense per item. How do the savings from twenty items compare with its cost?
Twenty times four is 80 credits, ten less than the 90-credit cost, so twenty items do not recover it.
At 4 credits saved per item, what is the first whole number of items whose savings exceed the jig’s 90-credit cost?
Twenty-three items save 92 credits; twenty-two save only 88.
The invented town has 120 planning credits. How much remains after a 100-credit bridge repair, and how much after a 90-credit shelter improvement?
The bridge leaves 20 credits; the shelter leaves 30.
Why is the cheaper public project not automatically preferable?
Different projects affect access, users, maintenance and other public benefits differently; price alone does not capture all consequences.
The workshop pays 90 credits for the jig now and saves 4 credits per item afterward. Describe one short-term and one long-term consequence of buying it.
Short term, the business has 90 fewer credits and is still behind after 22 items, which save 88. Long term, from the 23rd item the savings exceed the cost, provided production continues and the jig keeps working. Costs and benefits arrive at different times.