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UPSC CSE · CSAT · Reasoning and judgment · TOPIC LESSON

Decision making under constraints

Choose among feasible alternatives using explicit priorities, rather than an attractive result that violates the rules.

UPSC Civil Services40 min study guide8 indexed sections

BY THE END, YOU CAN

  • Separate hard constraints from preferences.
  • Compare dominance, priority ordering and supplied weighted scores.
  • Explain decisions under uncertainty and authority limits.

BEFORE YOU START

  • Compare quantities using consistent units.
  • Distinguish a stated fact from an assumption.

Original educational lesson. Work through the examples before revealing the practice answers. This original common-core lesson supports its declared paper scope. Optional subjects, qualifying language papers and the interview are outside this resource.

LEARN THROUGH ORIGINAL PRACTICE

Original UPSC-style worked applications and practice

All teaching examples, cases, prompts and model answers are original. Official exam questions and answer keys are not reproduced. This common-core lesson does not imply complete historical paper coverage or an official score.

01 / UNDERSTAND & APPLY

Define the decision and the actor

A decision problem specifies an actor, an action and a goal. “Improve service” is too vague until the relevant outcome and scope are identified: reduce waiting, deliver more water, protect safety or allocate a limited trial fairly. Check who may decide and what they are authorized to change.

Separate hard constraints from preferences. A safety requirement or fixed budget may exclude an option altogether. A preference for lower cost can instead be weighed against another benefit if the decision rule permits that tradeoff. Do not silently convert a hard limit into a negotiable score.

Before choosing, rewrite the task as: choose one feasible option that best satisfies the stated criterion. If no priority is supplied and alternatives trade advantages, explain what additional judgment is needed rather than inventing a personal ranking.

ORIGINAL PRACTICE · 1

A fixed budget is 500 units. Option A costs 480 and option B costs 520. B delivers more benefit, but the problem gives no authority to exceed the budget. Which is feasible?

Reveal answer & reasoning

A is feasible; B is not.

Benefit does not override the hard budget cap. If both exceeded the cap, the correct response would be to report no feasible option rather than choose the smaller violation without authorization.

02 / UNDERSTAND & APPLY

Test every hard constraint

Make a feasibility pass before comparing benefits. Check cost, time, capacity, access and any stated safety conditions for each alternative. A plan that satisfies four out of five mandatory requirements can still be infeasible.

Use totals and compatible units. A per-trip price must be multiplied by the number of trips; a continuous two-hour task cannot fit two separated one-hour windows unless splitting is explicitly allowed. Include shared resource conflicts rather than assuming two tasks can use the same vehicle at once.

Feasibility can depend on unknown data. An unverified travel time is not zero and not automatically favourable. State the missing quantity and whether the decision can be deferred, made conditionally or escalated under the problem’s rules.

ORIGINAL WORKED EXAMPLE

Delivering water within two limits

Choose one water-transport plan. Cost must not exceed 1200 units and completion time must not exceed 4 hours. Among feasible plans, maximize delivered volume; if volumes tie, choose lower cost. P costs 1100, takes 5 hours and delivers 900 L. Q costs 1000, takes 4 hours and delivers 800 L. R costs 1300, takes 3 hours and delivers 1000 L. S costs 1200, takes 4 hours and delivers 950 L. Which plan wins?

  1. P violates the time cap:5>4, even though its cost fits.
  2. R violates the budget cap:1300>1200, even though it is fast and carries the most water.
  3. Q and S satisfy both caps; equality at 1200 or 4 hours is permitted by not exceed.
  4. Compare their primary criterion: S delivers 950 L versus Q’s 800 L. The cost tie-break is not reached because volumes differ.

Answer Choose S. Its higher cost than Q does not defeat the explicitly primary volume objective, and its cost still meets the hard cap.

ORIGINAL PRACTICE · 1

A task needs two continuous hours. The only available periods are 09:00–10:00 and 11:00–12:00. Splitting the task is not permitted. Is the schedule feasible?

Reveal answer & reasoning

No.

The total available time is two hours, but no continuous two-hour interval exists. Adding separated periods ignores the task’s continuity constraint.

ORIGINAL PRACTICE · 2

A transport plan requires three trips at 120 units per trip. What cost should be tested against a 400-unit budget?

Reveal answer & reasoning

360 units, so the stated trip cost fits the budget.

The relevant total is 3×120, not the price of one trip. This establishes only this cost condition; other unspecified constraints must not be assumed satisfied.

03 / UNDERSTAND & APPLY

Use the stated comparison rule

A lexicographic rule ranks criteria: compare the primary one first, and use the next only when the earlier criterion ties. The water example prioritizes volume, then cost. A weighted score instead allows tradeoffs, but only when the weights, scoring direction and scales are supplied.

For an explicit example, suppose accessible options U and V are scored from 0 to 10 on reliability and convenience, higher being better. The supplied rule is 0.7×reliability+0.3×convenience. U scores 8 and 5, giving 5.6+1.5=7.1. V scores 6 and 9, giving 4.2+2.7=6.9. U wins under these stated weights even though V is more convenient.

The score is a consequence of the chosen model, not a universal fact that U is better. Different legitimate weights could change the ranking. Do not add hours to currency or invent equal weights without a stated normalization and decision rule. Hard safety conditions should still be checked before scoring if the task defines them that way.

ORIGINAL WORKED EXAMPLE

Safety before downtime

A repair decision first excludes any option failing a stated safety check, then minimizes downtime among the remaining options. Option A passes and requires 2 hours, B passes and requires 3 hours, and C fails but requires 1 hour. Which option should be selected?

  1. Apply the hard safety check first: C is excluded.
  2. A and B remain feasible on the supplied safety facts.
  3. Compare the stated secondary target:2 hours is less than 3 hours.
  4. Do not treat the unsafe hour saved by C as a tradeoff, because the rule does not permit trading safety for speed.

Answer Select A. It passes the required check and has the shortest downtime among the safe options.

ORIGINAL PRACTICE · 1

A rule ranks verified urgency first, then arrival time within the same urgency level. A later arrival has verified urgent status; an earlier arrival is nonurgent. Who takes priority under this rule?

Reveal answer & reasoning

The verified urgent case.

Arrival time is secondary and applies within tied urgency levels. The answer depends on urgency being established under the stated rule, not merely claimed by someone requesting preference.

04 / UNDERSTAND & APPLY

Dominance and incomparable alternatives

Option A dominates B when A is no worse on every relevant criterion and strictly better on at least one, after feasibility is checked. If A is cheaper but B is faster, neither dominates solely on those two criteria. You need an explicit priority or tradeoff judgment.

Dominance is always relative to the relevant criteria and their directions. Lower cost and waiting time may be preferred, while higher access or reliability is preferred. Omitting a material quality difference can create a false dominance claim.

ORIGINAL WORKED EXAMPLE

When the data do not select one winner

Three accessible staffing options fit a 100-unit budget. A costs 80 and produces a stated wait of 20 minutes; B costs 90 with a 15-minute wait; C costs 90 with a 25-minute wait. Quality is equal, and lower cost and lower wait are preferred. Which options are dominated? Can A or B be uniquely chosen without another priority?

  1. A is cheaper and faster than C:80<90 and 20<25, so A dominates C.
  2. B costs the same as C and is faster:15<25, so B also dominates C.
  3. A is cheaper than B, but B is faster than A. Neither is no worse on both criteria.
  4. The supplied data therefore exclude C as dominated but do not uniquely rank A against B.

Answer C is dominated. A and B remain incomparable without a stated priority, willingness to trade cost for time, or another relevant criterion.

ORIGINAL PRACTICE · 1

With equal quality, A costs less and takes less time than B. Both are feasible and only those two criteria matter. What relation holds?

Reveal answer & reasoning

A dominates B.

A is strictly better on both relevant criteria. This conclusion would need reconsideration if a further relevant quality or access difference were introduced.

05 / UNDERSTAND & APPLY

Unknown is a condition to investigate

Missing information differs from a known zero, a known failure and a known average. If a route’s travel time is unknown, a plan cannot be certified to meet a tight deadline by assigning it a favourable value. Identify which observation or verification would most affect feasibility.

A worst-case safeguard and an average-outcome preference solve different problems. Under a strict guarantee requirement, an option with travel time between 2 and 5 hours does not guarantee a 4-hour deadline. Under an explicitly stated expected-time rule, the expected value may matter, but a range alone does not supply its probabilities or mean.

Conditional planning is sometimes appropriate: choose A if a necessary check passes, otherwise use B. State who verifies the check and when the fallback activates. Do not present a conditional plan as an already verified outcome.

ORIGINAL PRACTICE · 1

A plan has an unknown road travel time and a fixed completion deadline. May the unknown segment be entered as zero to finish the comparison?

Reveal answer & reasoning

No. Verify it or state the decision’s dependence on it.

Zero is a value, not a placeholder for ignorance. Assigning it could turn an infeasible plan into an apparently feasible one. A conservative bound or authorized fallback may be useful if the scenario supplies it.

06 / UNDERSTAND & APPLY

Reasoned choice within a legitimate role

A decision can satisfy a numerical objective yet violate the actor’s authority or a stated fairness condition. Check who can authorize a disclosure, waive a requirement or choose an exception. Being helpful does not justify making up powers that the scenario does not grant.

Transparent criteria help relevantly similar cases receive comparable treatment. This does not require identical treatment where a relevant difference such as verified urgency exists. Explain the criterion, not a personal preference or status-based favour. Privacy also limits how much case information should be revealed while giving reasons.

ORIGINAL WORKED EXAMPLE

An unverified appointment inquiry

A desk may disclose a person’s appointment status only after the caller passes a stated verification procedure. An unverified caller asks whether that person has an appointment. Staff may guide the caller through verification and escalate unresolved cases to a supervisor. What response fits the constraints?

  1. Identify the requested disclosure and its verification prerequisite.
  2. Do not infer authorization merely because the caller sounds familiar or says the matter is urgent.
  3. Offer the verification route and explain that status cannot be confirmed before it is completed.
  4. If the caller cannot complete the process, use the stated escalation route without revealing the status or inventing a false denial.

Answer Guide the caller through verification and withhold the status until authorized. The response preserves an available service route without violating the stated privacy condition.

ORIGINAL PRACTICE · 1

An applicant asks an employee without selection authority to promise success. What should the employee do?

Reveal answer & reasoning

Explain the actual process and available next steps, and refer decisions to the authorized person.

A reassuring promise would create unsupported certainty and exceed the role. Accuracy about the process can still be helpful; uncertainty should not be concealed by an invented commitment.

07 / UNDERSTAND & APPLY

A choice needs a workable next step

After selecting an option, identify the responsible action, essential check and fallback. A paper decision that no one implements does not deliver its intended benefit. Monitoring should address the reason the option was chosen and the risks identified, rather than collect unrelated data.

A reversible pilot can reduce uncertainty while limiting exposure, but reversibility does not remove every harm. State what is being tested, who is affected, what safeguards apply and the conditions for changing course. A trial is not a license to ignore the same authority and fairness constraints governing the original choice.

ORIGINAL WORKED EXAMPLE

Selecting one pilot site

Two sites meet every supplied eligibility condition for a reversible service trial. Capacity allows only one site this month. The published tie-break is the earliest complete application; Site M completed its application before Site N. The trial offers an online channel and an assisted desk. Its access safeguard requires that every verified eligible user can complete the service through at least one of those channels. A verified case where an eligible user cannot complete it through either channel triggers review by the responsible supervisor, who may modify or suspend the trial. What should be done?

  1. Both sites are feasible and tied on eligibility.
  2. Apply the published tie-break: M’s complete application is earlier. Do not substitute preference for a more familiar site.
  3. Explain the selection criterion and the trial’s limits without implying N was ineligible.
  4. Assign monitoring of both access channels. Record and refer any verified case where an eligible user cannot complete service through either channel to the responsible supervisor for review and possible modification or suspension. Do not treat an arbitrary preference as a review trigger.

Answer Select M using the published tie-break, communicate the trial’s access safeguard and monitor both channels. A verified eligible user excluded from both channels triggers supervisor review; it does not automatically prescribe one particular remedy.

ORIGINAL PRACTICE · 1

An option may fail a high-impact safety check, while a cosmetic feature is still being compared. Which should be resolved first?

Reveal answer & reasoning

Resolve the safety check before optional cosmetic comparison.

The safety condition can exclude the option entirely, making the cosmetic comparison irrelevant. This ordering follows the given hard constraint, not a general claim that every small uncertainty requires stopping all work.

08 / UNDERSTAND & APPLY

Show the decisive reason

A complete explanation says which options were feasible, which criterion decided among them, and what fact would change the result. In the water example, S wins because 950 L exceeds 800 L within both caps; lowering the budget below 1200 would change feasibility and potentially the selection.

Avoid describing a choice as universally best when it is best only under supplied priorities. If no option dominates and no priority is stated, report the unresolved tradeoff. That is more accurate than quietly importing your own weights.

These original scenarios develop constrained problem-solving. They are not official answer keys or guarantees about future question formats. The transferable skill is making assumptions, comparisons and role limits explicit enough that another reader can inspect the decision.

KEEP THE BIG IDEAS

Quick revision

  • Check every hard constraint before ranking benefits.
  • Use explicit priorities or weights; do not invent tradeoffs.
  • Dominance can eliminate an option without selecting a unique survivor.
  • Unknown information is not a favourable numerical value.
  • Explain authority, implementation and the conditions that could change the choice.
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The teaching notes, passages, worked explanations and practice are original. Official references identify the assessment framework and skill scope; they do not endorse this lesson or license official question reproduction.

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