Decision Making - Expert Level: benefit analysis EXPERT

Strategic basic drills ★ for decision making: 20 expert-level problems. Worksheet 29 of 30 - Focus: benefit analysis. Develop expertise in decision logic, choice selection, optimal decisions with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Decision Making
Worksheet 29 of 30 (96% complete)

Question 1

Situation: A company can use $500,000 to: upgrade equipment (increase efficiency 20%), hire employees (expand capacity 30%), or keep as cash reserve (maintain financial stability) Considering opportunity costs, what is the best choice?
30% capacity expansion provides highest growth potential if market demand supports it. The opportunity cost of hiring is foregone efficiency gains, but capacity growth typically drives revenue more directly.

Question 2

Decision: Invest in R&D for new product or improve existing product? Based on expected value analysis, what is the optimal strategy?
New product: 30% success → 500 profit, 70% failure → -200 loss = EV = 150-140=10. Improve existing: 80% success → 200 profit, 20% no gain = EV=160. Existing product improvement has higher EV.

Question 3

Situation: Emergency room with one ventilator left. Four patients need it: 20-year-old (90% survival), 40-year-old (70% survival), 60-year-old (50% survival), 80-year-old (30% survival). What is the best decision in this emergency situation?
Utilitarian approach - maximizing total life years saved. Youngest patient has highest potential remaining lifespan and good survival probability.

Question 4

Situation: Emergency room with one ventilator left. Four patients need it: 20-year-old (90% survival), 40-year-old (70% survival), 60-year-old (50% survival), 80-year-old (30% survival). What is the best decision in this emergency situation?
Utilitarian approach - maximizing total life years saved. Youngest patient has highest potential remaining lifespan and good survival probability.

Question 5

Situation: Technology adoption decision for traditional manufacturing company Considering risk assessment, what is the most appropriate decision?
Partial automation balances risk and reward - moderate investment ($800k) with good efficiency gain (40%) and acceptable failure risk (15%). Full automation's 30% failure risk on $2M is too high for traditional company.

Question 6

Situation: John has 4 hours of free time: study for exam (improve grades), work part-time job (earn $60), or exercise and relax (improve health) Considering opportunity costs, what is the best choice?
Long-term academic success typically has higher lifetime value than $60 or immediate health benefits. The opportunity cost of studying is short-term earnings, but education ROI justifies this choice.

Question 7

Situation: Business expansion decision for cash-strapped startup with limited runway (6 months of cash left) Considering risk assessment, what is the most appropriate decision?
With only 6 months runway, survival is priority. Maintaining current operations gives 90% survival chance with minimal investment, avoiding overextension risk.

Question 8

Decision: Company considering automation that will eliminate 200 jobs but increase efficiency by 40% Considering all stakeholder impacts, what is the most ethical and practical approach?
Balances efficiency gains with social responsibility. Saves 100 jobs while improving efficiency, providing transition support for affected workers. This approach balances competing interests while prioritizing overall welfare.

Question 9

Decision: Expand to international market or focus on domestic growth? Based on expected value analysis, what is the optimal strategy?
International: 25% chance of 1000 profit, 75% chance of 100 loss → EV=250-75=175. Domestic: 60% chance of 400 profit, 40% chance of 50 loss → EV=240-20=220. Domestic focus has higher expected value.

Question 10

Situation: Sarah has $10,000 to either: pay off credit card debt (12% interest), invest in stock market (expected 10% return), or put in savings account (2% interest) Considering opportunity costs, what is the best choice?
Paying off 12% debt provides guaranteed 12% 'return' (interest saved), which exceeds the expected 10% stock market return and is risk-free. The opportunity cost of not paying debt is 12% interest accrual.

Question 11

Situation: A professional can either: take a promotion with 20% raise but 10 hours more work weekly, or start a side business with potential for 50% income increase but high failure risk Considering opportunity costs, what is the best choice?
Promotion offers guaranteed 20% raise with known trade-offs. Side business has high failure risk (typically 50%+). The opportunity cost of not taking promotion is guaranteed income loss for uncertain gain.

Question 12

Situation: A professional can either: take a promotion with 20% raise but 10 hours more work weekly, or start a side business with potential for 50% income increase but high failure risk Considering opportunity costs, what is the best choice?
Promotion offers guaranteed 20% raise with known trade-offs. Side business has high failure risk (typically 50%+). The opportunity cost of not taking promotion is guaranteed income loss for uncertain gain.

Question 13

Situation: During a riot, you must decide whether to deploy tear gas on a crowd of 500 protesters (risk of injury to 50, but stop violence) or let them protest (risk of 100 injuries from violence). What is the best decision in this emergency situation?
Risk assessment: 50 injuries from tear gas vs 100 injuries from violence. Immediate deployment minimizes total harm despite short-term side effects.

Question 14

Situation: Technology adoption decision for traditional manufacturing company Considering risk assessment, what is the most appropriate decision?
Partial automation balances risk and reward - moderate investment ($800k) with good efficiency gain (40%) and acceptable failure risk (15%). Full automation's 30% failure risk on $2M is too high for traditional company.

Question 15

Scenario: Selecting a candidate for promotion Criteria weights: Technical skills (30%), Leadership (30%), Experience (25%), Cultural fit (15%) Scores: Candidate P: 9/7/8/8, Candidate Q: 7/9/7/7, Candidate R: 8/8/9/9 Based on weighted multi-criteria evaluation, which option should be selected?
P=2.7+2.1+2.0+1.2=8.0; Q=2.1+2.7+1.75+1.05=7.6; R=2.4+2.4+2.25+1.35=8.4. Candidate R scores highest across all criteria.

Question 16

Situation: Career decision for mid-level professional with family responsibilities (sole earner, 2 children) Considering risk assessment, what is the most appropriate decision?
As sole earner with family responsibilities, income stability is critical. The downside risk of startup failure (50%) or business failure (70%) is too high given family obligations.

Question 17

Decision: University deciding on tuition policy amid financial pressures Considering all stakeholder impacts, what is the most ethical and practical approach?
Balances financial sustainability with accessibility. Small increase with aid protects vulnerable students while generating needed revenue. This approach balances competing interests while prioritizing overall welfare.

Question 18

Situation: During a riot, you must decide whether to deploy tear gas on a crowd of 500 protesters (risk of injury to 50, but stop violence) or let them protest (risk of 100 injuries from violence). What is the best decision in this emergency situation?
Risk assessment: 50 injuries from tear gas vs 100 injuries from violence. Immediate deployment minimizes total harm despite short-term side effects.

Question 19

Scenario: Selecting a software vendor for company operations Criteria weights: Reliability (40%), Features (35%), Cost (25%) Scores: Vendor A: 9/8/7, Vendor B: 7/9/8, Vendor C: 8/7/9 Based on weighted multi-criteria evaluation, which option should be selected?
Weighted scores: A=9×0.4+8×0.35+7×0.25=3.6+2.8+1.75=8.15; B=2.8+3.15+2.0=7.95; C=3.2+2.45+2.25=7.9. Vendor A scores highest.

Question 20

Situation: John has 4 hours of free time: study for exam (improve grades), work part-time job (earn $60), or exercise and relax (improve health) Considering opportunity costs, what is the best choice?
Long-term academic success typically has higher lifetime value than $60 or immediate health benefits. The opportunity cost of studying is short-term earnings, but education ROI justifies this choice.
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