Tan S.T. Finite Mathematics for the Managerial, Life, and Social Sciences
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612 INDEX
Systems of linear equations (continued)
solution by substitution, 69
three variables, 71
two variables, 68
Systems of linear inequalities, 156–157
half-planes, 156
procedure for graphing, 158
Total cost function, 30
Total output matrix, 142
Transition matrix, 486
Transitional probabilities, 485
Transportation problem, 166–167
Transpose of a matrix, 105
Tree diagram, 330, 339, 356–358, 393–395
Truth tables, 542–544
Two-person game, 512–518
Unbounded solution set, 160
Uniform sample space, 364
Union of two events, 355
Union of sets, 317
Unit column, 80
Universal set, 316
Value of a game, 517
Variable(s)
basic, 203
dependent, 28
independent, 28
nonbasic, 203
random, 418
slack, 202
Variable costs, 31
Variance, 441, 457
Venn diagrams, 316–319, 355–356
Warehouse problem, 167–168, 231–233
Whole numbers, 564
Zero matrix, 105
Zero-sum game, 512
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1. Graph a straight line 23
2. Evaluate a function 37
3. Find the point(s) of intersection of two graphs 49
4. Find an equation of a least-squares line 60
5. Solve a system of linear equations using the Gauss–Jordan method 89, 100
6. Perform matrix operations 110
7. Perform matrix multiplication 125
8. Find the inverse of a square matrix 139
9. Analyze a Leontief input–output model 149
10. Use the simplex method to solve a maximization linear programming problem 222
11. Use the simplex method to solve a minimization linear programming problem 237
12. Use the simplex method to perform sensitivity analysis 239
13. Find the accumulated amount of an investment 273
14. Find the effective rate of interest 273
15. Find the present value of an investment 273
16. Find the future value of an annuity 284
17. Find the present value of an annuity 285
18. Find the payment needed to amortize a loan 297
19. Find the payment needed for a sinking fund 298
20. Evaluate n!, P(n, r), and C(n, r) 348
21. Simulate an experiment 363
22. Graph a histogram for a given set of data 425
23. Find the mean and standard deviation of a random variable 451
24. Calculate the area under the standard normal curve 466
25. Find the distribution vector for a Markov chain 493
26. Find the long-term distribution vector for a Markov chain 503
How-To Technology Index
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(continued)
BUSINESS
AND ECONOMICS
Access to capital, 449
Adjustable-rate mortgage, 291, 296
Advertising, 54, 58, 168, 170, 179, 182, 220
Agriculture, 59, 73, 87, 137, 169, 182, 236, 346,
460, 531, 534
Airline safety, 370
Allocation of funds, 169, 181, 252
Allocation of services, 488, 499
Alternative energy sources, 379
Annuities, 278, 280, 281, 283
Assembly-time studies, 361, 380, 413
Asset allocation, 169, 170, 181, 219, 220
ATM cards, 334
Auditing tax returns, 399
Authentication technology, 59
Automobile colors, 334
Automobile financing, 315
Automobile leasing, 280, 283
Automobile surveys, 534
Average rent, 448
Balloon payment mortgage, 296, 316
Banking, 58, 109
Beverage research, 409
Bidding for contracts, 346
Bidding for rights, 518
Bookstore inventories, 109
Box-office receipts, 74, 88, 122
Brand selection, 387
Break-even analysis, 41, 42, 43, 46, 47, 51, 65
Bridge loans, 270
Broadband Internet households, 35
Broadband versus dial-up, 47
Business travel expenses, 88
Buying trends of home buyers, 501
Cable television, 438
Calling cards, 57
Capital expenditures, 133, 295, 311
CDs, 267, 269, 310
City planning, 487, 488
COLAs, 307
Common stock transactions, 114, 120, 121, 153,
272, 360, 484
Company sales, 65, 302, 304, 310
Competitive strategies, 519, 520, 535
Computer-aided court transcription, 509
Consolidation of business loans, 271
Consumption functions, 34
Corn used in U.S. ethanol production, 367
Corporate bonds, 270
Cost of drilling, 307
Cost of laying cable, 4, 7
Credit cards, 311, 351
Cruise ship bookings, 478
Customer service, 361, 460
Customer surveys, 414, 425
Decision analysis, 42, 43, 47
Demand for electricity, 61, 62
Depreciation of equipment, 30, 305
Dial-up Internet households, 35
Digital TV services, 22
Digital versus film cameras, 47
Double-declining balance depreciation, 305, 308
Downloading music, 379
Durable goods orders, 367
Economic surveys, 328
Effect of inflation on salaries, 271
Electricity consumption, 61, 62, 270
Electricity generation, 379
Employee education and income, 401
Energy consumption, 63
Equilibrium quantity and price, 44, 45, 46, 48,
51, 66
Expected auto sales, 438
Expected demand, 437
Expected home sales, 438
Expected product reliability, 437
Expected profit, 430, 438
Expected sales, 437, 481
401K retirement plans, 122, 328, 378, 379
Factory workers’ wages, 477
Fighting inflation, 367, 414
Financial analysis, 199, 294, 520
Financial planning, 284, 295, 311
Financing a car, 280, 294, 295
Financing a home, 288, 294, 295, 296, 297
Flex-time, 414
Foreign exchange, 122
Gasoline consumption, 510
Gasoline sales, 107, 113, 153
Gross national product, 328
Health-care plan options, 334
Home affordability, 290, 448
Home equity, 289
Home mortgages, 288, 294, 311
Home refinancing, 296
Home sales, 113
Hours worked in some countries, 449
Housing appreciation, 370
Housing loans, 400
Income distributions, 404, 413
Industrial accidents, 445, 478
Inflation rates, 271
Information security software sales, 57
Input–output analysis, 142, 144, 145, 146, 147,
148, 149
Installment loans, 283, 310
Insurance claims, 109
Insurance probabilities, 409, 437
Interest rate prediction, 437
Inventory control and planning, 102, 109, 437
Investment analysis, 256, 281, 283, 284, 296,
438, 447
Investment clubs, 74, 88, 137
Investment options, 267, 271, 332, 343
Investment planning, 74, 183, 271
Investment portfolios, 109, 153
Investment strategies, 528, 531
Investments 74, 87, 88, 98, 121, 153, 169, 170,
181, 219, 220, 252, 271, 328, 351, 378
IRA assets, 57
IRAs, 57, 267, 281, 283, 295
LCDs versus CRTs, 47
Leasing, 47, 51
Life insurance premiums, 438
Linear depreciation, 30, 34, 65
Loan amortization, 294, 297
Loan delinquencies, 478
Machine scheduling, 153
Mail delivered, 449
Mail-order sales, 461
Management decisions, 74, 88, 98, 340, 345,
346, 520
Market equilibrium, 44, 45, 48, 66
Market for cholesterol-reducing drugs, 37, 38
Market research, 56, 183
Market share, 110, 490, 492, 500, 502, 520
Marketing surveys, 325
Maximizing production, 164, 535
Maximizing profit, 164, 168, 169, 170, 171, 175,
181, 182, 183, 187, 195, 196, 197, 199, 214,
217, 219, 220, 248, 252, 256
Microwave ownership, 459
Minimizing mining costs, 169, 182, 196, 256
Minimizing shipping costs, 7, 167, 170, 171,
182, 199, 236, 253
Money market mutual funds, 272
Money market rates, 424
Mortgages, 288, 291, 294, 296, 297
Motorcycle sales, 110
Movie attendance, 357, 367
Municipal bonds, 270
Music venues, 370
Mutual funds, 270, 272, 310
Net-connected computers in Europe, 63
Newspaper subscriptions, 329
Nuclear plant utilization, 21
Nurses’ salaries, 66
Occupancy rate, 448
Online banking, 58
Online retail sales, 271
Online sales of used autos, 58
Online spending, 57
Online travel, 63
Operations management consulting spending, 59
Optimizing production schedules, 170, 171, 219,
220, 248
Organizing production data, 108, 110, 123
Organizing sales data, 101, 111
Packaging, 443, 471
PC growth, 57
Pension funds, 270
Pensions, 271
Personal loans, 316
Personnel selection, 346, 386, 409
Petroleum production, 153
Plans to keep cars, 379
Predicting sales figures, 22
Predicting the value of art, 16
Prefab housing, 171, 220
Pricing, 136, 535
Probability of engine failure, 461
Product reliability, 399, 401, 408, 419, 450, 477
Product safety, 368
Production planning, 102, 106, 118, 123, 124,
214, 248,
Production scheduling, 70, 84, 88, 98, 168, 169,
170, 171, 181, 182, 183, 196, 197, 199, 219,
248, 252
Profit functions, 31, 34, 65, 187
Promissory notes, 271
Purchasing power, 271
List of Applications
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Quality control, 345, 352, 360, 361, 367, 369,
373, 383, 386, 394, 397, 400, 401, 404, 408,
412, 413, 414, 450, 457, 459, 461, 475, 478,
481
Rate comparisons, 271
Rate of return on an investment, 268, 272, 310
Real estate, 74, 87, 122, 266, 271
Real estate transactions, 122, 376, 436, 438
Recycling, 350
Refinancing a home, 296, 297, 316
Reliability of a home theater system, 401
Reliability of security systems, 401
Retail sales, 378
Retirement benefits versus salary, 370
Retirement planning, 122, 283, 293, 295
Revenue growth of a home theater business, 271
Revenue of Moody’s corporation, 58
Revenue projection, 438
Robot reliability, 461
Royalty income, 282
Salary comparisons, 307
Sales growth, 22, 306, 307
Sales of drugs, 57
Sales of GPS equipment, 21, 58
Sales of navigation systems, 21
Sales of plasma TV sets, 414
Sales projections, 460
Sales tax, 34
Sampling, 345, 352, 481
Security breaches, 370
Shadow prices, 192
Shoplifting, 369
Shuttle bus usage, 361
Sinking fund, 292, 295, 298, 299
Social Security benefits, 34
Social Security contributions, 21
Social Security wage base, 58
Spending methods, 369
Staffing, 335
Starbucks’ annual sales, 63
Starbucks’ store count, 56
Starting salaries, 450
Stock transactions, 114, 120, 121, 153
Sum-of-the-years-digits method of depreciation,
307, 308
Supply and demand, 33, 35, 36, 44, 45, 48
Switching jobs, 379
Tax planning, 281, 284, 295, 310
Tax preparation, 378
Tax-deferred annuity, 281
Taxicab movement, 488, 492, 499
Telemarketing, 478
Television commercials, 220
Television pilots, 424
Television programming, 345
Testing new products, 358, 364, 366
Theater bookings, 478
Ticket revenue, 136
Tour revenue, 135
Transportation problem, 166, 182
Transportation, 169, 182, 196
Trust funds, 259, 270, 295, 308
TV households, 377
TVs in the home, 449
Unemployment rates, 437
Union bargaining issues, 334
U.S. drug sales, 57
U.S. financial transactions, 47
U.S. health-care expenditures, 29, 55
U.S. online banking households, 58
U.S. online travel revenue, 63
U.S. outdoor advertising, 58
Violations of the building code, 460
Volkswagen’s revenue, 481
Wage rates, 439
Waiting lines, 345, 420, 424, 428
Warehouse problem, 167, 171, 199, 231
Warranties, 375, 477
Waste generation, 63
Women’s apparel, 379
Worldwide consulting spending, 58
Zero coupon bonds, 267, 271, 272
SOCIAL SCIENCES
Accident prevention, 366
Age distribution in a town, 452
Age distribution of renters, 408
Americans without health insurance, 449
Arrival times, 331, 368
Auto-accident rates, 409, 437
Birthrates, 447
Boston homicides, 448
Campaign strategies, 531
Car theft, 400
Charities, 126
Civil service exams, 477
College admissions, 21, 56, 66, 123, 400, 414,
472
College graduates, 461
College majors, 410, 492
Committee selection, 341
Commuter options, 334
Commuting times, 414
Commuter trends, 327, 492, 501
Compliance with seat belt laws, 407
Consumer decisions, 7, 270, 307, 313, 413
Consumer surveys, 324, 327, 328, 367, 378
Correctional supervision, 368
Course enrollments, 378
Court judgment, 270
Crime, 327, 408
Disposition of criminal cases, 369
Distracted driving, 380
Distribution of families by size, 424
Drivers’ tests, 346, 387
Driving age requirements, 447
Education, 477
Education and income, 401
Educational level of mothers and daughters, 494
Educational level of voters, 400
Elections, 351, 410, 450
Enrollment planning, 21, 123, 378, 400, 511
Exam scores, 439, 448, 461
Financing a college education, 271, 295
Gender gap, 409
Grade distributions, 367, 477
Green companies, 369
Gun-control laws, 380
Highway speeds, 477
Homebuying trends, 501
Homeowners’ choice of energy, 492, 501
Hours worked in some countries, 449
IQs, 477
Investment portfolios, 109
Jury selection, 346
Library usage, 422
Life expectancy, 58, 66, 110
Male life expectancy at 60, 58
Marital status of men, 449
Marital status of women, 481
Mass-transit subsidies, 57
Mortality rates, 110
Narrowing gender gap, 21
Network news viewership, 501
On-time arrivals, 481
One-and two-income families, 501
Opinion polls, 367, 408, 414, 415
Organizing educational data, 123, 322
Organizing sociological data, 425, 447, 449
Parental influence, 369
Political polls, 334, 361, 369, 491
Politics, 122, 407
Professional women, 501
Psychology experiments, 334, 491, 500
Public housing, 386
Research funding, 137
Restaurant violations of the health code, 460
Retirement expectations, 414
Retirement needs, 407
Ridership, 74, 87
Risk of an airplane crash, 380
Rollover deaths, 378
Same-sex marriage, 368
SAT scores, 56, 328, 372
Seat-belt compliance, 407
Selection of Senate committees, 341
Selection of Supreme Court judges, 409
Small-town revival, 491
Smoking and education, 411
Social ladder, 410
Social programs planning, 170, 182
Solar energy, 457, 492
Staying in touch, 369
Student dropout rate, 328
Student enrollment, 400
Student financial aid, 401
Student loans, 295
Student reading habits, 328
Student surveys, 328, 351
Study groups, 345
Switching Internet service providers (ISPs), 401
Teacher attitudes, 378
Teaching assistantships, 346
Television-viewing polls, 183, 334
Traffic surveys, 368, 480
Traffic-flow analysis, 95, 98, 99
Transcription of court proceedings, 509
Trends in auto ownership, 502, 534
U.N. Security Council voting, 343
U.N. voting, 346
U.S. population by age, 424
Urbanization of farmland, 534
Urban–suburban population flow, 487, 488, 492
Use of public transportation, 74, 87, 492, 501
Voter affiliation, 122
List of Applications (continued)
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Voter turnout by income, 410
Voter turnout by profession, 410
Voters, 460
Voting patterns, 409
Voting quorums, 347
Water supply, 169
Women in the professions, 501
World energy consumption, 63
LIFE SCIENCES
Animal nutrition, 183, 252
Bacteria growth, 308
Birth weights of infants, 471
Birthrates, 447
Blood tests, 407
Blood types, 367, 461
Cholesterol levels, 37, 39, 108, 476
Clark’s rule, 65
Color blindness, 390
Corrective lens use, 368
Cost of hospital care, 270
Cowling’s rule, 34
Cricket chirping and temperature, 35
Crop planning 169, 182, 196, 219, 252
Dietary planning, 74, 88, 124, 136, 170, 182,
236, 252
Drug dosages, 34, 65
Drug effectiveness, 481
Drug testing, 461, 478
Female life expectancy at 65, 66
Fertilizer mixtures, 74, 87, 137
Genetics, 502, 508, 511
Heart transplant survival rate, 475
Heights of women, 452, 481
Ideal heights and weights for women, 21
Medical diagnoses, 411
Medical records, 477
Medical research, 401, 409
Medical surveys, 396
Nutrition, 98, 136, 165, 170, 176, 182, 236,
252
Obesity in children, 410
Organizing medical data, 108
Outpatient visits, 63
Probability of transplant rejection, 401
Reliability of medical tests, 408, 409
Serum cholesterol levels, 476
Smoking and emphysema, 396
Success of heart transplants, 458
Veterinary science, 183, 252
Violations of the health code, 460
Weight of whales, 2
GENERAL INTEREST
Automobile options, 319
Automobile selection, 351
Birthday problem, 384, 388
Blackjack, 334, 387
Car pools, 345
Code words, 334
Commuter train arrival times, 368
Computer dating, 334
Computing phone bills, 123
Exercise program, 307
Family food expenditure, 270
Gambler’s ruin, 506, 507
Game shows, 360
Highway speeds, 477
License plate numbers, 334
Lightning deaths, 368
Lotteries, 283, 335, 387, 437
Manned bomber research, 406
Menu selection, 351
Meteorology, 367
Poker, 342, 346, 347, 351, 352, 377, 387
Raffles, 336, 431
Roulette, 369, 387, 431, 433, 439
Saving for a college education, 280, 310
Slot machines, 335, 387, 434
Sports 327, 346, 347, 361, 439, 460, 481
Sweepstakes, 369, 460, 478
Team selection, 351, 352
Temperature conversion, 20, 35
Travel options, 333
Vacation costs, 88
Wardrobe selection, 334
Zodiac signs, 388
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