2-14 0.30
(a) 0.10 (b) 0.04 (c) 0.25 (d) 0.40
(a) 0.20 (b) 0.09 (c) 0.31 (d) Dependent
(a) 0.3 (b) 0.3 (c) 0.8 (d) 0.49 (e) 0.24 (f) 0.27
2-22 0.719
(a) 0.08 (b) 0.84 (c) 0.44 (d) 0.92
(a) 0.995 (b) 0.885 (c) Assumed events are independent.
2-28 0.78
2-30 2.85
(a) 0.1172 (b) 0.0439 (c) 0.0098 (d) 0.0010 (e) 0.1719
2-34 0.328, 0.590
2-36 0.776
(a) 0.0548 (b) 0.6554 (c) 0.6554 (d) 0.2119
2-40 18,29.27
(a) 0.5 (b) 0.27425 (c) 48.2
2-44 0.7365
2-46 0.162
3-18 Maximin criterion; Texan
(a) Stock market (b) $21,500
3-22 (b) CD
3-24 (b) Medium
3-26 8 cases
3-30 (b) Very large
(c) Small (d) Very large (e) Very large
3-32 Minimax regret decision: option 2; minimum EOL decision: option 2
3-34 $0.526
3-36 Construct the clinic (EMV = 30,000).
3-40 Do not gather information; build quadplex.
3-42 0.533; 0.109
3-44 (c) Conduct the survey. If the survey is favorable, produce razor; if not favorable, don’t produce razor.
(a) 0.923, 0.077, 0.25, 0.75 (b) 0.949, 0.051, 0.341, 0.659
3-48 Do not use study. Risk avoiders.
(a) Broad (b) Expressway (c) Risk avoider
(b) SST = 29.5. SSE = 12. SSR = 17.5. (c)
4-12 (a)
(a) $149,542 (b) The model predicts the average price for a house this size. (c) Age, number of bedrooms, lot size (d) 0.3969
4-18 For ; for
4-22 The model with just age is best because it has the highest
4-26 The model with horsepower is .
The model with weight is
(a) (b)
5-16 for 3-month moving average; for 4-month moving average
5-20 Forecast for year 12 is 11.789; .
5-23 Forecasts for year 6 are 565.6 and 581.4.
5-25 Forecast for year 6 is 555.
5-27 for trend line; for exponential smoothing; for moving average
5-29 (b) at week 10
5-38 is lowest.
5-40 270, 390, 189, 351
(a) 20,000 (b) 50 (c) 50
6-22 $45 more;
6-24 8 million
6-26 28,284; 34,641; 40,000
(a) 10 (b) 324.92 (c) 6.5 days; 65 units (d) , (e) 7.694 runs; (f) $192.35; $37,384.71 (g) 5
(a) (b) 3.075 (c) 23.075 (d) $4.61
6-32 Add 160 feet, $1,920
6-34 2,697
6-36 Take the discount. .
6-38 $4.50; $6.00; $7.50
6-46 Item 4
6-48 Order 200 units.
7-14 40 air conditioners, 60 fans,
7-16 175 radio ads, 10 TV ads
7-18 40 undergraduate, 20 graduate, $160,000
7-20 $20,000 petrochemical; $30,000 utility;
7-24 (1358.7, 1820.6), $3,179.30
(a) (b) 25 barrels pruned, 62.5 barrels regular (c) 25 acres pruned, 125 acres regular
(a) Yes (b) Doesn’t change
(a) 25 units product 1, 0 units product 2 (b) 25 units of resource 1 are used, slack = 20; 75 units of resource 2 are used, slack = 12; 50 units of resource 3 are used, slack = 0; constraint 3 is binding and others are not. (c) 0, 0, and 25 (d) Resource 3; up to $25 (dual price) (e) Total profit would decrease by 5 (value of reduced cost).
7-36 24 coconuts, 12 skins; rupees
7-44 Use 7.5 lb of C-30, 15 lb of C-92, 0 lb of D-21, and 27.5 lb of E-11; per lb
8-2 (b) $50,000 in LA bonds, $175,000 in Palmer Drugs, $25,000 in Happy Days
8-4 1.33 pounds of oat product per horse, 0 pounds of grain, 3.33 pounds of mineral product
8-6 6.875 TV ads; 10 radio ads; 9 billboard ads; 10 newspaper ads
8-8 Use 30 of the 5-month leases starting in March, 100 5-month leases starting in April, 170 5-month leases starting in May, 160 5-month leases starting in June, and 10 5-month leases starting in July.
8-10 Send 400 students from sector A to school B, 300 from A to school E, 500 from B to school B, 100 from C to school C, 800 from D to school C, and 400 from E to school E.
8-12 (b) 0.499 lb of ground meat, 0.173 lb of chicken, 0.105 lb of spinach, and 0.762 lb of potatoes; total
8-14 13.7 trainees begin in August, and 72.2 begin in October.
9-8 Des Moines to Albuquerque 200, Des Moines to Boston 50, Des Moines to Cleveland 50, Evansville to Boston 150, Ft. Lauderdale to Cleveland 250;
9-10 5 units from Pineville to 3, 30 units from Oak Ridge to 2, 10 units from Oakville to 3, 30 units from Mapletown to 1; ; multiple optimal solutions
9-18 New Orleans’ Houston’s is $19,500, so Houston should be selected.
9-20 Optimal cost using East St. Louis: $17,400; optimal cost using St. Louis: $17,250.
9-22 Job A12 to machine W, Job A15 to machine Z, Job B2 to machine Y, Job B9 to machine X; hours
9-24 4,580 miles
(a) $2,591,200 (b) $2,640,400 (c) $2,610,100 and $2,572,100
9-34 200 on path 1–2–5–7–8, 200 on path 1–3–6–8, and 100 on path 1–4–8; = 500. This increases to 700 with the changes.
9-38 Shortest path is 1–3–7–11–14–16. Total distance is 74.
(a) 1,200 miles (b) 1,000 miles
10-10 (a) 2 prime-time ads per week, 4.25 off-peak ads per week, audience = 38,075 (b) 2 prime-time ads per week, 4 off-peak ads per week, (c) 4 prime-time ads per week, 1 off-peak ad per week,
10-12 3 large posters and 4 small posters
10-16 (b) Build at Mt. Auburn, Mt. Adams, Norwood, Covington, and Eden Park.
10-18 (a) (b)
10-20 (b) 0 TV, 0.73 radio, 0 billboard, and 88.86 newspaper ads
10-28 (b) 18.3 XJ6 and 10.8 XJ8;
10-30 0.333 in stock 1 and 0.667 in stock 2;
11-22 (a) 0.50 (b) 0.50 (c) 0.97725 (d) 0.02275 (e) 43.84
(a) 0.0228 (b) 0.3085 (c) 0.8413 (e) 0.9772
11-28 14
(b) Critical path A–C takes 20 weeks; path B–D takes 18 weeks (c) 0.222 for A–C; 5 for B–D (d) 1.00 (e) 0.963 (f) Path B–D has more variability and has a higher probability of exceeding 22 weeks.
11-38 Yes. The cost to crash is $2,200.
12-10 Total costs for 1, 2, 3, and 4 clerks are $564, $428, $392, and $406, respectively.
12-12 (a) 4.167 cars (b) 0.4167 hours (c) 0.5 hours (d) 0.8333 (e) 0.1667
12-14 (a) 0.512, 0.410, 0.328 (b) 0.2 (c) 0.8 minutes (d) 3.2 (e) 4 (f) 0.429, 0.038 minutes, 0.15, 0.95
12-16 (a) 0.2687 hours (b) 3.2 (c) Yes; per hour.
12-18 (a) 0.0397 hours (b) 0.9524 (c) 0.006 hours (d) 0.1524 (e) 0.4286 (f) 0.4 (g) 0.137
12-20 With one person, and hour. With two people, hour, and hour.
12-22 No
12-24 (a) 0.1333 hours (b) 1.333 (c) 0.2 hour (d) 2 (e) 0.333
12-26 (a) 80 customers per day (b) 10.66 hours, $266.50 (c) 0.664 hours, $16.60 (d) 2 tellers, $208.60
12-30 (a) 0.576 (b) 1.24 (c) 0.344 (d) 0.217 hours (e) 0.467 hours
12-32 (a) 0.27 hours (b) 3.2 (c) 4 (d) 0.33 hours (e) 0.4096
13-14 No
13-16 Expected value is 6.35 (using formula). The average number is 7 in Problem 13-15.
13-18 (b) Average number ; average number of
13-26 (a) Cost/hour is generally more expensive replacing 1 pen each time. (b) Expected cost/hour with 1 pen (or $58/breakdown); expected cost/hour with 4-pen (or $132/breakdown)
14-8 (b) 90% (c) 30%
14-10 Next month, 4/15, 5/15, 6/15; three months, 0.1952, 0.3252, 0.4796
14-12 (a) 70% (b) 30% (c) 40%
14-14 25% for Battle’s; 18.75% for University; 26.25% for Bill’s; 30% for College
14-16 111 at Northside, 75 at West End, and 54 at Suburban
14-18 Horizon will have 104,000 customers, and Local will have 76,000.
14-20 New MFA = (5,645.16, 1,354.84)
14-22 50% Hicourt, 30% Printing House, and 20% Gandy
14-26 Store 1 will have one-third of the customers, and store 2 will have two-thirds.
M2-6 1–2–6–7, with a total distance of 10 miles
M2-8 Shortest route is 1–2–6–7, with a total distance of 14 miles.
M2-10 Shortest route is 1–2–5–8–9, with a distance of 19 miles.
M2-12 4 units of item 1, 1 unit of item 2, and no units of items 3 and 4
M2-14 Ship 6 units of item 1, 1 unit of item 2, and 1 unit of item 3.
M2-16 The shortest route is 1–3–6–11–15–17–19–20.
M4-8 Strategy for strategy for value of the
M4-10 value of
M4-12 (b)
M4-14 Value of
M4-16 Saddle point exists. Shoe Town should invest $15,000 in advertising and Fancy Foot should invest $20,000 in advertising.
M4-18 Eliminate dominated strategy Then is dominated and may be eliminated. The value of the game is 6.
M4-20 Always play strategy $3 million.
M7-18 (b) (d) (e) (f) (g) 800 units of (h) 1,200,000
M7-24 Unbounded
M7-26 Degeneracy;
M7-28 (a) Min.
(b)
M7-30 8 coffee tables, 2 bookcases,
M7-34 (a) 7.5 to infinity (b) Negative infinity to $40 (c) $20 (d) $0
M7-36 (a) 18 Model 102, 4 Model H23 (b) (c) Yes—shadow price is $4. (d) No—shadow price is less than $1.75.
M7-38 (a) Negative infinity to $6 for phosphate, $5 to infinity for potassium (b) Basis won’t change, but and will change.
M8-16 Total cost is $230.
M8-18 Total cost is $14,700.
M8-20 Unbalanced; total
M8-22 Total
M8-24 Job A12 to machine W, Job A15 to machine Z, Job B2 to machine Y, Job B9 to machine X;
M8-26 4,580 miles and 6,040 miles, respectively.
M8-41 (a) The shortest path is 1–3–7–11–14–16 with a distance of 74. (b) The distance increases by 2.
M8-43 (a) 1,200 miles (b) 1,000 miles