Archives: Solution Manual

Feed A Feed B Feed C Feed D Feed E Number of lbs 8.00 2.00 2.00 12.00 16.00 Problem 3-39 Cost $0.960 $0.850 $0.775 $0.450 $0.375 $22.33 Constraints: Max B, C, & E 1 1 1 20.00 <= 20.00 Min […]

A B Protein Number of ml 93.680 175.410 55.910 Problem 3-38 Cost $0.00325 $0.00450 $0.02800 $2.66 Constraints: Fat (g) 0.008 0.012 0.002 2.97 <= 3 Carbohydrate (g) 0.147 0.096 0.024 31.95 <= 38 Sodium (mg) 1.770 0.720 0.320 310.00 <= […]

Problem 3-37 A in Tuffcoat B in Tuffcoat A in Satinwear B in Satinwear Number of gallons 320.00 1,280.00 625.00 625.00 Cost $4.50 $6.50 $4.50 $6.50 $16,635.00 Constraints: Tuff Coat demand 1 1 1600.00 >= 1600.00 Satinwear demand 1 1 […]

Ital in Comm Ital in Virgin Ital in Extra Span in Comm Span in Virgin Span in Extra Problem 3-36 Number of gallons 245.00 2,200.00 630.00 455.00 0.00 770.00 Cost $5.75 $5.75 $5.75 $6.50 $6.50 $6.50 $25,643.75 Constraints: Comm demand […]

Beef Pork Chicken Turkey Number of pounds 0.0313 0.0313 0.0000 0.0625 Cost $0.76 $0.82 $0.64 $0.58 $0.086 Problem 3-35 Constraints: Calories 640 1055 780 528 85.969 <= 100.000 Fat 32.5 54.0 25.6 6.4 3.103 <= 6.000 Cholesterol 210 205 220 […]

Problem 3-34 Alloy 1 Alloy 2 Alloy 3 Iron 1 Iron 2 Carbide 1 Carbide 2 Carbide 3 Number of pounds 0.000 0.000 0.000 896.629 1060.674 0.000 0.000 42.697 Cost $0.12 $0.13 $0.15 $0.09 $0.07 $0.10 $0.12 $0.09 $158.79 Constraints: […]

Oat Grain Mineral Number of pounds 1.500 1.000 2.500 Problem 3-32 Cost $0.33 $0.44 $0.57 $2.36 Constraints: Nutrient A 2.0 3.0 1.0 8.50 >= 6 Nutrient B 0.5 1.0 0.5 3.00 >= 2 Nutrient C 3.0 5.0 6.0 24.50 >= […]

Beef Pork Corn Lamb Rice Chicken Number of pounds 0.167 0.000 0.000 0.459 0.066 0.309 Problem 3-31 Cost $0.52 $0.49 $0.20 $0.40 $0.17 $0.39 $0.40 Constraints: Protein (%) 16.9 12.0 8.5 15.4 8.5 18.0 16.00 >= 16 Fat (%) 26.0 […]

E in X F in X G in X E in Y F in Y G in Y E in Z F in Z G in Z E in Y 1 1000.00 <= 1000 E in Z 1 2100.00 <= […]

Problem 3-29 Union Non- union Temp Number hired 15.00 12.00 3.00 Salary $154 $144 $60 $4,218.00 Constraints: Cells needed 70 80 30 2100.00 >= 2100.00 Union vs Non-union 1 12.00 <= 12.00 Union vs Temp 1 3.00 <= 3.00 LHS […]

Corn in A Corn in B Corn in C Wheat in A Wheat in B Wheat in C Soy in A Soy in B Soy in C Wheat acreage 1 1 1 700.00 <= 700 Soy acreage 1 1 1 […]

Wheat SE Wheat N Wheat NW Wheat W Wheat SW Alfalfa SE Alfalfa N Alfalfa NW Alfalfa W Alfalfa SW Barley SE Barley N Barley NW Barley W Barley SW SW acreage 1 1 1 0.00 <= 500 Wheat acreage […]

Corn Tomato Potato Okra Corn Tomato Potato Okra Number of acres 59.93 0.00 0.00 0.00 50.91 0.00 0.00 13.09 Min Grover farm 1 1 1 1 59.93 >= 48 Min Gupta farm 1 1 1 1 64.00 >= 64 LHS […]

Corn Tomato Potato Okra Constraints: Tending time 2 8 2 12 365.00 <= 550 Harvest time 6 20 920 695.00 <= 775 Water 2.5 3 2 3 156.25 <= 300 Fertilizer 50 60 45 35 2500.00 <= 2500 LHS Sign […]

Problem 3-24 A in starboard A in port B in starboard B in port Weight in tons 10.22 4.44 15.78 27.56 Value $85 $85 $79 $79 $4,670.00 Constraints: Available A 1 1 14.67 <= 15.00 Available B 1 1 43.33 […]

A in R- Fore B in R- Fore C in R- Fore A in R- Center B in R- Center C in R- Center A in R-Aft B in R- Aft C in R- Aft A in L- Fore B […]

Problem 3-22 Cargo A Cargo B Cargo C Cargo D Cargo E Cargo D limit (tons) 1 460.00 <= 2300 Cargo E limit (tons) 1 720.00 <= 3600 Min cargo A (tons) 1 194.00 >= 194 Min cargo B (tons) […]

Cargo A Cargo B Cargo C Cargo D Cargo E Cargo F Cargo G Cargo C limit (lbs) 1 0.00 <= 90 Cargo D limit (lbs) 1 0.00 <= 120 Cargo E limit (lbs) 1 125.45 <= 130 Cargo F […]

English A English B English C English D Bilingual A Bilingual B Bilingual C Bilingual D 6am-9am English 1 13.00 >= 6 9am-12n English 1 1 15.00 >= 10 12n-3pm English 1 1 11.00 >= 8 3pm-6pm English 1 1 […]

Problem 3-19 A and A (alt) B and B (alt) C and C (alt) D and D (alt) 5pm-7pm needs 1 1 14.00 >= 14 7pm-5am needs 1 1 10.00 >= 10 LHS Sign RHS 7am-5pm needs 1 1 16.00 […]

Start at 2am Start at 6am Start at 10am Start at 2pm Start at 6pm Start at 10pm 6pm-10pm needs 1 1 46.0 >= 29 10pm-2am needs 1 1 23.0 >= 23 2am-6am needs 1 1 15.0 >= 8 LHS […]

Start at 1am Start at 5am Start at 9am Start at 1pm Start at 5pm Start at 9pm 1pm-5pm needs 1 1 15.0 >= 10 5pm-9pm needs 1 1 12.0 >= 12 9pm-1am needs 1 1 5.0 >= 5 LHS […]

Problem 3-16 $1 Jack in 52 $2 Jack in 52 $4 Jack in 52 $1 Red Face in 52 $2 Red Face in 52 $4 Red Face in 52 $1 Face in 52 $2 Face in 52 $4 Face in […]

Problem 3-15 T-bills Intl mutual School bonds Cert of deposit Tax-Free munis Stock market Max total “liquid” 1 1 1 $70,000.00 <= $80,000.00 Max T-bills 1 $30,000.00 <= $50,000.00 Min T-bills 1 $30,000.00 >= $20,000.00 Min intl mutual 1 $60,000.00 […]

Low-inc mort Conv mort Govt mort Bond Stock Futures Max stock 1 $1,875.00 <= $1,875.00 Max futures 1 $1,250.00 <= $1,250.00 High risk 1 1 1 $6,250.00 <= $7,500.00 Non-mortgage 1 1 1 $4,375.00 >= $4,375.00 LHS Sign RHS Max […]

Problem 3-13 Miami M- bonds American Smart Car Green Earth Energy Rosslyn Drugs RealCo (Real Estate) Real Estate 1 $83,333.33 >= $50,000.00 > 10% Pharma 1 $50,000.00 >= $50,000.00 > 10% Municipal bonds 1 $100,000.00 >= $100,000.00 > 20% Automobile […]

Small Large Bumper Mailings Ads Total budget $25 $60 $30 $81 $1,000 90500.00 <= $90,500 Min small 1 100.00 >= 100 Min large 1 300.00 >= 50 Min bumper 1 40.00 >= 40 Min mailings 1 800.00 >= 500 Min […]

$1.00 coupon $0.85 coupon $0.70 coupon $0.55 coupon $0.40 coupon Number issued 4000.00 6500.00 1500.00 1500.00 1500.00 Min $1.00 coupon 1 4000.00 >= 3000.00 Min $0.70 coupon 1 1500.00 >= 1500.00 Min $0.85 coupon 1 6500.00 >= 1500.00 Min $0.55 […]

Problem 3-10 Paper Magazine TV Max Paper spend $1,000 $9,000.00 <= $9,000 Max Magazine spend $300 $9,000.00 <= $9,000 Max TV spend $2,000 $2,000.00 <= $9,000 LHS Sign RHS City 3.5% 0.5% 5.0% 51.50% >= 50% Suburbs 3.0% 1.0% 3.0% […]

M-Dem M-Rep M-Ind F-Dem F-Rep F-Ind Min M-Rep 1 1125.00 >= 450 Min M-Ind 1 450.00 >= 450 Min F-Dem 1 525.00 >= 450 Min F-Rep 1 675.00 >= 450 Min F-Ind 1 550.00 >= 450 Max Dem 1 1 […]

Gear A to make Gear B to make Gear C to make Gear D to make Gear A to buy Gear B to buy Gear C to buy Gear D to buy Constraints: Cost/Hr Forming 0.30 0.36 0.38 0.45 388.50 […]

W111 to make W222 to make W333 to make W111 to buy W222 to buy W333 to buy Min V512 prodn 1 2250.00 >= 2250.00 Min V612 prodn 1 1020.00 >= 1020.00 V412 demand 1 1 2000.00 >= 2000.00 V512 […]

Smartphone Blueberry MoPhone BoldPhone LuxPhone4G Tap3G Solution value 496.55 1241.38 0.00 0.00 0.00 0.00 Problem 3-6 Revenue $200.00 $120.00 $180.00 $130.00 $430.00 $260.00 $248,275.86 Material cost $35.00 $25.00 $40.00 $45.00 $170.00 $60.00 $48,413.79 Labor cost $3.65 $2.05 $4.50 $2.50 $10.20 […]

Itallian French Caribbean Number of units 116.67 60.00 350.00 Problem 3-5 Profit $72 $65 $78 $39,600.00 Constraints: Carpentry 3.00 2.25 2.50 1360.00 <= 1360 Painting 1.50 1.00 1.25 672.50 <= 700 Finishing 0.75 0.75 0.85 430.00 <= 430 Itallian 1 […]

Cheese Pepperoni Veggie Solution value 60.00 150.00 90.00 Problem 3-4 Profit $1.45 $1.75 $1.98 $527.70 Constraints Total pizzas 1 1 1 300.00 <= 350 Max cheese 1 60.00 <= 120 Max pepperoni 1 150.00 <= 150 Max veggie 1 90.00 […]

Junior Travel Deluxe Constraints Cost Finishing 0.18 0.24 0.20 456.00 <= 600 $8.50 Packing 0.20 0.20 0.20 450.00 <= 450 $7.25 Max Junior 1 1200.00 <= 1200 Max Travel 1 750.00 <= 1200 Max Deluxe 1 300.00 <= 1200 Min […]

New Yorker Garaboldi Kentuckian Russian Number of drinks 32.00 0.00 24.00 32.00 Problem 3-2 Obj coefficient 1 1 1 1 88.00 Constraints Bourbon 1 4 128.00 <= 128 Brandy 1 1 32.00 <= 128 Vodka 1 3 128.00 <= 128 […]

Problem 3-1 Canvas Plastic Nylon Leather Constraints Cost Nylon available 2.10 52.50 <= 700.0 $7.65 Leather available 2.60 104.00 <= 550.0 $9.45 Canvas & plastic labor 1.50 1.50 90.00 <= 90.0 $7.00 Nylon labor 1.70 42.50 <= 42.5 $8.00 Leather […]

Full time FT OT 5-6pm FT OT 6-7pm PT start @ 9am PT start @ 10am PT start @ 11am PT start @ 12n PT start @ 1pm PT start @ 2pm PT start @ 3pm PT leave @ 1pm […]

Problem 2-43 BBC CBC ABC $ invested $2,555.25 $1,139.50 $0.00 Investment 1 1 1 $3,694.75 Constraints Short term growth 0.39 0.26 0.42 $1,292.82 >= $1,000 Intermediate growth 1.59 1.70 1.45 $6,000.00 >= $6,000 Dividend income 0.08 0.04 0.06 $250.00 >= […]

Problem 2-42 Plain Mixed Premium Number of cans 375.00 400.00 100.00 Revenue $2.25 $3.37 $6.49 $2,840.75 Constraints: Peanuts 0.8 0.5 500.00 <= 500.00 Cashews 0.2 0.3 0.3 225.00 <= 225.00 Almonds 0.1 0.4 80.00 <= 100.00 Walnuts 0.1 0.4 80.00 […]

EC221 EC496 NC455 NC791 Minimum XJ201 1 20650.00 >= 150 Minimum XM897 1 100.00 >= 100 Minimum TR29 1 2750.00 >= 300 Minimum BR788 1 400.00 >= 400 LHS Sign RHS Assembly time 0.2 4.0 1.0 2.0 8080.00 <= 10000 […]

Problem 2-40 Print Jet Print Desk Print Pro Min Omega 1 287.13 >= 170.79 Min Rocket & Omega 1 1 455.45 >= 455.45 LHS Sign RHS Number of units 168.32 287.13 683.17 Profit $60 $90 $73 $85,811.88 Constraints Assembly time […]

Problem 2-39 Small Large Mini Min required, large 1 80.00 >= 80 Min required, mini 1 100.00 >= 100 LHS Sign RHS Min required, total 1 1 1 464.00 >= 350 Number of boxes 284.00 80.00 100.00 Rent $30 $40 […]

V231 V242 V784 V906 Inspection time 0.25 0.25 0.25 0.25 408.13 <= 525 Minimum X409 1 332.50 >= 200 Minimum X3125 1 250.00 >= 250 Minimum X4950 1 600.00 >= 600 Minimum X2173 1 450.00 >= 450 LHS Sign RHS […]

Feed X Feed Y Feed Z # of pounds 16.00 16.00 0.00 Problem 2-37 Cost $3.00 $4.00 $2.25 $112.00 Constraints Nutrient A needed 3 2 4 80.00 >= 64 Nutrient B needed 2 3 1 80.00 >= 80 Nutrient C […]

Pruned Regular Number of barrels 25.00 62.50 Problem 2-36 Revenue $20 $30 $2,375.00 Constraints: Labor hours 5 2 250.00 <= 250 Acres available 1 2 150.00 <= 150 Max pruned 1 25.00 <= 40 LHS Sign RHS Number of acres […]

Core Elective Courses 35.00 25.00 Wages $2,600 $3,000 $166,000 Problem 2-35 Constraints: Total courses 1 1 60.00 >= 60 Credit hours 3 4 205.00 >= 205 Min core 1 35.00 >= 20 Min elective 1 25.00 >= 20 LHS Sign […]

A B Steel available 120 100 24500.00 <= 24500.00 Zinc available 20 30 4550.00 <= 6000.00 Models A vs B 1 175.00 <= 175.00 LHS Sign RHS Problem 2-34 Number of units 175.00 35.00 Profit $90 $70 $18,200.00 Constraints:

Bench Table Number of units 175.00 50.00 Problem 2-33 Profit $9 $20 $2,575.00 Constraints: Labor hours 4 6 1000.00 <= 1000.00 Redwood 10 35 3500.00 <= 3500.00 Bench vs Table 1 175.00 >= 100.00 LHS Sign RHS