Archives: Solution Manual

Problem 2-32 T-notes M-bonds Max T-notes 1 $145,000 <= $175,000 Max risk score 2 3 605,000 <= 605,000 Min T-notes 1 $145,000 >= $125,000 LHS Sign RHS Amount available 1 1 $250,000 <= $250,000 Amount invested $145,000 $105,000 Return 8.00% […]

Problem 2-31 Small Large Min required, total 1 1 424.00 >= 350 Min required, large 1 80.00 >= 80 LHS Sign RHS Square feet available 0.50 0.85 240.00 <= 240 Number of boxes 344.00 80.00 Rent $30 $40 $13,520.00 Constraints:

Large Small Number of sheds 30.00 70.00 Problem 2-30 Rent $50 $20 $2,900.00 Constraints: Advt. budget $1 $1 $100.00 <= $100 Sq feet required 150 50 8000.00 <= 8000 Rental limit 1 30.00 <= 40 LHS Sign RHS

Regular LowFat Number of units 52.00 48.00 Problem 2-29 Profit $1.58 $1.65 $161.36 Constraints Espresso 1.00 1.00 100.00 <= 100.0 Skim Milk 1.25 60.00 <= 60.0 2% Milk 1 52.00 <= 60.0 Whipped Cream 0.5 26.00 <= 30.0 LHS Sign […]

Double Single Constraints Labor hours 3.2 2.4 960.00 <= 960 Single limit 1 200.00 <= 200 LHS Sign RHS Total limit 1 1 350.00 <= 400 Problem 2-28(a) Number of units 150.00 200.00 Revenue $225.00 $175.00 Direct labor cost $101.25 […]

Carolina South West $ invested $401.72 $2,750.79 Problem 2-27 Investment 1 1 $3,152.52 Constraints Short term appr 0.46 0.26 900.00 >= 900 3-year appr 1.72 1.93 6000.00 >= 6000 Dividend income 0.09 0.13 393.76 >= 300 LHS Sign RHS

Mission Rustic Problem 2-26 Number of units 80.00 0.00 Profit $910 $1,200 $72,800.00 Constraints: Materials 340 430 27200.00 <= 30000 Labor 15 20 1200.00 =1200 LHS Sign RHS

A B Number of units 24.00 84.00 Profit $13 $15 $1,572.00 Problem 2-25 Constraints: Wiring trime 3 2 240.00 <= 240 Drilling time 2 1 132.00 <= 210 Assembly time 1.5 0.5 78.00 <= 120 Min A Motors 1 24.00 […]

A B Constraints: Wiring time 3 2 240.00 <= 240 Drilling time 2 1 120.00 <= 210 Assembly time 1.5 0.5 60.00 <= 120 LHS Sign RHS Problem 2-24 Number of units 0.00 120.00 Profit $22 $15 $1,800.00

Internet Print Max Internet 1 10 <= 15 Print v Internet 1 50 <= 50 Min Internet 1 10 >= 5 LHS Sign RHS Problem 2-23 Number used 10.00 50.00 Exposure 200000 80000 6000000 Constraints: Budget available $3,000 $900 $75,000 […]

Problem 2-22 Carolina Other Aroma rating 2 1.2 99.00 >= 99.00 Min Carolina, pounds 1 33.75 >= 33.00 LHS Sign RHS Number of pounds 33.75 26.25 Cost $1.80 $0.60 $76.50 Constraints: Pounds per bag 1 1 60.00 =60.00

Problem 2-21 Painting Glazing Constraints: Collate time, minutes 1.8 2.0 1723.2 <= 1800 Min painting to print 1 624.0 >= 400 Min glazing to print 1 300.0 >= 300 LHS Sign RHS Print time, minutes 2.5 2.0 2160.0 <= 2160 […]

X Y Constraint 3 2 0.00 <= 7 Constraint 4 2 6.00 >= 7 LHS Sign RHS Solver reports infeasible solution. Constraint 2 4 5 12.00 <= 20 Problem 2-20 (1) Solution 3.00 0.00 Obj coeff 3 7 9.00 Constraints: […]

A B C Constraint 3 1 3.33 <= 5.00 Constraint 4 1 1.67 >= 1.67 LHS Sign RHS Constraint 2 0.5 0.5 0.5 3.33 <= 3.33 Problem 2-19 Solution 3.33 1.67 1.67 Obj coeff 20 25 30 158.33 Constraints: Constraint […]

X Y Solution 12.00 20.00 Obj coeff 4 7 188.00 Problem 2-18 Constraints: Constraint 1 3 6 156.00 >= 100 Constraint 2 10 2160.00 >= 160 Constraint 3 2 40.00 >= 40 Constraint 4 2 24.00 <= 75 LHS Sign […]

X Y Solution 3.00 5.60 Obj coeff 3 7 48.20 Problem 2-17 Constraints: Constraint 1 9 3 43.80 >= 36 Constraint 2 4 5 40.00 >= 40 Constraint 3 1 -1 -2.60 <= 0 Constraint 3 2 6.00 <= 6 […]

X Y Solution 24.00 4.00 Problem 2-16 Obj coeff 4 7 124.00 Constraints: Constraint 1 2 3 60.00 >= 60 Constraint 2 4 2 104.00 >= 80 Constraint 3 1 24.00 <= 24 LHS Sign RHS

X Y Solution 22.50 6.75 Problem 2-15 Obj coeff 4 3 110.25 Constraints: Constraint 1 2 4 72.00 <= 72 Constraint 2 3 6 108.00 >= 27 Constraint 3 -3 10 0.00 >= 0 LHS Sign RHS

X Y Constraint 3 1 7.00 <= 7 Constraint 4 2 -1 12.50 >= 3 LHS Sign RHS Constraint 1 5 2 38.00 <= 40 Constraint 2 3 6 30.00 <= 30 Problem 2-14 Solution 7.00 1.50 Obj coeff 4 […]

X Y Solution 2.30 3.90 Problem 2-13 Obj coeff 2 1 8.50 Constraints: Constraint 1 3 6 30.30 <= 32 Constraint 2 7 1 20.00 <= 20 Constraint 3 3 -1 3.00 >= 3 LHS Sign RHS

solutions as valid), there will be an infinite number of feasible combinations of decision variable values (unless of course, only a single solution satisfies all the constraints). In most cases, only one of these feasible solutions yields the optimal solution. […]

Ammonia Amm Phosphate Amm Nitrate Urea Hydro Acid Chlorine Caustic Soda Vinyl Chloride Urea 1 160.00 <= 160 Hydro acid 1 560.00 <= 560 Chlorine 1 1,200.00 <= 1200 Caustic soda 1 423.20 <= 1280 Vinyl chloride 1 840.00 <= […]

Objective function: Maximize profit = 80X1 + 120X2 + 140X3 + 140X4 + 90X5 + 70X6 + 60X7 + 90X8 CHAPTER 2 LINEAR PROGRAMMING MODELS: GRAPHICAL AND COMPUTER METHODS Internet Case Study: Agri Chem Corporation This case demonstrates an interesting […]

W75C W33C W5X W7X Packaging time 1 3 2 $2,300.0 <= 2300 W75C orders 1 $1,100.0 <= 1400 W33C orders 1 $250.0 <= 250 W5X orders 1 $0.0 <= 1510 W7X orders 1 $600.0 <= 1116 Minimum W75C 1 $1,100.0 […]

C-30 C-92 D-21 E-11 Constraints E-11 >= 15% 1 27.50 >= 7.5 C-92 & C-30 >= 45% 1 1 22.50 >= 22.5 D-21 & C-92 <= 30% 1 1 15.00 <= 15.0 LHS Sign RHS 50-lbs required 1 1 1 […]

Problem 1-30 Proposal A Proposal B Known parameters: Known parameters: Selling price per unit $18.00 Selling price per unit $18.00 Fixed cost $65,000.00 Fixed cost $34,000.00 Variable cost per unit $10.00 Variable cost per unit $14.00 Input Data Input Data […]

Problem 1-29 Machine A Machine B Known parameters: Known parameters: Selling price per unit $28.00 Selling price per unit $28.00 Fixed cost $75,000.00 Fixed cost $62,000.00 Variable cost per unit $16.00 Variable cost per unit $20.00 Input Data Input Data […]

Problem 1-28 Manual process Mechanized process Known parameters: Known parameters: Selling price per unit $2.50 Selling price per unit $2.50 Fixed cost $43,400.00 Fixed cost $84,600.00 Variable cost per unit $1.80 Variable cost per unit $1.30 Input Data Input Data […]

Problem 1-27 With current equipment With new equipment Known parameters: Known parameters: Selling price per unit $1.10 Selling price per unit $1.20 Fixed cost $15,500.00 Fixed cost $23,500.00 Variable cost per unit $0.60 Variable cost per unit $0.70 Input Data […]

Problem 1-26 Without salary With salary Known parameters: Known parameters: Selling price per unit $34.00 Selling price per unit $34.00 Fixed cost $190,000.00 Fixed cost $230,000.00 Variable cost per unit $18.00 Variable cost per unit $18.00 Input Data Input Data […]

Problem 1-25 Known parameters: Selling price per unit $6.00 Fixed cost $23,000.00 Variable cost per unit $3.82 Input Data Number of units, X 10550 Results Total revenue $63,302.75 Fixed cost $23,000.00 Total variable cost $40,302.75 Total cost $63,302.75 Profit $0.00

Problem 1-24 Students Tuition Total Members 900.00 $8,000 $7,200,000 Non-members 333.33 $9,000 $3,000,000 Tuition Dollars $10,200,000 Budget $15,000,000 Church appropriation $4,800,000 Tuition funds needed $10,200,000 Recruit 34 more non-member students, for a total of 334.

Problem 1-23 Students Tuition Total Members 960 $8,000 $7,680,000 Non-members 240 $10,500 $2,520,000 Tuition Dollars $10,200,000 Budget $15,000,000 Church appropriation $4,800,000 Tuition funds needed $10,200,000 Tuition for non-member students would be $10,500.

Problem 1-22 Students Tuition 1,200 $8,500 Tuition Dollars $10,200,000 Budget $15,000,000 Church appropriation $4,800,000 Tuition funds needed $10,200,000 The new tuition will have to be $8,500. Hence, tuition will have to be increased by $500.

Problem 1-21 Refurbish old equipment Make major modifications Purchase new equipment Known parameters: Known parameters: Known parameters: Selling price per unit $10.00 Selling price per unit $10.00 Selling price per unit $10.00 Fixed cost $70,000.00 Fixed cost $135,000.00 Fixed cost […]

Problem 1-20 With current equipment With new equipment Known parameters: Known parameters: Selling price per unit $1.10 Selling price per unit $1.10 Fixed cost $15,500.00 Fixed cost $23,500.00 Variable cost per unit $0.60 Variable cost per unit $0.70 Input Data […]

Problem 1-19 Known parameters: Selling price per unit $0.06 Fixed cost $15,000.00 Variable cost per unit $0.02 Input Data Number of units, X 375000 Results Total revenue $22,500.00 Fixed cost $15,000.00 Total variable cost $7,500.00 Total cost $22,500.00 Profit $0.00

manufacturing and service sectors. For example, deciding how many sections of a course to offer during a semester can be modeled as a deterministic model since the costs and benefits of offering each section are known. Probabilistic (also called stochastic) […]