Figure 25-1 Hassel Company manufactures two different products, X and Y. The company has 100 kgs of materials and 300 direct labour hours available for production. The time requirements and contribution margins per unit are as follows: \(\begin{array}{lrr}&\text { Product X }&\text { Product Y }\\ \text { Contribution margin per unit } & £ 4 & £ 5 \\ \text { Materials per unit (lbs.) } & 1 & 2 \\ \text { Direct labour hours per unit } & 4 & 2 \end{array}\) -Refer to Figure 25-1. What is the equation for the constraint on materials?

A) £1X + £2Y \(\le\)100 B) £4X + £2Y \(\le\)100 C) £4X + £5Y\(\le\)100 D) £4X + £5Y\(\le\)300 A) £1X + £2Y \(\le\)100 B) £4X + £2Y \(\le\)100 C) £4X + £5Y\(\le\)100 D) £4X + £5Y\(\le\)300 A

Figure 25-6 Anderson Company manufactures two different products: A and B. The company has 100 kgs of raw materials and 300 direct labour-hours available for production. The time requirements and contribution margins per unit are as follows: \(\begin{array}{lcr}&A&B\\ \text { Raw materials per unit (lbs.) } & 1 & 2 \\ \text { Direct-labour hours per unit } & 4 & 2 \\ \text { Contribution margin per unit } & E 4 & E 5 \end{array}\) -Refer to Figure 25-6. What is the objective function for Anderson Company?

A) Minimize £4A + £5B. B) Maximize £4A + £5B. C) Maximize £1A + £2B. D) Maximize £4A + £2B. A) Minimize £4A + £5B. B) Maximize £4A + £5B. C) Maximize £1A + £2B. D) Maximize £4A + £2B. B

Figure 25-3 Tiffany Manufacturing Company produces X and Y with contribution margins per unit of £10 and £90, respectively. Only 200 labour hours and 400 machine hours are available for production. Time requirements to produce one unit of X and Y are as follows: \(\begin{array}{cc} &\text { Product A } & \text { Product B } \\ \text { Labour hours per unit }&1&2 \\ \text { Machine hours per unit }&5&1 \end{array}\) -Refer to Figure 25-3. What is the objective function to maximize profits for Tiffany Manufacturing Company?

A) Minimize 10X + 90Y B) Maximize 1X + 2Y C) Maximize 10X + 90Y D) Minimize 1X + 2Y A) Minimize 10X + 90Y B) Maximize 1X + 2Y C) Maximize 10X + 90Y D) Minimize 1X + 2Y

Figure 25-6 Anderson Company manufactures two different products: A and B. The company has 100 kgs of raw materials and 300 direct labour-hours available for production. The time requirements and contribution margins per unit are as follows: \(\begin{array}{lcr}&A&B\\ \text { Raw materials per unit (lbs.) } & 1 & 2 \\ \text { Direct-labour hours per unit } & 4 & 2 \\ \text { Contribution margin per unit } & E 4 & E 5 \end{array}\) -Refer to Figure 25-6. What is the equation for the constraint on direct labour?

A) £1A + £2B < 300 B) £4A + £2B < 100 C) £4A + £5B < 100 D) £4A + £2B < 300 A) £1A + £2B < 300 B) £4A + £2B < 100 C) £4A + £5B < 100 D) £4A + £2B < 300

Figure 25-7 The following information is available for the Johnson Boat Company, which sells two products: \(\begin{array}{lcc} &\text { 3- Person Raft } & \text { Kayak } \\ &\text { (Variable } A \text { ) } & \text { (Variable B) }\\ \text { Selling price } & £ 50 & £ 80 \\ \text { Variable costs } & £ 35 & £ 50 \\ \text { Fixed costs (average) } & £ 10 & £ 20 \\ \text { Processing time } & 2 \text { hours } & 4 \text { hours } \\ \text { Vinyl cover used } & 16 \mathrm{sq} . \mathrm{ft} . & 12 \mathrm{sq} . \mathrm{ft} . \end{array}\) There are 100 hours available in the plant and 75 square metres of vinyl available per operating period. -Refer to Figure 25-7. The constraint equation representing the materials available for the production processes is:

A) 2A + 4B > 100. B) 16A + 12B = 75. C) 2A + 4B = 200. D) 16A + 12B 100. B) 16A + 12B = 75. C) 2A + 4B = 200. D) 16A + 12B < 75.

Figure 25-4 The following information is available for Wilson Trailer Company, which sells two products: \[\begin{array} { l c c } & \text { Trailer A } & \text { Trailer B } \\ \text { Processing time } & 2 \text { hours } & 4 \text { hours } \\ \text { Vinyl cover used } & 16 \text { sq. ft. } & 12 \text { sq. ft. } \\ \text { Selling price } & £ 50.00 & £ 80.00 \\ \text { Variable cost } & £ 35.00 & £ 50.00 \\ \text { Fixed cost } & £ 10.00 & £ 20.00 \end{array}\] There are 100 hours available in the plant and 75 square metres of vinyl available per operating period. -Refer to Figure 25-4. Which of the following statements is INCORRECT?

A) The materials constraint favours Trailer B over Trailer A. B) The time constraint favours Trailer A over Trailer B. C) The material constraint favours Trailer A over Trailer B. D) The objective function favours Trailer B over Trailer A. A) The materials constraint favours Trailer B over Trailer A. B) The time constraint favours Trailer A over Trailer B. C) The material constraint favours Trailer A over Trailer B. D) The objective function favours Trailer B over Trailer A.

Figure 25-1 Hassel Company manufactures two different products, X and Y. The company has 100 kgs of materials and 300 direct labour hours available for production. The time requirements and contribution margins per unit are as follows: \(\begin{array}{lrr}&\text { Product X }&\text { Product Y }\\ \text { Contribution margin per unit } & £ 4 & £ 5 \\ \text { Materials per unit (lbs.) } & 1 & 2 \\ \text { Direct labour hours per unit } & 4 & 2 \end{array}\) -Refer to Figure 25-1. What is the objective function for maximizing profits?

A) Minimize £4X + £5Y B) Maximize £4X + £5Y C) Maximize £1X + £2Y D) Maximize £4X + £2Y A) Minimize £4X + £5Y B) Maximize £4X + £5Y C) Maximize £1X + £2Y D) Maximize £4X + £2Y

Figure 25-4 The following information is available for Wilson Trailer Company, which sells two products: \[\begin{array} { l c c } & \text { Trailer A } & \text { Trailer B } \\ \text { Processing time } & 2 \text { hours } & 4 \text { hours } \\ \text { Vinyl cover used } & 16 \text { sq. ft. } & 12 \text { sq. ft. } \\ \text { Selling price } & £ 50.00 & £ 80.00 \\ \text { Variable cost } & £ 35.00 & £ 50.00 \\ \text { Fixed cost } & £ 10.00 & £ 20.00 \end{array}\] There are 100 hours available in the plant and 75 square metres of vinyl available per operating period. -Refer to Figure 25-4. The constraint equation representing the materials available for the production processes is

A) 2A + 4B \(\ge\) 100. B) 16A + 12B = 75. C) 2A + 4B = 200. D) 16A + 12B\(\le\) 75. A) 2A + 4B \(\ge\) 100. B) 16A + 12B = 75. C) 2A + 4B = 200. D) 16A + 12B\(\le\) 75.

Figure 25-5 The following information is available for Walters Furniture Company, which sells two products: \(\begin{array}{lcc} & \text { Table X } & \text { Table Y } \\ \text { Processing time } & 4 \text { hours } & 6 \text { hours } \\ \text { Metal used } & 30 \mathrm{sq} . \mathrm{ft} . & 18 \mathrm{sq} . \mathrm{ft} . \\ \text { Selling price } & £ 200.00 & £ 100.00 \\ \text { Variable cost } & £ 150.00 & £ 60.00 \\ \text { Fixed cost } & £ 30.00 & £ 30.00 \end{array}\) There are 200 hours available in the plant and 200 square metres of metal available per operating period. -Refer to Figure 25-5. What is the objective function for maximizing sales?

A) Maximize 200X + 100Y B) Maximize 180X + 90Y C) Maximize 50X + 40Y D) Minimize 200X + 100Y A) Maximize 200X + 100Y B) Maximize 180X + 90Y C) Maximize 50X + 40Y D) Minimize 200X + 100Y

Figure 25-7 The following information is available for the Johnson Boat Company, which sells two products: \(\begin{array}{lcc} &\text { 3- Person Raft } & \text { Kayak } \\ &\text { (Variable } A \text { ) } & \text { (Variable B) }\\ \text { Selling price } & £ 50 & £ 80 \\ \text { Variable costs } & £ 35 & £ 50 \\ \text { Fixed costs (average) } & £ 10 & £ 20 \\ \text { Processing time } & 2 \text { hours } & 4 \text { hours } \\ \text { Vinyl cover used } & 16 \mathrm{sq} . \mathrm{ft} . & 12 \mathrm{sq} . \mathrm{ft} . \end{array}\) There are 100 hours available in the plant and 75 square metres of vinyl available per operating period. -Refer to Figure 25-7. The objective function for this production situation is to:

A) maximize £15A + £30B. B) maximize £50A + £80B. C) maximize £35A + £50B. D) minimize £15A + £30B. A) maximize £15A + £30B. B) maximize £50A + £80B. C) maximize £35A + £50B. D) minimize £15A + £30B.