Exam 25: The Application of Linear Programming to Management Accounting

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Using the graphic approach to linear programming, the solution is usually

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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: 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:   -Refer to Figure 25-1. What is the objective function for maximizing profits? -Refer to Figure 25-1. What is the objective function for maximizing profits?

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Figure 25-5 The following information is available for Walters Furniture Company, which sells two products: Figure 25-5 The following information is available for Walters Furniture Company, which sells two products:   There are 200 hours available in the plant and 200 square metres of metal available per operating period. -Refer to Figure 25-5. The constraint equation representing processing time available is There are 200 hours available in the plant and 200 square metres of metal available per operating period. -Refer to Figure 25-5. The constraint equation representing processing time available is

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Figure 25-2 Heft Company produces A and B with contribution margins per unit of £40 and £30, respectively. Only 500 labour hours and 300 machine hours are available for production. Time requirements to produce one unit of A and B are as follows: Figure 25-2 Heft Company produces A and B with contribution margins per unit of £40 and £30, respectively. Only 500 labour hours and 300 machine hours are available for production. Time requirements to produce one unit of A and B are as follows:   -Refer to Figure 25-2. What is the constraint on machine hours for Heft Company? -Refer to Figure 25-2. What is the constraint on machine hours for Heft Company?

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Figure 25-2 Heft Company produces A and B with contribution margins per unit of £40 and £30, respectively. Only 500 labour hours and 300 machine hours are available for production. Time requirements to produce one unit of A and B are as follows: Figure 25-2 Heft Company produces A and B with contribution margins per unit of £40 and £30, respectively. Only 500 labour hours and 300 machine hours are available for production. Time requirements to produce one unit of A and B are as follows:   -Refer to Figure 25-2. What is the objective function to maximize profits for Heft Company? -Refer to Figure 25-2. What is the objective function to maximize profits for Heft Company?

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Coffee Ltd.manufactures two different miniature models of furniture, a table and a chair. The company has 500 metres of lumber, 400 machine hours, and 600 direct labour hours available for production. The miniature tables and chairs provide £5 and £4 of contribution margin, respectively. The time and lumber requirements to build a miniature table or chair are as follows: Coffee Ltd.manufactures two different miniature models of furniture, a table and a chair. The company has 500 metres of lumber, 400 machine hours, and 600 direct labour hours available for production. The miniature tables and chairs provide £5 and £4 of contribution margin, respectively. The time and lumber requirements to build a miniature table or chair are as follows:   Required:  a. What is the objective function being maximized? b. What are the constraint equations? c. Graph the constraint equations. Identify the feasible region. d. What is the optimal solution? Required: a. What is the objective function being maximized? b. What are the constraint equations? c. Graph the constraint equations. Identify the feasible region. d. What is the optimal solution?

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Figure 25-7 The following information is available for the Johnson Boat Company, which sells two products: Figure 25-7 The following information is available for the Johnson Boat Company, which sells two products:   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: 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:

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Figure 25-4 The following information is available for Wilson Trailer Company, which sells two products: Figure 25-4 The following information is available for Wilson Trailer Company, which sells two products:   There are 100 hours available in the plant and 75 square metres of vinyl available per operating period. -Refer to Figure 25-4. What is the objective function for maximizing profits? There are 100 hours available in the plant and 75 square metres of vinyl available per operating period. -Refer to Figure 25-4. What is the objective function for maximizing profits?

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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: 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:   -Refer to Figure 25-6. What is the equation for the constraint on raw materials? -Refer to Figure 25-6. What is the equation for the constraint on raw materials?

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A linear programming problem has an objective function of 10X + 12Y. If the optimal solution provided by the model is to produce and sell 400 units of X and 1,000 units of Y, the expected return is

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