Exercise 14-42 Linear Programming (Appendix) (LO 14-6, 14-8) Duo Company manufactures two products, Uno and Dos. Contribution margin data follow. Dos $31.00 Unit sales Less variable cost: Direct material Direct labor Variable overhead Variable selling and administrative cost Total variable cost Unit contribution margin Assume that the direct-labor rate is $24 per hour, and 10,000 labor hours are available per year. In addition, the company has a sh supply of machine time. Only 8,000 hours are available each year. Uno requires 1 machine hour per unit, and Dos requires 2 mach mours per unit. 2. Identify the objective function. 3. Identify the constraints. Required: Formulate the production planning problem as a linear program, assuming X, Y ≥ 0. X denotes Uno and Y denotes Dos. Direct-labor time constraint Machine time constraint Uno $13.00 Complete this question by entering your answers in the tabs below. 1.00 $ 7.00 $5.00 1.00 6.00 1.25 7.50 0.75 0.50 $10.00 $19.00 $ 3.00 $12.00 Required 2 Required 3 Identify the constraints. (Round your answers to 2 decimal places.) 1.00 Answer is complete but not entirely correct. X + X + < Required 2 6.00 Y 2.00 Y M 10,000 8,000 Required 3
Exercise 14-42 Linear Programming (Appendix) (LO 14-6, 14-8) Duo Company manufactures two products, Uno and Dos. Contribution margin data follow. Dos $31.00 Unit sales Less variable cost: Direct material Direct labor Variable overhead Variable selling and administrative cost Total variable cost Unit contribution margin Assume that the direct-labor rate is $24 per hour, and 10,000 labor hours are available per year. In addition, the company has a sh supply of machine time. Only 8,000 hours are available each year. Uno requires 1 machine hour per unit, and Dos requires 2 mach mours per unit. 2. Identify the objective function. 3. Identify the constraints. Required: Formulate the production planning problem as a linear program, assuming X, Y ≥ 0. X denotes Uno and Y denotes Dos. Direct-labor time constraint Machine time constraint Uno $13.00 Complete this question by entering your answers in the tabs below. 1.00 $ 7.00 $5.00 1.00 6.00 1.25 7.50 0.75 0.50 $10.00 $19.00 $ 3.00 $12.00 Required 2 Required 3 Identify the constraints. (Round your answers to 2 decimal places.) 1.00 Answer is complete but not entirely correct. X + X + < Required 2 6.00 Y 2.00 Y M 10,000 8,000 Required 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Objective function is Z = 3X+12Y
i need help with direct labor time constraint please
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