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

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Objective function is Z = 3X+12Y

i need help with direct labor time constraint please

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
Uno
Unit sales
$13.00
Less variable cost:
$ 7.00
Direct material
Direct labor
$ 5.00
1.00
6.00
Variable overhead
1.25
7.50
Variable selling and administrative cost
0.75
0.50
Total variable cost
$10.00
$19.00
Unit contribution margin
$ 3.00
$12.00
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
hours per unit.
Required:
Formulate the production planning problem as a linear program, assuming X, Y > 0. X denotes Uno and Y denotes Dos.
2. Identify the objective function.
3. Identify the constraints.
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 2 Required 3
Identify the constraints. (Round your answers to 2 decimal places.)
Direct-labor time
1.00 O x
6.00
Y
10,000
+
constraint
Machine time
constraint
Y
1.00
2.00
8,000
+
< Required 2
Required 3 >
Transcribed Image Text: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 Uno Unit sales $13.00 Less variable cost: $ 7.00 Direct material Direct labor $ 5.00 1.00 6.00 Variable overhead 1.25 7.50 Variable selling and administrative cost 0.75 0.50 Total variable cost $10.00 $19.00 Unit contribution margin $ 3.00 $12.00 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 hours per unit. Required: Formulate the production planning problem as a linear program, assuming X, Y > 0. X denotes Uno and Y denotes Dos. 2. Identify the objective function. 3. Identify the constraints. Answer is complete but not entirely correct. Complete this question by entering your answers in the tabs below. Required 2 Required 3 Identify the constraints. (Round your answers to 2 decimal places.) Direct-labor time 1.00 O x 6.00 Y 10,000 + constraint Machine time constraint Y 1.00 2.00 8,000 + < Required 2 Required 3 >
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