Question
In: Advanced Math
A company manufactures Products A, B, and C. Each product is processed in three departments: I,...
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2 hours of work from Dept. I, 3 hours of work from Dept. II, and 2 hours of work from Dept. III.)
| Product A | Product B | Product C | |
|---|---|---|---|
| Dept. I | 2 | 1 | 2 |
| Dept. II | 3 | 1 | 2 |
| Dept. III | 2 | 2 | 1 |
| Profit | $54 | $36 | $45 |
How many units of each product should the company produce in order to maximize its profit?
| Product A | units |
| Product B | units |
| Product C | units |
What is the largest profit the company can realize?
$
Are there any resources left over? (If so, enter the amount
remaining. If not, enter 0.)
| labor in Dept. I | labor-hours |
| labor in Dept. II | labor-hours |
| labor in Dept. III | labor-hours |
Solutions
Colby Messinger answered 2 years agoRelated Solutions
A company manufactures Products A, B, and C. Each product is processed in three departments: I,...
A company manufactures Products A, B, and
C. Each product is processed in three departments: I, II,
and III. The total available labor-hours per week for Departments
I, II, and III are 900, 1080, and 840, respectively. The time
requirements (in hours per unit) and profit per unit for each
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I, II, and III are 900, 1080, and 840, respectively. The time
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Department
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Product 2
Product 3
A
1.50
3.00
2.00
B
2.00
1.00
2.50
C
0.25
0.25
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manufacturing operations in three departments: A, B, and C. The
labor-hour requirements, by department, are as follows:
Department
Product 1
Product 2
Product 3
A
3.00
2.00
1.50
B
1.00
2.50
2.00
C
0.25
0.25
0.25
During the next production period the labor-hours available are
450 in department A, 350 in department B, and 50 in department C.
The profit contributions per unit are $28 for product 1, $30 for
product 2,...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and...
Hart Manufacturing
makes three products. Each product requires manufacturing
operations in three departments: A, B, and C. The labor-hour
requirements, by department, are as follows:
Department
Product 1
Product 2
Product 3
A
3.00
2.00
1.50
B
1.00
2.50
2.00
C
0.25
0.25
0.25
During the next
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are summarized in the following table:
Department
Product
Preparation
Fabrication
Packaging
Testing
Unit
Profit
A
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3
1
.5
$450
D
1.0
3
1
.5
$550
B
1.5
1
2
1.0
$600
C
1.5
2
.5...
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Producing Departments
Power
General
Factory
Purchasing
Pesticide
Liquid
Fertilizer
Overhead
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$314,000
$167,000
$78,900
$107,800
Square feet
1,500
—
1,500
4,200
4,800
Machine hours
—
1,403
1,345
24,000
8,000
Purchase orders
20
40
7...
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A B
C
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$ 240
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72
32
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90 ...
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