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MrNeWBiE
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hello ..
A company will manufacture a total of 5000 units of its product at plants A and B. At plan A the unit cost for labor and material combined is 2.50 $, while at plant B it is 3.00 $. The fixed costs at plant A are 6000 $ and at plant B they are 8000 $. Between the two plants the company has decided to allot no more than 28,000 $ for total costs. What is the minimum number of units that must be produced at plant A ?
I want to confirm my steps if it's right ,,,,
A = # units produced at plant A
B = # units produced at plant B
A + B = 5000
B = 5000 - A
Cost for plant A: 2.50A + 6000
Cost for plant B: 3.00B + 8000
(2.5A + 6000) + (3.0B + 8000) = 28000
Homework Statement
A company will manufacture a total of 5000 units of its product at plants A and B. At plan A the unit cost for labor and material combined is 2.50 $, while at plant B it is 3.00 $. The fixed costs at plant A are 6000 $ and at plant B they are 8000 $. Between the two plants the company has decided to allot no more than 28,000 $ for total costs. What is the minimum number of units that must be produced at plant A ?
The Attempt at a Solution
I want to confirm my steps if it's right ,,,,
A = # units produced at plant A
B = # units produced at plant B
A + B = 5000
B = 5000 - A
Cost for plant A: 2.50A + 6000
Cost for plant B: 3.00B + 8000
(2.5A + 6000) + (3.0B + 8000) = 28000