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Question 1192654: 2.A fertilizer producing company has two plants where the product is made. Plant A can make at most 30 tons per month and plant B can make at most 40 tons per month. The company wants to make at least 50 tons per month. The process produces a particulate matter in the atmosphere as observed over a nearby town. It is found that 20 pounds of the particulate matter for each ton made by plant A and 30 pounds for each ton of the product made at plant B. How many tons should be made each month from each plant to minimize the amount of particulate matter in the atmosphere.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
A fertilizer producing company has two plants where the product is made.
Plant A can make at most 30 tons per month and plant B can make at most 40 tons per month.
The company wants to make at least 50 tons per month.
The process produces a particulate matter in the atmosphere as observed over a nearby town.
It is found that 20 pounds of the particulate matter for each ton made by plant A
and 30 pounds for each ton of the product made at plant B.
How many tons should be made each month from each plant to minimize the amount of particulate matter in the atmosphere.
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This problem is for common sense and mental solution.
From the condition, it is clear that as many as possible production should be made at
the plant A, since it is more ecologically clean, and the rest can be (and should be) made
at the plane B.
ANSWER. 30 tons at plant A and the rest 20 tons at plant B.
Solved.
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