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whitebat914Lv1
27 Apr 2020
A small-appliance manufacturer finds that the profit
(in dollars) generated by producing
microwave ovens per week is given by the formula
provide that
How many ovens must be manufactured in a given week to generate a profit of $1250?
One ClassSolution:- Setting
and solving for
:
![](data:image/png;base64,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)
Multiplying by 10 on both sides:
![](data:image/png;base64,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)
Using the quadratic formula where
,
and
, we have:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Since he must have 0
so
is discarded.
He should make 50 ovens per week.
A small-appliance manufacturer finds that the profit (in dollars) generated by producing
microwave ovens per week is given by the formula
provide that
How many ovens must be manufactured in a given week to generate a profit of $1250?
One ClassSolution:- Setting and solving for
:
Multiplying by 10 on both sides:
Using the quadratic formula where ,
and
, we have:
Since he must have 0
so
is discarded.
He should make 50 ovens per week.
Hubert KochLv2
21 May 2020