a manufacture determined a marginal cost function dc/dq below, where q is the number of units produced.If the marginal cost is $87.50 when q is 50 units and the fixed costs are $7000,what is the average cost of producing 500 units. dc/dq= 0.015q^2-0.6q+80
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OpenStudy (goformit100):
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OpenStudy (anonymous):
yes sure
OpenStudy (anonymous):
can you help me with this problem
OpenStudy (anonymous):
so you have a answer?
OpenStudy (anonymous):
right @shreeya13
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OpenStudy (anonymous):
no
OpenStudy (anonymous):
i want the solution
OpenStudy (anonymous):
can you help me with this?
OpenStudy (anonymous):
i can but that dc/dq in the end of question is the answer?
OpenStudy (anonymous):
no it is marginal cost fuction
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OpenStudy (anonymous):
about which we talked in first line that is given
OpenStudy (anonymous):
ok lemme see
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
i got it.....dc/dq= eqn in q
integrate wrt q of eqn in q
you know that its a indefinite integraion you'll get a Constant as c
you have to find c by putting q=50
then you'll get c..put that in that eqn and add 7000 then put q=500
OpenStudy (anonymous):
any idea what i said?
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OpenStudy (anonymous):
@shreeya13
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
thanx
OpenStudy (anonymous):
wait let me try
OpenStudy (anonymous):
try to ignore the first message!!! :P
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OpenStudy (anonymous):
it is giving the constant in negative
OpenStudy (anonymous):
wait...lemme see
OpenStudy (anonymous):
wait...whats the prob in negative cons?
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
3093212.5 is this the answer ?
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OpenStudy (anonymous):
i dint solved that...
OpenStudy (anonymous):
so do u want me to solve?
OpenStudy (anonymous):
yes please :)
OpenStudy (anonymous):
i got 589812.5
OpenStudy (anonymous):
what is your constant value
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OpenStudy (anonymous):
-187.5
OpenStudy (anonymous):
i think :D
OpenStudy (anonymous):
i m getting 3787.5 as when q=50 then marginal cost is 87.50
OpenStudy (anonymous):
are you sure with your integration part?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
its 0.005q^3-0.3q^2+80q+constant
OpenStudy (anonymous):
i got the same....maybe i got my calc wrong!! :D
OpenStudy (anonymous):
ok
i got the answer 593212.8
OpenStudy (anonymous):
so ur answer is right!!! :P
OpenStudy (anonymous):
thanx a lot for your help :)
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