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Mathematics 7 Online
OpenStudy (anonymous):

story problem! please help! question attached.

OpenStudy (anonymous):

OpenStudy (rulnick):

550 = 0.02x x = 27500

OpenStudy (rulnick):

with a cost of ...

OpenStudy (rulnick):

$22,765,900

OpenStudy (rulnick):

if you'll hang on, I'll double-check

OpenStudy (anonymous):

absolutely! you rock!

OpenStudy (anonymous):

2800 per day and 606$ per x box

OpenStudy (rulnick):

It's actually a trick Q, I think. Min cost at 0, total cost $0.

OpenStudy (rulnick):

Because my answer above should have been x=-27500 with a "neg cost," namely -$22,765,900.

OpenStudy (rulnick):

But the question says "min average cost," so again, hang on (ugh) ...

OpenStudy (anonymous):

expression for the average cost becomes c(x)/x

OpenStudy (anonymous):

actually lucifer did get it right!

OpenStudy (rulnick):

Average cost is C(x)/x, so we want to minimize 78400/x + 550 + .01x.

OpenStudy (rulnick):

And, yup, I agree, 2800 and $606. Yay, lucifur.

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