ShmoopTube

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Thank you We sneak in then here's your shmoop du

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jour brought to you by toenail clippers if they seem

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popular it's probably just because they spend so much time

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hanging out with fun guy useless things ink is trying

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to maximize profit of its new diesel powered toenail clippers

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Their research says that sails very linearly with price The

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number of sales equals three thousand minus forty acts where

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x is the price it cost twenty five bucks to

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make each clipper and their profit equals the money from

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sales of clippers minus the money it cost to make

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the clippers which formula below is the right one toe

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help Useless things inc maximise their profits And here the

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potential answers Are there the equation All right well first

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of all we think the founder of the company picked

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an awful name They're really selling themselves short with the

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whole useless things angle diesel power Toenail clippers would be

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totally useful if they not met our uncle irwin Really

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Come on people All right To find out how much

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money they got from sales before we take the cost

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of the clippers into account we need to know how

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Many clippers were sold so that three thousand minus forty

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ex clippers sold times the price of each clipper which

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we're told his ex ex dollars from that will have

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to subtract the cost of the clippers Since these things

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don't grow on trees for the cost we can take

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the same expression we used to represent the number of

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clippers three thousand minus forty x times the cost of

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each clipper which we're told is twenty five bucks All

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right all together now the profit will be the quantity

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three thousand minus forty x time's acts minus the quantity

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three thousand minus forty x times twenty five now it

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could just multiply the terms and we get three thousand

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x minus forty x squared minus seventy five thousand plus

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a thousand x wow this is some really big numbers

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certainly bigger numbers than these clippers put up Okay let's

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combine terms and rearrange all this stuff into a more

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sensible order Negative forty x squared plus four thousand x

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minus seventy five thous is it much better and a

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perfect match for option a which is our final answer

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We're feeling awfully good about ourselves after coming up with

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the correct solution In fact we're going to reward ourselves

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by buying a new pair of stainless steel pants It's 00:02:14.33 --> [endTime] a one of useless things Biggest sellers

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