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Mandy finds she can get a discount on corn cobs if she buys in bulk. She can get 100 kilograms ofcorn cobs for $160 from Matt, on condition that she buys at least 100 kilograms. From anothersupplier, Robert, she can buy small quantities of corn cobs (100 or less) for $1 per cob or largerquantities (more than 100) for $0.60 per cob. Mandy charges all of her customers by weight, so shegets $5 per kilogram of corn cobs or $1.25 for an individual corn cob. If Mandy is going to sell over100 kilograms of corn cobs today, what is the best profit per corn cob she can make?

Question

Mandy finds she can get a discount on corn cobs if she buys in bulk. She can get 100 kilograms ofcorn cobs for 160fromMatt,onconditionthatshebuysatleast100kilograms.Fromanothersupplier,Robert,shecanbuysmallquantitiesofcorncobs(100orless)for160 from Matt, on condition that she buys at least 100 kilograms. From anothersupplier, Robert, she can buy small quantities of corn cobs (100 or less) for 1 per cob or largerquantities (more than 100) for 0.60percob.Mandychargesallofhercustomersbyweight,soshegets0.60 per cob. Mandy charges all of her customers by weight, so shegets 5 per kilogram of corn cobs or $1.25 for an individual corn cob. If Mandy is going to sell over100 kilograms of corn cobs today, what is the best profit per corn cob she can make?

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Solution

To answer this question, we first need to determine the cost per kilogram or per cob from each supplier and then compare it to the selling price to find out the profit.

  1. From Matt, Mandy can buy 100 kilograms of corn cobs for 160.Thismeansthecostperkilogramis160. This means the cost per kilogram is 160/100 = $1.60 per kilogram.

  2. From Robert, Mandy can buy corn cobs for $0.60 per cob for quantities more than 100. We don't know the weight of an individual corn cob, so we can't directly compare this to the price from Matt.

  3. Mandy sells corn cobs for 5perkilogramor5 per kilogram or 1.25 per individual cob.

Now, let's calculate the profit:

  1. If Mandy buys from Matt, her profit per kilogram would be 55 - 1.60 = $3.40.

  2. If Mandy buys from Robert, her profit per cob would be 1.251.25 - 0.60 = $0.65.

Without knowing the weight of an individual corn cob, we can't directly compare these profits. However, if we assume that a corn cob weighs less than 1 kilogram (which is a reasonable assumption), then Mandy would make more profit per cob if she buys from Matt, because 3.40perkilogramismorethan3.40 per kilogram is more than 0.65 per cob.

So, the best profit per corn cob she can make would be if she buys from Matt, assuming a corn cob weighs less than 1 kilogram.

This problem has been solved

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