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Question: no change some country has coins in the amount of...

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No change! Some country has coins in the amount of 4¢ and 13¢. You need to pay a vendor for
some produce, but the vendor has no change. Our goal here is to determine which prices you
can pay exactly.

Please solve all parts A,B,C

(1) No change Some country has coins in the amount of 4C and 13G. You need to pay a vendor for some produce, but the vendor has no change Our goal here is to determine which prices you can pay exactly. (a) Experiment, in as organized a way as you can, to determine which small prices you can pay exactly. (b) You should find that the largest amount you cannot pay exactly is 35 Prove that you cannot pay 35e exactly. (A formal proof will use a bit of set up then a proof by exhaustion. The exhaustion part can be included in your answer to the last part.) (c) Prove that every price that is at least 36c can be paid exactly. (This should be a proof by strong induction.

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