Porisma

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Use discrete fine rates to choose the feasible solution

Ace borrowed 10 books and 3 audio-visual items. Overdue fines per day are xx cents per book and yy cents per audio-visual item, each a multiple of 5 cents. Four days after the due date, he realises at school that none has been returned. He has kk books and no audio-visual items with him.

Option A: Return these kk books on his way home and the remaining books and audio-visual items the following day; total fine $14.55.

Option B: Return all items the following day; total fine $15.

Using this information, find xx and yy.

[2020/HCI/Promo/I/3]

CJC · Lecture · Example 9

The difference between options is one day’s fine on exactly k books. Work in cents throughout.

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