Using shy or short to indicate shortage

I am hoping to gain a better understanding of how the words "shy" and "short" are used to indicate a shortage.

1. The order will be shy/short of 10 cases.

2. The order will be 10 cases shy/short.

3. We shorted the customer 10 cases.

4. We shorted the customer by 10 cases.

If someone could help critique the sentences above, that would be great.

Thanks in advance!