Question $4$: $($worth $54$ points$)$ John often sells varlous Items on eBay for extra cash. He is attempting to mail one of his recently sold items at the post office. He has a pouch of stamps left over from previous mailings and he desires to use those to mail the package while minimizing the total number of stamps affixed to the package. The post office has measured and weighed the package and determined that the cost to mail the package will be $$4\mathrm{.}27.$ He has the following stamp quantities and denominations in his pouch: $6$ @ $56$ cents, $4$ @ $2$ cents, $2$ @ $58$ cents, $5$ @ $1$ cent, and $3$ @ $$2\mathrm{.}00.$