The u. s. treasury recently announced that harriet tubman will replace andrew jackson on the $20 bill. as is usual with such changes, it was not universally popular. tv anchor greta van susteren suggested that we should leave jackson on the $20 bill and instead create a new $25 bill featuring tubman. if van sustren’s plan were adopted, the u. s. currency would have the following denominations: $1, $2, $5, $10, $20, $25, $50, and $100. with this proposed set of denominations, would the greedy algorithm remain optimal for giving change (or would the u. s. public have to learn more advanced techniques)? prove your answer correct.