Ed's utility from vegetables $($V$)$ and marshmallows $($M$)$ is given by the function U$($V$,$M$)=$ v$1/2$M$2.$ Last year, the price of vegetables was $$8$ and the price of marshmallows was $$2.$ This year, the price of vegetables dropped to $$2,$ the price of marshmallows remained the same. Both years, Ed had an income of $$16.$