What is the forecast for July based on a three$-$month weighted moving average applied to the following past demand data and using the weights: $\mathrm{.}5,\mathrm{.}3,$ and $.2($largest weight is for the most recent data$)?$

Month

Demand

Forecast

January $,40$

February $,45$

March $,57$

April $,60$

May $,75$

June $,87$

$50\mathrm{.}00$

$56\mathrm{.}10$

$69\mathrm{.}90$

$78\mathrm{.}00$

$66\mathrm{.}90$