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 $\mathrm{.}2($largest weight is for the most recent data$)?$

Month

Demand

Forecast

January $,40$

February $,45$

March $57$

April

$60$

May

$75$

June

$87$

$66\mathrm{.}90$

$78\mathrm{.}00$

$50\mathrm{.}00$

$56\mathrm{.}10$

$69\mathrm{.}90$