The Baldwin Company, in its master budget for $2022,$ predicted total sales of $$175,000,$ variable costs of $$55,500,$ and fixed costs of $$56,500($$$25,500$ manufacturing and $$31,000$ nonmanufacturing$).$ Actual sales revenue for $2022$ turned out to be $$157,000.$ Actual costs were as follows: variable, $$55,500,$ and fixed, $$57,500.(1)$ What was the total master $($static$)$ budget variance for $2022?(2)$ Was this total variance favorable $($F$)$ or unfavorable $($U$)?$