A local PBS station has decided to produce a TV series on animal welfare. The producer of the TV series, Lakeisha Willis, is currently attempting to analyze feasibility of the projected costs for the series. Willis intends to send a TV production crew on location to shoot various agricultural and food processing scedes as they occur. If the four$-$week series is shown in the $8$:$00-9$:$00$ P$.$M$.$ prime$-$time slot, the station will have to cancel a wildlife show that is currently scheduled. Management projects a $10$ percent viewing audience for the wildlife show, and each $1$ percent is expected to bring in donations of $$11,000.$ In contrast, the animal welfare show is expected to be watched by $15$ percent of the viewing audience. However, each $1$ percent of the viewership will likely generate only $$4,000$ in donations. If the wild life show is canceled, it can be sold to network television for $$50,000.$