West Coast Hotel has $150$ rooms. The occupancy rate varies between $50\%$ and $90\%$ per month, but the average occupancy rate is generally $80\%.$ In other words, on average, $80\%$ of the hotel$$s rooms are occupied by guests. At this level of occupancy, the hotel$$s operating costs are $$86$ per occupied room per day, assuming a $30-$day month. This $$86$ figure contains both variable and fixed cost elements. This average cost figure drops to $$81$ when the occupancy rate is $90\%($typically during the months of July and August$).$

During June, the hotel$$s occupancy rate was only $50\%$ and a total of $$260,400$ in operating costs was incurred during the month. Using the high$-$low method, estimate the total fixed operating costs per month. $2.$ Assume an occupancy rate of $70\%$ per month. What amount of total operating cost would you expect the hotel to incur?