Prairie Motels has a total of $3,400$ rooms in its chain of motels located in eastern Canada. On average, $55\%$ of rooms are occupied each day. The company's operating costs are $$39$ per month. This $$39$ contains both variable and fixed cost elements. During April, the occupancy rate dropped to only $40\%.$ A total of $ $2,013,480$ in operating costs was incurred during April.

Required:

Estimate the variable cost per occupied room per day $($ Do not round the intermediate calculation and round your final, answer to two decimal places$).$

Estimate the total fixed costs per month.

Assume that the occupancy rate increases to $55\%$ during May. What total operating cost would you expect the company to incur in May?