Heathrow Airport Holdings is a private company that operates Heathrow Airport in London. Suppose the company recently commissioned your consulting team to prepare areport on traffic congestion at Heathrow. Your report indicates that Heathrow is more likely to experience significant congestion between July and September than at other times of the year.

Based on your estimates, demand is Q_d¹=600 - 0.25P,

where Q_d¹is quantity demanded for runway time slots between July and September.

Demand during the remaining nine months of the year isQ_d²= 220 - 0.1P,

whereQ_d²is quantity demanded for runway time slots.

The additional cost Heathrow Airport Holdings incurs each time one of the 80 different airlines utilizes the runway is 1,100 provided 80 or fewer airplanes use therunway on a given day. Heathrow's capacity is 80 airplanes a day and they cannot handle more than that number.Heathrow Airport Holdings currently charges airlines a uniform fee of 1,712.50 each time the runway is utilized. As a consultant to Heathrow Airport Holdings, devise a pricing plan that would enhance the company's profitability.