Your company has a customer who is shutting down

(20 Points): Your company has a customer who is shutting down a production line, and it is your responsibility to dispose of the extrusion machine. The company could keep it in inventory for a possible future product and estimates that the reservation value is $250,000. Your dealings on the secondhand market lead you to believe that there is a 0.4 chance a random buyer will pay $300,000, a 0.25 chance the buyer will pay $350,000, a 0.1 chance the buyer will pay $400,000, and a 0.25 chance it will not sell. If you must commit to a posted price, what price maximizes profits?