$1.$ Floataway Tours has $\backslash (\backslash$$ $420,000\backslash )$ that can be used to purchase new rental boats for hire during the summer. The boats can be purchased from two different manufacturers. Floataway Tours would Iike to purchase at least $50$ boats and would like to purchase the same number from Sleek boat as from Racer to maintain goodwill. At the same time, Floataway Tours wishes to have a total seating capacity of at least $200.$ Formulate the problem: expected daily profit : $80707590$