Tanner Park is a small amusement park that provides a variety of rides and outdoor activities for children and teens. In a typical summer season, the number of adult and children$$s tickets sold are $20,000$ and $10,000,$ respectively. Adult ticket prices are $$18$ and the children$$s price is $$10.$ Revenue from food and beverage concessions is estimated to be $$60,000,$ and souvenir revenue is expected to be $$25,000.$ Variable costs per person $($adult or child$)$ are $$3,$ and fixed costs amount to $$150,000.$

a$.$ Determine the profitability of this business.