Question

Need help with Calculus,
When the admission price for a baseball game was $5 per ticket, 40,000 tickets were sold. When the price was raised to $6, only 35,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $75,000 respectively.

(a) Find the profit P as a function of x, the number of tickets sold.

Find the marginal profits when 20,000 tickets were sold and when 40,000 tickets were sold.

Answer 1

P(x)=((x-40,000)*((5-6)/(40,000-35,000))+5)*x-(75,000+.1*x)
P(x)=price*quantity-cost

Answer 2

(x-40,000)*((5-6)/(40,000-35,000))+5 is the price, written in point slope form

Answer 3

Ok cause what i got was (-1/5000)x^2+10.9x-75000