An amusement park charges $10 for admission. On average, 10,000 people visit the park each day. Suppose that for each $1 increase in the entrance price, the park loses 250 daily customers. (a) Complete the table to explore the relationship between price and revenue numerically. (b) Generalize the numerical pattern in the table to write a formulas for the number of patrons as a function of price and the revenue as a function of price. (c) What price should be charged to produce the maximum revenue? What is the maximum revenue? What number of patrons will visit the park? (a) Complete the table. Admission Attendance, Revenue R(p) price, p N(p) $10 $ $11 $12 $ (b) Write the formula for the number of patrons N if the price is p dollars. N(p) = Write the formula for the revenue when the price is p dollars. R(p) = (c) What price should be charged to produce the maximum revenue? What is the maximum revenue? What number of patrons will visit the park? The park will have a maximum revenue of $ patrons each pay S An amusement park charges $10 for admission. On average, 10,000 people visit the park each day. Suppose that for each $1 increase in the entrance price, the park loses 250 daily customers. (a) Complete the table to explore the relationship between price and revenue numerically. (b) Generalize the numerical pattern in the table to write a formulas for the number of patrons as a function of price and the revenue as a function of price. (c) What price should be charged to produce the maximum revenue? What is the maximum revenue? What number of patrons will visit the park? (a) Complete the table. Admission Attendance, Revenue R(p) price, p N(p) $10 $ $11 $12 $ (b) Write the formula for the number of patrons N if the price is p dollars. N(p) = Write the formula for the revenue when the price is p dollars. R(p) = (c) What price should be charged to produce the maximum revenue? What is the maximum revenue? What number of patrons will visit the park? The park will have a maximum revenue of $ patrons each pay S