D23 K Question 8 of 9 sydney schaeffer 03/27/23 8:50 PM ? This test: 50 point(s) possible This question: 13 point(s) possible Submit test An amusement park is considering charging $14 for admission. When that is the admission price, 10,000 people visit the park each day. Suppose that for each $1 increase in the price of admission, 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 customers as a function of price (p) and the revenue as a function of price (p). (c) What price should be charged to produce the maximum revenue? What is the maximum revenue? What number of customers will visit the park? 2 (a) Complete the table. Admission price, p Number of customers, Revenue R(p) N(p) $14 $15 S 69 $16 $ 69 (b) Write the formula for the number of customers 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 customers will visit the park? The park will have a maximum revenue of $ if customers each pay $ FOR F2 # 3 80 F3 4 $ 888 F4 % 205 F5 96 MacBook Air W E R T Y 7 AAQ F7 U * 00 8 DII AA FB F9 9 O D Time Remaining: 02:25:38 Next F10 F11 + 11 F12 O P { } [ ] S D F G H J K L < X C V B N M H command Y ? option delete