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A restaurant chain is considering raising the prices on their burgers. They have found that for every $ 1 increase, their customers will buy 50 fewer burgers each day. Say that the price of a burger is currently $ 9, and their customers buy 850 burgers per day.
a) Write a formula , which gives the price per burger (in dollars) after an increase of dollars per burger.

b) Write a formula , which represents the number of burgers the chain sells each day after an increase of dollars per burger.

c) Which of the following gives an interpretation of in real-world terms.

A. gives the daily revenue of the restaurant after an increase of dollars per burger.

B. gives the daily profit of the restaurant after an increase of dollars per burger.

C. gives the increase in profit after an increase of dollars per burger.

D. gives the total price of a burger after an increase of dollars per burger.

d) Find the approximate value of which maximizes .
dollars