select the correct answer. the monthly rent for a pizza parlor is $1,200. the average production cost per…

select the correct answer. the monthly rent for a pizza parlor is $1,200. the average production cost per pizza is $6.75. the monthly expenses for the pizza parlor are given by the function e(x)=1,200 + 6.75x, where x is the number of pizzas sold. for x pizzas sold, the pizza parlors revenue is given by the function r(x)=12.5x. the monthly profit of the pizza parlor is the difference between its revenue and its expenses. which function represents the monthly profit, p(x)? o a. p(x)=5.75x - 1,200 o b. p(x)=1,200 + 19.25x o c. p(x)=5.75x + 1,200 o d. p(x)=6.25x - 1,200 reset next
Answer
Answer:
A. $P(x)=5.75x - 1200$
Explanation:
Step1: Recall profit - revenue - expense formula
$P(x)=R(x)-E(x)$
Step2: Substitute given functions
$P(x)=12.5x-(1200 + 6.75x)$
Step3: Distribute the negative sign
$P(x)=12.5x-1200 - 6.75x$
Step4: Combine like - terms
$P(x)=(12.5x-6.75x)-1200=5.75x - 1200$