a laser tag center charges $50 to set up a party, and $75 per hour. the center pays its employees that work…

a laser tag center charges $50 to set up a party, and $75 per hour. the center pays its employees that work the party a total of $35 per hour. complete parts a through c below. (do not include the $ symbol in your answer. do not factor.) b. write a function g that represents the expenses for a party that runs for x hours. g(x)= (do not include the $ symbol in your answer.) c. write a combined function that represents the amount of profit the laser tag center makes on a party that runs x hours. select the correct choice below, and fill in the answer box to complete your choice. (simplify your answer.) a. the profit function is (f - g)(x)= b. the profit function is (f + g)(x)= c. the profit function is (f * g)(x)= d. the profit function is (f / g)(x)=

a laser tag center charges $50 to set up a party, and $75 per hour. the center pays its employees that work the party a total of $35 per hour. complete parts a through c below. (do not include the $ symbol in your answer. do not factor.) b. write a function g that represents the expenses for a party that runs for x hours. g(x)= (do not include the $ symbol in your answer.) c. write a combined function that represents the amount of profit the laser tag center makes on a party that runs x hours. select the correct choice below, and fill in the answer box to complete your choice. (simplify your answer.) a. the profit function is (f - g)(x)= b. the profit function is (f + g)(x)= c. the profit function is (f * g)(x)= d. the profit function is (f / g)(x)=

Answer

Explanation:

Step1: Define cost - function

The setup cost is $50 and the per - hour cost is $75. So the cost function $g(x)$ for a party that runs for $x$ hours is the sum of the setup cost and the per - hour cost times the number of hours. The cost function $g(x)=50 + 75x$.

Step2: Define revenue function

The center pays its employees $35$ per hour. Let's assume the revenue per hour is not given explicitly, but if we consider the money received from customers, and assume the revenue per hour is $r$ (not relevant for the profit - cost relationship in terms of the given employee cost). The money paid to employees for $x$ hours is $35x$. Let's assume the revenue from customers for $x$ hours of the party is $f(x)$. If we consider the cost of running the party and paying employees, the profit function $P(x)$ is the revenue minus the cost. The cost of running the party is $g(x)=50 + 75x$ and the cost of paying employees is $35x$. The total cost is $C(x)=50+(75 + 35)x=50 + 110x$. If we assume the revenue from customers for $x$ hours of the party is $f(x)$, the profit function is $P(x)=f(x)-g(x)$.

Answer:

b. $g(x)=50 + 75x$ c. A. The profit function is $(f - g)(x)$