Respuesta :
Answer:
The cost is given by [tex]C(n) = 318 + 0.44n[/tex].
The revenue is given by [tex]R(n) = 2.21n[/tex].
The profict is given by: [tex]P(n) = 1.77n - 318[/tex]
The resulting profit if they sell 99 servings of pasta is of -$142.77, that is, there is a loss of $142.77.
Step-by-step explanation:
Cost:
The expenses the group will incur are the cost of the pasta, $0.44 per serving, and the $318 cost of renting the facility for the evening.
This means that the cost of n servings is given by:
[tex]C(n) = 318 + 0.44n[/tex]
Revenue:
The group will charge $2.21 per serving of pasta.
This means that the revenue of selling n servings is given by:
[tex]R(n) = 2.21n[/tex]
Profit:
The profit is given by the cost subtracted by the revenue. So
[tex]P(n) = R(n) - C(n)[/tex]
[tex]P(n) = 2.21n - (318 + 0.44n)[/tex]
[tex]P(n) = 2.21n - 0.44n - 318[/tex]
[tex]P(n) = 1.77n - 318[/tex]
What will be the resulting profit if they sell 99 servings of pasta?
This is P when [tex]n = 99[/tex]. So
[tex]P(99) = 1.77*99 - 318 = -142.77[/tex]
The resulting profit if they sell 99 servings of pasta is of -$142.77, that is, there is a loss of $142.77.
