An accountant is identifying the profits for a company. The company’s revenues are represented by the function R(x)=30x+155 and the costs by C(x)=13x+2 , where x is the number of units sold. Build a profit function. (Hint: Profit can be found by subtracting cost from the revenue.
A. P(x)=17x+153
B. P(x)=43x+153
C. P(x)=-17x-153
D. P(x)=17x+157
To find the profit function, we subtract the cost function from the revenue function:
P(x) = R(x) - C(x)
P(x) = (30x + 155) - (13x + 2)
P(x) = 30x + 155 - 13x - 2
P(x) = 17x + 153
Therefore, the profit function is P(x) = 17x + 153.
The correct answer is A. P(x) = 17x + 153.
is this right
Yes, the correct profit function is P(x) = 17x + 153. This means that the company's profit is $17 per unit sold, with a constant profit factor of $153.
So, the correct answer is indeed A. P(x) = 17x + 153.