If the following functions represent the revenue, R(x), from processing x units
ID: 3186113 • Letter: I
Question
If the following functions represent the revenue, R(x), from processing x units of a product, and the costs, C(x), of processing x units of a product.
Revenue function: R(x) = 30x
Cost function: C(x) = 12x + 200
Then what do the graphs of the Revenue, Cost and Profit functions look like? That is, what type of functions can R(x), C(x) and P(x) be classified as?
Polynomials of degree 2
Parabolas (curved functions)
Linear functions (lines)
Piecewise functions
A.Polynomials of degree 2
B.Parabolas (curved functions)
C.Linear functions (lines)
D.Piecewise functions
Explanation / Answer
R(x) = 30x
C(x) = 12x + 200
profit = revenue - cost
P(x) = 30x - 12x - 200
P(x) = 18x - 200
so, R(x) , C(x) and P(x) can be classified as linear functions
option c is correct