Answer(a):
We have been given two functions f(x)=100+3x and g(x)=8x.
Now we need to decide which one of them is cost function and which one is the revenue function.
We know that production usually involves fixed cost for operating the production so usually that is of the form y=mx+b.
Hence f(x)=100+3x is the cost function
Answer(b):
Then g(x)=8x is the revenue function.
Answer(c):
We know that profit function is the difference of revenue and cost
Profit = Revenue - Cost
P(x)= g(x) - f(x) =8x-(100+3x)
P(x)= 8x-100-3x
P(x)= 5x-100
Hence P(x)= 5x-100 is the profit function.
Answer(d):
P(x)= 5x-100 is the profit function.
