Answer:
P(x)=-2x^2+34x+98
The cost function is given by c(x)=21x-98
And the revenue function is given by r(x)=55x-2x^2
The profit function is the difference of revenue function and the cost function. Mathematically, we can write
p(x)=r(x)-c(x)
Substituting the values, we get
p(x)=55x-2x^2-(21x-98)
p(x)=-2x^2 + 34x = 98
Therefore, the profit function is
p(x) = -2x^2 + 34x + 98
Step-by-step explanation:
