Answer:
P(x)= -0.6x^3 + 500x^2
Step-by-step explanation:
given data
monthly cost
C(x) = 400x^2 + 300x
revenue is
R(x) = -0.6x^3 + 900x^2 – 400x + 700,
where x is in thousands of boxes sold.
we know that the profit is the difference between the revenue and the cost.
therefore P(x)=R(x)-C(x)
P(x)= -0.6x^3 + 900x^2 – 400x + 700-(400x^2 + 300x )
P(x)= -0.6x^3 + 900x^2 – 400x + 700-400x^2 - 300x
P(x)= -0.6x^3 + 500x^2
