Answer:
Part A:
P(x)=15x^4+30x^3-50
Part B:
P(4)=$4270
Step-by-step explanation:
Part A:
In order to find the profit function P(x) we have to integrate the P'(x)
P'(x)=x(60x^2+90x)
P'(x)=60x^3+90x^2

P(x)=15x^4+30x^3+C
when x=0, C=-50
P(x)=15x^4+30x^3-50
Part B:
x=4
P(x)=15x^4+30x^3-50
P(4)=15*4^4+30*4^3-50
P(4)=$4270
Profit from selling 400 pounds is $4270
Answer: 14 years
Step-by-step explanation:
Let the cat's age when it died = x.
Therefore, the child's age is 2 + x because he/she got the cat when he/she was 2 years old.
We can set up an equation.
x + (2+x) = 30
2x + 2 = 30
2x = 28
Therefore, x = 14
If one equals 3 then 3 times 6 = 18 pounds