C'(x)= 60sqroot(x+1) FC= 340
R'(x)=80x
Finding profit or loss from production and sale of 3 units and 8 units.
C(x)=40(x+1)^3/2+300
R(x)=40x^2
P(x)= R(x)-C(x)
Are my integrations correct and how would i find profit or loss?
INtegrations are correct.
Profit= 40x^2 - 40(x+1)^3/2-300
Put in x=3, or x=8
To find the profit or loss from the production and sale of 3 units and 8 units, you need to substitute the values of x into the profit equation.
Given: Profit equation, P(x) = R(x) - C(x)
To calculate the profit for 3 units:
Substitute x = 3 into the profit equation:
Profit(3) = 40(3)^2 - 40(3+1)^(3/2) - 300
To calculate the profit for 8 units:
Substitute x = 8 into the profit equation:
Profit(8) = 40(8)^2 - 40(8+1)^(3/2) - 300
Now, you can proceed to calculate the profit or loss for both scenarios using the given equations.