SOLUTION: suppose the profit for producing x of an item is given by: P(x)= 3/100x^2 - 7x + 6x^3/5 + 6000 Find the marginal profit for each of the following values of x. Round final ans

Question 64212: suppose the profit for producing x of an item is given by:
P(x)= 3/100x^2 - 7x + 6x^3/5 + 6000
Find the marginal profit for each of the following values of x. Round final answers to the nearest penny
a. x= 10
b. x= 300
c. x= 1000
d. x= 20,000
PLEASE HELP...I'M NOT SURE HOW TO START I REALLY DO HOPE YOU CAN HELP....THANK YOU SO MUCH
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
suppose the profit for producing x of an item is given by:
P(x)= 3/100x^2 - 7x + 6x^3/5 + 6000
Take the derivative:
P'(x)=(3/50)x-7+(18x^2/5)
Comment: I couldn't tell if your x^3 term is (6/5)x^3 or 6x^(3/5).
I assumed it was the latter.
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Find the marginal profit for each of the following values of x. Round final answers to the nearest penny
a. x= 10
b. x= 300
c. x= 1000
d. x= 20,000
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P'(10)=$353.60
P'(300)=$324011
P'(1000)=$3.6x10^6
P'(20000)=$1.44x10^9
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Cheers,
Stan H.