Thread: function problem

1. function problem

A company sell x units of a product whose profit is given by the function P(X)=20X-X^2

A) how many units should the business sell in order to maximize profits = 10

B)How much is the maximum profit = 300

C) What is the maximum number of units the business can sell to make a profit

p(x)=-x^2+20x

-B
x= 2A

X= -20 = 10 P(10) = -10^2+ 20(10) = P(10)= 100 + 200 = 300
2(-1)

Can anyone help me get the answer to C and check my answers please

2. Originally Posted by waterboy
A company sell x units of a product whose profit is given by the function P(X)=20X-X^2

A) how many units should the business sell in order to maximize profits = 10

B)How much is the maximum profit = 300

C) What is the maximum number of units the business can sell to make a profit

p(x)=-x^2+20x

-B
x= 2A

X= -20 = 10 P(10) = -10^2+ 20(10) = P(10)= 100 + 200 = 300
2(-1)

Can anyone help me get the answer to C and check my answers please
Hi

A) OK
B) According to A, max profit is given by P(10)=100
C) -X²+20X = X(-X+20)
X being obviously positive P(X) is positive if -X+20 is positive therefore X less than 20 which is the max number of units the business can sell to make a profit