Question

Supposed the profit from the sale of a product in a week is

P(x)=16x-100-0.1x²
There is a limit in the production of the product at 100 units for the week.
What level of production will yield a profit of $180

Answer 1

Explanation:

180 =16x-100-0.1x2

-0.1x2+16x-280=0

x2-160x+2800=0

S=160

P=2800

DELTA=160*160-4*2800

DELTA=25600-10800

DELTA=14400

x1,2=160+/-

`\sqrt{14400`

divided by 2

x1,2=160+/-120 div by 2

x1=140

x2=20