Respuesta :
Answer:
8 thousand dollars
Step-by-step explanation:
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24
To find maximum profit , we need to find out the vertex
x coordinate of vertex formula is -b/2a
[tex]P(x)=-2x^2+16x-24[/tex]
a=-2 and b = 16
[tex]x= \frac{-b}{2a}= \frac{-16}{2(-2)} = 4[/tex]
Now we plug in 4 for x and find out P(4)
[tex]P(x)=-2(4)^2+16(4)-24[/tex]= 8
So the maximum profit the company can earn is 8 thousand dollars when price = $4
