10. Snowy's Snowboard Co. manufactures snowboards. The company uses
the function P(x) = 324x – 54x2 to model its profit, where P(x) is
the profit in thousands of dollars and x is the number of snowboards
sold, in thousands.
a) How many snowboards must be sold for the company to break even?
b) How many snowboards must be sold for the company to be profitable?

19

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

the answer is 48m^2!

step-by-step explanation: