To find the number of lip glosses that need to be produced to maximize profits, we need to find the vertex of the quadratic function given by P(l) = -2l^2 + 20l - 9.
The x-coordinate of the vertex is given by the formula x = -b / 2a. In this case, a = -2 and b = 20.
Therefore, x = -20 / (2*(-2)) = -20 / -4 = 5.
So, the number of lip glosses that need to be produced to maximize profits is 5,000.
Therefore, the answer is:
c. 5,000
The function P (l) = -2l^2 + 20l - 9 gives the profit of producing l lip glosses in thousands. How many lip glosses need to be produced to maximize profits?
a. 9,000
b. 41,000
c. 5,000
d. 20,000
1 answer