Question

The function P(l) = −4l2 +32l − 52
gives the profit, in thousands, of producing l
units of lip gloss. What is the maximum profit that can be made? (1 point)
Responses

$12,000
$12,000

$4,000
$4,000

$208,000
$208,000

$32,000

Answer 1

P(l) is a downward parabola with vertex at l = -b/(2a) = -32/(2·-4) = 4.
P(4) = -4(4)^2 + 32(4) - 52 = -64 + 128 - 52 = 12 (thousand).

Maximum profit = $12,000.