Question 1023625
Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by
P(x) = –0.002 x2 + 4.1x – 1200
:
(a) What is the company’s profit if 600 donuts are made daily?
P(x) = –0.002 x^2 + 4.1x – 1200
Replace x with 600 and find P(x)
P(x) = -.002(600^2) + 4.1(600) - 1200
P(x) = -.002(360000) + 2460 - 1200
P(x) = -740 + 2460 - 1200
P(x) = $540 profit when 600 donuts are made
:
(b) How many donuts should be made daily in order to maximize the company’s profit?
The quadratic equation; y = –0.002 x^2 + 4.1x – 1200; find the axis of symmetry x = -b/(2a)
a=-.002; b=4.1
x = {{{(-4.1)/(2*-.002)}}}
x = 1025 donuts will give max profit