OFFICIAL TBM TREVAL DAY!
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We should have a treval day?
Everybody acts like treval for a whole day on forum & in server and we celebrate his birthday (: -
This is how I celebrate my birthday. You cant solve this cause Im the smarted guy on planet earth.
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NO!
I, treval is the smartest guy on earth.
I can solve it.
But you don't know to what equils Pi xD -
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Bah, This Is Like:
profit(x) = P(x)*x - C(x) ...(P(x) Is Multiplied By x Because It's A Price Per Widget)
= (49 - x )*x - 1/8*x^2 - 4x - 200
= -9/8*x^2 + 45x -200
d/dx(profit) = -18/8*x + 45 = 0 ---> x = 20
Price Per Widget If 20 Widgets Are Made = 49 - 20 = $29 / Widget. <~~ Very Easy
Find Minimized Average Cost By Differentiating And Setting Equal To 0, Solving For x. C(x) Is TOTAL Coast, Divide By Number Of Widgets, x, To Get Average Cost Per Widget.
C(x)/x = 1/8*x + 4 + 200/x
d/dx = 1/8 - 200/x^2 = 0
200/x^2 = 1/8
x^2 = 200*8 = 1600
x = 40
The Area For A Triangle Is .5*b*h. You're Given b=4. To Solve For h We Use h = 4*sin(180-theta)=4*sin(theta). Draw It Out So You Can Visualize Why These Equations Are Valid.
A = .5*4*4*sin(theta) = 8*sin(theta)
dA/dtheta = 8*cos(theta) = 0
cos(theta) = 0 When Theta Is 90 Degrees <~~ Or 89.9 Degrees It Depends Sometimes
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