Answer:
hence the required minimum production level is 12units
Step-by-step explanation:
Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x
The average cost function will be c(x)/x
Dividing the cost function through by x
Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x
Average cost function = x²-24x + 30,000
A(x) = x²-24x + 30,000
If the average cost is minimized, hence dA/dx = 0
dA/dx = 2x - 24
0 = 2x - 24
-2x = -24
Divide both sides by -2
-2x/-2 = -24/-2
x = 12
For the second deriviative
d²A/dx² = 2 which is greater than zero
Hence a production level that will minimize the average cost per item of making x items is 12
Answer:
y = 658.3 ft
Step-by-step explanation:
Angle of depression = angle of elevation = 28° (alternate angles are congruent)
Reference angle = 28°
Side length opposite to reference angle = 350 ft
Adjacent = y
Apply trigonometric function, TOA:
Tan 28 = Opp/Adj
Tan 28 = 350/y
y*Tan 28 = 350
y = 350/Tan 28
y = 658.254263 ≈ 658.3 ft (nearest tenth)
I believe it is would be 5,380.67 if it the right one
Answer:
one half of two fifths of x would be equivalent to one fifth of x
