Answer:
x = 4 units
Step-by-step explanation:
Data provided in the question:
c(x ) = 2x³ - 12x² + 23,000
Now,
For point of maxima or minima, differentiating the above equation with respect to number of items 'x'
c'(x) = 3(2x²) - 2(12x) + 0
or
c'(x) = 3(2x²) - 2(12x)
for point of maxima or minima put c'(x) = 0
Thus,
3(2x²) - 2(12x) = 0
or
6x² - 24x = 0
or
x² - 4x = 0
or
x(x - 4) = 0
or
x = 0 and, x = 4
Since,
The quantity cannot be zero
Therefore,
production level that will minimize the average cost of making x items is x = 4 units
90 is 4/5, so 1/5 is 22.5
90+22.5=112.5
the value is 112.5 :)
Answer:
x = -5/2
Step-by-step explanation:
-15/2 = 3x
multiply both sides by 2:
2(-15/2) = 2(3x)
-15 = 6x
divide both sides by 6:
-15/6 = 6x/6
x = -15/6
this can be reduced to:
x = -5/2
Answer:
b hope this helps
Step-by-step explanation:
Answer:
1/1296
Step-by-step explanation: