Producing 73.8 units gives the lowest possible average cost.
The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:
AC = C(x) / x
AC = (0.2x³ – 24x² + 1514x +30064) / x
AC = 0.2x² - 24x + 1514 + 30064/x
The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:
AC' = 0.4x - 24 - 30064/x²
0.4x - 24 - 30064/x² = 0
0.4x³ - 24x² - 30064 = 0
Solving the cubic polynomial gives:
x = 73.8 units
Therefore the lowest possible average cost is when 73.8 units are produced.
Find out more at: brainly.com/question/20346871
Answer: 
Step-by-step explanation:
Let V = Event of selecting vegetarian employee
N = Event of selecting employee who owns a Nissan Leaf.
Given: Total employees = 97
n(V) = 31
n(N) = 36
n(N and V) = 6
By formula,
n(N or V) = n(V) + n(V) - n(N and V)
= 31+36-6
=61
By probability formula,
Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf =
Average speed = Distance/ time
Distance = 180 mi
Time = time(final) - time(initial)
To find time will be easier if we translate am and pm into 24 h scale.
am will stay the same, so 10:30 am is 10:30. (initial)
pm will be turned (am time + 12), 3: 00 pm = 3:00 +12 =15:00 (final)
Time = time(final) - time(initial)= 15:00 - 10:30 = 14:60 - 10:30 =4h 30 min
4h + 30 min = 4h + 1/2 h= 4.5 h (time)
Average speed = Distance/ time = 180 mi / 4.5 h = 40 mi/h
Answer is 40 mi/h.
It would be: 55/100 = 11/20
In short, Your Answer would be 11/20
Hope this helps!
