Answer:
a.) C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH b.) $170
Step-by-step explanation:
(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:
Marginal cost (MC) = change in total cost/change in quantity
Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:
Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k
where k is a constant.
The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k
C(q) = -(1/4)*(q^3 - 12q^2 + 48q - 64) + k = -(1/4)*q^3 + 3q^2 - 12q -16 + k
Thus:
C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH
(b) C(14) = -(1/4)*14^3 + 3*14^2 - 12*14 + 436 = -686 + 588 - 168 + 436 = $170
Answer:
The Answer is -16
Step-by-step explanation:
The equation to this would be -352 / 22, which would give you 16, hope this helped!
Answer:
100
Step-by-step explanation:
start with what's in the parenthesis':
8 (9.75 - 3.25) + 12 x 4 = 8 (6.50) + 12 x 4
then take the number outside of the parenthesis' time the number inside of them:
8 (6.50) + 12 x 4 = 52 + 12 x 4
now, take the product of the two number on the right side of the addition sign:
52 + 12 x 4 = 52 + 48
finally, add the final two numbers together:
52 + 48 = 100
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
We have then that Lisa's average grade point equation is:

Where,
x: minimum note that lisa must obtain in the last exam.
Clearing x we have:
Answer:
the lowest grade she can get on her last test is:
x = 94
Hi.
20% is 1/5 of the population. To find out 100% of the population, we can multiply by 5.
2,360 • 5 = 11,800
The population of the town is 11,800.
Cheers~