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 rate is: 6 cups of flour per cup of water
Step-by-step explanation:
Recall that rate involve quotient of the two quantities in question:
Then cups of flour per cups of water is the quotient: 2 cups of flour divided by 1/3 cup of water:
this means 6 cups of flour per cup of water
Take $190 and multiply it by 0.15 (28.5) and subtract that from $190= $161.50
Answer:
The average rate of change is 1.275
Step-by-step explanation:
The average rate of change of f(x) from x=a to x=b is given by:
The money Terry invested is modeled by the function 
where x represents number of days.
The average rate of change from day 2 to day 10 is given by:
The average rate of change becomes:
Answer:
It's false.... correct is a2+2ab+b2
Step-by-step explanation:
This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.
That's why it's false.
