find average cost marginal cost and marginal average cost ifC=2x^+3x+10 and x=10
Answers
Answer:
The total cost of production of x number of products, represented by C(x), can be written as –
C(x) = F(x) + V(x)
where,
F(x) = The fixed cost, independent of the number of products being manufactured. For eg – The salary paid by the company to its workers, the property rents and the maintenance costs etc. could be independent of the number of items they produce in a given month.
V(x) = The variable cost, which depends on the number of products being manufactured. For eg – The cost of packaging and transportation of the manufactured goods, which is obviously dependent on the number of goods produced.
The Average Cost per product (AC) =
C
(
x
)
x
Average Fixed Cost per product (AFC) =
F
(
x
)
x
Average Variable Cost per product (AVC) =
V
(
x
)
x
Answer:
Step-by-step explanation:
Answer
⇒ We have, C(x)=3x
2
−2x+3
⇒ Marginal cost =
dx
d
C(x)
⇒ Marginal cost =
dx
d
(3x
2
−2x+3)
⇒ Marginal cost = 2×3x−2=6x−2.
⇒ Now, substitute value of x=3,
⇒ Marginal cost = 6×3−2=18−2=16