LTC force curve
bitcoin and Leyte coin are virtual commodities,
the price can be manipulated by speculators,
there is no regularity.
The formula of long-term marginal cost is expressed as:
LMC = △ LTC / △ Q
or: LMC = DLTC / DQ
Mr = AP = P, which is the characteristic of perfect competition market, that is, the demand curve P (q) of perfect competition market coincides with marginal cost curve MR and average cost curve AP. Mr = LMC = SMC = lac = sac, which is the condition of perfect competitive market equilibrium
LMC, SMC, lac and sac were long-term marginal cost, short-term marginal cost, long-term average cost and short-term average cost respectively
Because lac is the envelope of sac, return to scale changes and remains unchanged in the long run. If the return to scale remains unchanged, lac = LMC, which is the lac straight line and the lowest point of sac Increasing or decreasing returns to scale: the lowest point of the intersection of LMC and lac with lac, which is the lowest point of SA corresponding to proction
extended data:
(1) each STC and LTC has only one common point. This is because for each STC, there is only one point tangent to the line from the origin. Or, it can be said that for each sac, there is only one point intersecting with SMC, and at this point sac drops to the lowest point
(2) STC can only be located above LTC, that is, except for common point, all other points on each STC are larger than LTC under the same proction state. Otherwise, if the STC falls below the LTC, it means that the short-term average cost sac is less than the long-term average cost lac, which is contradictory to the fact that lac is the lowest point of sac
(3) STC is tangent to LTC only when lac reaches the lowest point. This is because at every point on the LTC, it is the common point with an STC. At these common points, the corresponding STC is tangent to a straight line from the origin respectively,
however, for LTC, it is tangent to a straight line from the origin only when the lac drops to the lowest point. Therefore, except for the point on the LTC corresponding to the lowest lac, LTC and STC all intersect, and there is only one intersection
The formula of long-term marginal cost is expressed as:
LMC = △ LTC / △ Q
or: LMC = DLTC / DQ
Mr = AP = P, which is the characteristic of perfect competition market, that is, the demand curve P (q) of perfect competition market coincides with marginal cost curve MR and average cost curve AP. Mr = LMC = SMC = lac = sac, which is the condition of perfect competitive market equilibrium
LMC, SMC, lac and sac were long-term marginal cost, short-term marginal cost, long-term average cost and short-term average cost respectively
Because lac is the envelope of sac, return to scale changes and remains unchanged in the long run. If the return to scale remains unchanged, lac = LMC, which is the lac straight line and the lowest point of sac Increasing or decreasing returns to scale: the lowest point of the intersection of LMC and lac with lac, which is the lowest point of SA corresponding to proction Extended data:
the change rule of short-term marginal cost is: at the beginning, the marginal cost decreases with the increase of proction, and when the proction increases to a certain extent, it increases with the increase of proction. The short-term marginal cost curve is a U-shaped curve that first decreases and then increases
the average fixed cost is the average fixed cost per unit proct, which is expressed by AFC: AFC = FC / Q. At first, the average fixed cost decreased by a large margin, and then decreased by a smaller and smaller margin. Therefore, the average fixed cost curve is steep at first, which indicates that when the output begins to increase, it decreases greatly, and then it becomes more and more flat, which indicates that with the increase of output, it decreases less and less
yield q = 15 substitute STC, get STC = 1350, TR = PQ = 150 × 15 = 2250, profit = tr-stc = 900
AVC = Q & # 178- 24q + 195, let davc / DQ = 2q-24 = 0, get q = 12, substitute into AVC, get short-term lowest price P = 51
(2) let LMC = 2q & # 178- 32q + 180 = 124, the long-term yield q = 14 (2 rounding)
make SMC = 3Q & # 178- 48Q + 195 = 124, short-term yield q = 14.35 (1.6 rounding off)
(3) lac = (2 / 3) Q & # 178- 16q + 180, let DLAC / DQ = (4 / 3) q-16 = 0, get q = 12, substitute into lac, get long-term equilibrium price P = lac = 84
let LMC = 2q & # 178- 32q + 180 = 84, the long-term equilibrium yield q = 12 (4 rounding off).
LMC = 0.0075q2-q + 384
lac = 0.0025q2-0.5q + 384
from P = a-0.1q,
from P = a-0.1q,
from long-term equilibrium, on the one hand, LMC = Mr, on the other hand, lac = P, then there is
0.0075q2-q + 384 = a-0.2q
0.0025q2-0.5q + 384 = a-0.1q
from solving equations, we can get q = 80, P = 360, a = 36
