question
3) does firm exhibit diminishing marginal returns
answer
if second derivative of MPL>0 then yes it does
question
3) MRTS formula
answer
-MPl/MPk
question
3) show if isoquants are strictly convex
answer
if the derivative of MRTS with respect to L is diminishing when L increases, the isoquants are strictly convex
question
3) determine returns to scale of production function
answer
multiply production function by "T" replace KL at end with Q, if the function solved is greater than TQ then constant returns to scale
question
3) screwy "ln" derivative stuff
answer
if -MRTS=(K/L) then Ln(K/L) = LN[MRTS] XXXXX used for fwucky elasticity formula
question
3) lost dollar rule
answer
(MPl/W)=(MPk/R)
question
3) find conditional input demand function
answer
using the "last dollar rule" solve for K, plug this into production function and solve for L' , plug L' into k (above) for K'
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3) expansion path
answer
using "last dollar rule" , solve for capital. done
question
3) derive long run cost curve
answer
using "last dollar rule", solve for K and L (not k' or l'), plug this into cost and then solve for K and L. plug this K and L back into production function.
question
4) what is profit maximizing level of q
answer
set MC(derivative of cost function) = Price (Q')
question
4) how to know if truly profit maximizing
answer
derivative of MC > 0
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4) what is maximum profit this firm can earn?
answer
max π = PQ'-C(Q')
question
4) derive short run supply curve
answer
find AVC( cost function divided by Q) and do AVC=MC solve for q. the SR supply curve is MC above the q solved above?
question
4) what price should firm shut down?
answer
take the q solved for MIN AVC above and plug into AVC
question
5) find total revenue (TR)
answer
the price function multiplied by Q
question
5) find marginal revenue (MR)
answer
derivative of total revenue
question
5) find maximum output monopolist would produce
answer
set MR=0 and solve for q
question
5) find profit maximizing price and quantity for monopoly
answer
set MR=MC solve for Q' then plug Q' into price function for P'
question
5) what is the maximum profit the monopolist can earn
answer
max π = P'Q'-MC(Q')
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5) what price and output level if monopoly was instead perfectly competitive
answer
set P=MC solve for q and p is given in problem
question
5) dead weight loss formula
answer
.5(P'-P)(Q'-Q)
question
AFC
answer
fixed cost portion divided by q
question
AC
answer
=c/q=AVC+AFC
question
in short run VC=WL
answer
...
question
u shape of mc curve
answer
if Mpl increases as mc decreases and vice versa
question
long run
answer
all costs are variable
question
price taker = ?
answer
perfectly competitive ( Normal )
question
price maker = ?
answer
monopoly
question
how to tell if firm or monopoly
answer
if mr<p monopoly
if mr=p pc firm
if mr=p pc firm
question
produce surplus =
answer
p-mc
question
price/MC ratio
answer
P is # X bigger than MC
question
Lerner Index
answer
p is marked up #% over MC
question
how to get producer surplus
answer
are under linear demand curve and above price, are of triangle with base equal to quantity demanded.