Cost min Flashcards
(31 cards)
Equation of the isocost curve?
x2 =c2/w2 - w1/w2 (x1)
Where is the optimal choice on an isocost?
Lowest possible isocost curve
What’s the tangency condition in a cost minimisation problem?
- w1/w2 = - MP1/ MP2 (TRS)
slope isocost = slope isoquant
where MPi = dY/dXi
What does a firm choose in a competitive market?
Only x1 not the price - price taker
What would happen if a firm in a comp. market would choose to sell at a lower than market price.
It would capture the entire market but still make less revenue since it can sell indefinitely many goods at market price.
What’s the formula for profit?
π = pY-c(y)
What’s the formula for marginal cost?
dc(y)/dY
What’s the condition for profit max in a competitive market?
p = mc(Y)
mr = mc(Y)
What’s special about the price and marginal revenue in a perfectly competitive market?
They are the same
What’s the firms’ supply curve in a perfectly competitive market?
The MC curve above AC
What’s the short run shut down price in a perfectly competitive market
p < AVC
Firm chooses not to produce (y=0)
What’s the producer surplus in a perf. comp. market?
Py - Cv(y) = producer surplus
What’s the long run shut down condition in a perf. comp. market?
p < AC(Y)
What’s the thing about Average costs in the long run
AC = AVC because all costs are variable in the long run
What does market demand consist of?
Sum of all individual demands
What’s the formula for elasticity?
E = p/q x dq/dp
point x slope
Where on a perfectly linear demand curve is E = 1
The midpoint
What’s the elasticity above the midpoint of a linear demand function?
Elastic
What’s the elasticity below the midpoint of a linear demand function?
Inelastic
Math Def of elastic demand
E > 1
Math Def of inelastic demand
E < 1
What’s the formula for revenue?
And it’s first differentiation?
R = p x q(p)
dR/dp = q(P) (1+E)
If demand is elastic what does that mean for revenue?
E < -1
Price increases, revenue falls
If demand is inelastic what does that mean for revenue?
0 > E > -1
price increases, revenue increases