firms Flashcards
(49 cards)
short-run assumptions for production
- set level of capital
set level of factory space + machinery
only choice that remains is how much labour to hire
define marginal product
the additional output produced when one more unit of the input is hired (holding all other inputs fixed)
what is the marginal product of labour
the derivative of f(l,k̅) with respect to l
also represents the slope of the SR production func. and is equal to the slope of the profit line (w/p)
law of diminishing marginal returns
as we increase an input (holding all other factors fixed) eventually marginal product decreases, which means that eventually the slope is concave down
formula
marginal revenue product
p * marginal product of labour
what does the slope of of f(l,k̅) tell you
how much x will increase if you increase l by 1
why do profit maximizing firms produce on the production func. curve
bc they utilize all the labour that thye hire
profit maximizing equation
max. (profit equation) s.t. x=f(l,k̅)
SR profit equation
px – wl
firms keep hiring workers as long as…
what they cost is less than the revenue they produce
how do we derive the labor demand curve from the marginal revenue product curve
the MRP after the break even wage
supply function
x(p,w̅)
how do we derive the supply curve from the supply func.
supply func. after the break-even price (before that the curve is just a vertical line at x=0)
what conditions have to hold in the LR at the profit maximizing production plan
pMPₗ=w and pMPₖ=r
firms should produce where price=MC as long as…
their price is above the break-even price
what does an isoquant tell us
all the combinations of l and k that can produce a certain level of output
TRUE or FALSE
firms are indifferent btwn the prod. plans on an isoquant
FALSE
firms are indifferent btwn production plans that result in the same level of profit
what is the TRS (technical rate of substitution)
the slope of an isoquant: it tells us how much of k we can let go of when we hire 1 more worker and produce the same as before
slope of a budget line (isocost)
– w/r
define
returns to scale
what happens when we increase both l and k by the same proportion
cost minimization equation
min. (wl+rk) s.t. x=f(l,k)
increasing returns to scale
f(tl, kl) > t * f(l, k)
i.e. if i double the input, i’m going to more than double the output
decreasing returns to scale
f(tl, kl) < t * f(l, k)
i.e. if i double the input, i’m going to less than double the output
constant returns to scale
f(tl, kl) = t * f(l, k)
i.e. if i double the input, i’m also going to double the output