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what is a production function
the mathematical relationship between inputs and outputs
what does it mean to be in the short run
The period of time is so short that at least one factor of production is fixed. Production occurs with both fixed and variable inputs
what does it mean to be in the long run
The period of time is so long that all inputs can be varied. Firms are free to enter or exit at no cost.
marginal product of labor
additional output that is associated with one unit increase of labor, holding all other inputs fixed
average product of labor
the average output per unit of labor used
breakeven point of labor
when the dollar value of a worker’s marginal product of labor is equal to their wage
what factor is most important when considering hiring more workers?
The marginal product of labor, MPL occurs in three ‘phases’, and firms are expected to stop hiring when the marginal product of labor is less than or equal to 0
what factors influence a firm’s choices in the long run?
production technology, cost of inputs, and price of outputs
isoquant
a curve representing the set of K and L combinations that make the same quantity of output
marginal rate of technical substitution
the rate at which a firm is willing to trade one factor of production for another, this is the slope of an isoquant expressed as -MPL/MPK
what is returns to scale
the impact of the quantity of output when firms change all inputs by the same rate
increasing returns to scale
outputs increase by a rate larger than the rate at which inputs were increased (example: doubled inputs creates more than doubled outputs)
constant returns to scale
the outputs increase at the same rate as the inputs (example: doubled inputs create doubled outputs)
decreasing returns to scale
outputs increase at a rate less than the rate at which inputs are increased (example: doubled inputs create less than doubled outputs)
how do improvements in production technology impact isoquants
the isoquant is shifted to the left because less inputs are required to make the same amount of output
accounting cost
the cost of inputs is measured by what the firm pays for them
economic cost
the amount of money required to keep an input in its current use, rather than opting for the next best alternative
what does the letter ‘v’ stand for
the rental rate of capital
what does the letter ‘w’ stand for
the labor rate of wages
sunk cost
expenses already paid that cannot be recovered, these only exist in the short run
isocost
a curve representing different combinations of K and L that yield the same total cost
cost minimization point
the combination of K and L that makes the desired amount of output at the lowest total cost; this is the tangent point where the slope of the isoquant is equal to the slope of the isocost
what is optimal scale
a realistic scenario in which firms start small and expand, having increasing returns to scale, but after a certain point of expansion they run into challenges and have decreasing returns to scale
fixed costs
costs associated with fixed inputs in the short run
variable costs
costs associated with variable inputs in the short run
profit maximization
the quantity of output a firm can generate that covers the costs of inputs while maximizing revenue
total revenue
the total amount of money a firm gets from selling its outputs
marginal revenue
the money a firm gets from selling an additional unit of output
average revenue
the revenue gained per unit of output sold
when should a firm expand the quantity of output it produces
when the marginal cost of producing another unit of output is less than the marginal revenue gained by selling that unit of output
when should a firm stop expanding its quantity of output
when the marginal price of an additional unit of output is equal to its marginal revenue