In: Economics
Three firms have identical revenue and profit functions. Firm 1 is a private sector firm operated by an owner-manager who wishes to maximize profit. Firm 2 is managed by an revenue-maximizing manager whose pay is proportional to the firm's revenue. Firm 3 is a government-owned firm that has been instructed to maximize the amount of employment, L, subject to the constraint that revenue must not be negative.
Each of the three firms has a revenue function
R(q)equals=120120qminus−22q squaredq2
and a cost function of
C(q)equals=2020plus+4040q.
Determine how much output each firm chooses.
Firm 1 will produce such that
qequals=nothing
units