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)=140−2q^2 and a cost function of C(q)=80+40q.
Determine how much output each firm chooses.Firm 1 will produce such that q= _____ units.
ANSWER:
given that:
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 1:
MR(Marginal revenve) = MC(Marginal cost)
TR = 140q - 2q2
MR = 140 - 4q
TC = 80 + 40q
MC = 40
The profit maximizing condition is
MR = MC
140 - 4q = 40
4q = 100
q = 100 / 4 = 25 units
FIrm 1 will produce such that q = 25 units
Three firms have identical revenue and profit functions. Firm 1 is a private sector firm operated...
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