The inverse demand a monopoly faces is p = 100 − Q +√A, where A is the level of advertising. The monopoly incurs a constant marginal and average cost of production of $10 and a constant marginal and average cost of advertising of $1. (a) Write down the monopoly’s profit function. (b) Solve for the monopoly’s profit-maximizing price, quantity, and level of advertising
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The inverse
p = 100 − Q +√A,
where A is the level of advertising. The monopoly incurs a constant marginal and average cost of production of $10 and a constant marginal and average cost of advertising of $1.
(a) Write down the monopoly’s profit function.
(b) Solve for the monopoly’s profit-maximizing
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- The Incumbent operates in the market for good A. The Inverse demand function Is given by p= 110 - Q. Incumbent's total cost equals TC(q)=10q (a) Find the monopoly output and profit (b) A new firm with the same technology can enter the market by paying the setup cost F= 225. In this case, the firms will compete in the Stackelberg way: the Incumbent will set q1 and after that having observed q, the entrant will choose q2. Find the optimal output q1. (Hint: consider two cases: entry Istrategic entry deterrence.)Suppose the demand equation is where x is the number of items sold when the per unit price is p dollars. Determine (a) the revenue function, (b) the domain revenue function, (c) the revenue derived from the sale of the 100th item-the marginal revenue when x = 100, (d) estimate the level of production that maximizes the revenue, and the maximum revenue.Curse Purge Plus is a monopolist in the curse removal market They face an inverse demand curve given by P=200-4Q, where Q is the number of curse removals they sell. Their cost function is C(Q)=10+8Q. Find the first-order condition for profit maximization.