Gargantuan Enterprises has a monopoly in the production of antimacassars. Its factory is located in the town of Pantagruel. There is no other industry in Pantagruel, and the labor supply equation there is W = 10+0.1L, where W is the daily wage and L is the number of person-days of work performed. Antimacassars are produced with a production function, Q = 10L, where L is daily labor supply and Q is daily output. The demand curve for antimacassars is P = 66 − Q/900, where P is the price and Q is the number of sales per day. The firm's profit-maximizing output is closest to: 15,400 antimacassars. Please explain step by step how we found 15,400.

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter23: Profit Maximization
Section: Chapter Questions
Problem 8E
Question

Gargantuan Enterprises has a monopoly in the production of antimacassars.

Its factory is located in the town of Pantagruel.

There is no other industry in Pantagruel, and the labor supply equation there is W = 10+0.1L, where W is the daily wage and L is the number of person-days of work performed.

Antimacassars are produced with a production function, Q = 10L, where L is daily labor supply and Q is daily output.

The demand curve for antimacassars is P = 66 − Q/900, where P is the price and Q is the number of sales per day.

The firm's profit-maximizing output is closest to: 15,400 antimacassars. Please explain step by step how we found 15,400.

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