1. A factory producing a certain type of electronic component has fixed cost of 250 per day and variable cost of 80 x, where x is the number of components produced per day. The demand function for these is p(x) = 250-x, and the possible production levels satisfy 0 less than or equal to x less than or equal to 90. Find the level of production for maximum profit.

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter14: Monopoly
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1. A factory producing a certain type of electronic
component has fixed cost of 250 per day and
variable cost of 80 x, where x is the number of
components produced per day. The demand
function for these is p(x) = 250-x, and the possible
production levels satisfy 0 less than or equal to x
less than or equal to 90. Find the level of
production for maximum profit.
2. A company offers the following schedule of
charges: 30 per thousand of orders of 50,000 or
less, with the charge per thousand, decreased by
38.5 centavos for each thousand above 50,000.
Find the order that will maximize the comapny's
income.
Transcribed Image Text:1. A factory producing a certain type of electronic component has fixed cost of 250 per day and variable cost of 80 x, where x is the number of components produced per day. The demand function for these is p(x) = 250-x, and the possible production levels satisfy 0 less than or equal to x less than or equal to 90. Find the level of production for maximum profit. 2. A company offers the following schedule of charges: 30 per thousand of orders of 50,000 or less, with the charge per thousand, decreased by 38.5 centavos for each thousand above 50,000. Find the order that will maximize the comapny's income.
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