A company supplies a product at two mutually exclusive (do not happen at the same time) periods of time. The demand function for Period 1 is P₁ = 800 - 2Q₁ and the demand function for Period 2 is given by P₂ = 760-2Q₂. The cost for each unit provided is 40 per unit (paid in both markets). Capacity costs 60 per unit and is only paid once and used in both periods. Find the optimal (maximum) profit.

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter3: Benefits, Costs, And Decisions
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2. A company supplies a product at two mutually exclusive (do not happen at the same time)
periods of time. The demand function for Period 1 is P₁ = 800-20₁ and the demand
function for Period 2 is given by P₂ = 760-202. The cost for each unit provided is 40 per
unit (paid in both markets). Capacity costs 60 per unit and is only paid once and used in
both periods. Find the optimal (maximum) profit.
Transcribed Image Text:2. A company supplies a product at two mutually exclusive (do not happen at the same time) periods of time. The demand function for Period 1 is P₁ = 800-20₁ and the demand function for Period 2 is given by P₂ = 760-202. The cost for each unit provided is 40 per unit (paid in both markets). Capacity costs 60 per unit and is only paid once and used in both periods. Find the optimal (maximum) profit.
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