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A local business A has two competitors, B and C. No customer patronizes more than one of these businesses at the same time. Initially, the probabilities that a customer patronizes A, B, or C are 0.2, 0.6, and 0.2, respectively. Suppose A initiates an advertising campaign to improve its business and finds the following transition matrix to describe the effect.
Find the steady-state vector for this market-that is, the long-range share of the market that each business can expect if the transition matrix holds.
Budget Constraint
A financial limitation that represents the combination of goods and services a consumer can afford with their available income.
Monthly Income
The total income received every month from all sources including salaries, benefits, and investments.
Purchase Bundle
A combination of goods and services that a consumer buys at a given time.
Budget Constraint
Refers to the limitations on the consumption choices of individuals based on their income and the prices of goods and services.
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