Show all your work Consider the isolated Swiss town of Andelfingen, inhabited by 1200 families.Each family takes a weekly shopping trip to the only grocery store in town,run by Mr. And Mrs. Wipf, until the day when a new, fancier (and cheaper)chain store, Migros, opens its doors. It is not expected that everybody willimmediately run to the new store, but we do anticipate that 20% of thoseshopping at Wipf's each week switch to Migros the following week. Somepeople who do switch miss the personal service (and the gossip) and switchback. We expect that 10% of those shopping at Migros each week go toWipf's the following week. The state of this town (as far as grocery shoppingis concerned) can be represented by the vectorw(t)m(t)x(t)where w(t) and m(t) are the numbers of families shopping at Wipf's and atMigros, respectively, t weeks after Migros opens. Suppose w(0) = 1200and m(0) = 0.A. Find a 2 x 2 matrix A such that x(t + 1) = Ax(t).B. How many families will shop at each store after t weeks? Give closedformulas.C. The Wipfs expect that they must close down when they have fewer than250 customers a week. When does that happen?

Answered: Image /qna-images/answer/38c0ed73-714d-4597-82a8-72a7b65c9cbf.jpg

Answered: Consider the isolated Swiss town of…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C

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