Price war a small town on a major highway has only two gas stations: station
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- Satellite Television: Two competing companies offer satellite television to a city with 100,000 households. Gold Satellite System has 25,000 subscribers and Galaxy Satellite Network has 30,000 subscribers. (The other 45,000 households do not subscribe.) The matrix shows the percent changes in satellite subscriptions each year. FromGoldFromGalaxyFromNon-subscriberPercentChangesPercentChanges{ ToGoldToGalaxyToNonsubscriber [ 0.700.150.150.200.800.150.100.050.70 ] (a) Find the number of subscribers each company will have in 1 year using matrix multiplication. Explain how you obtained your answer. (b) Find the number of subscribers each company will have in 2 years using matrix multiplication. Explain how you obtained your answer. (c) Find the number of subscribers each company will have in 3 years using matrix multiplication. Explain how you obtained your answer. (d) What is happening to the number of subscribers to each company? What is happening to the number of nonsubscribers?arrow_forwardProfit: At a local store, the numbers of gallons of skim milk, 2% milk, and whole milk sold over the weekend are represented by A. Skim2%WholemilkmilkmilkA=406452608276769684FridaySaturdaySunday The selling prices per gallon and the profits per gallon for the three types of milk are represented by B. SellingProfitProfitB=$3.45$1.20$3.65$1.30$3.85$1.45Skimmilk2%milkWholemilk (a) Compute AB and interpret the result. (b) Find the store’s total profit from the milk sales for the weekend.arrow_forward