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In matrix C, a coffee shop records the cost to produce a cup of standard Columbian coffee and the cost to produce a cup of hot chocolate. Matrix P contains the selling prices to the customer. Coffee Chocolate $0.90 $0.84]Small $1.15 Medium $1.50 ]Large C = | $1.26 $1.64 Coffee Chocolate $2.25 ]Small $3.05 Medium $3.65 JLarge $3.05 P = $3.65 $4.15 a. Compute P - C and interpret its meaning. b. If the tax rate in a certain city is 7%, use scalar multiplication to find a matrix F that gives the final price to the customer (including sales tax) for both beverages for each size. Round each entry to the nearest cent.

In matrix C, a coffee shop records the cost to produce a cup of standard Columbian coffee and the cost to produce a cup of hot chocolate. Matrix P contains the selling prices to the customer. Coffee Chocolate $0.90 $0.84]Small $1.15 Medium $1.50 ]Large C = | $1.26 $1.64 Coffee Chocolate $2.25 ]Small $3.05 Medium $3.65 JLarge $3.05 P = $3.65 $4.15 a. Compute P - C and interpret its meaning. b. If the tax rate in a certain city is 7%, use scalar multiplication to find a matrix F that gives the final price to the customer (including sales tax) for both beverages for each size. Round each entry to the nearest cent.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 68E
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In matrix C, a coffee shop records the cost to produce a cup of standard Columbian coffee and the cost to produce a cup of hot chocolate. Matrix P contains the selling prices to the customer. Coffee Chocolate $0.90 $0.84]Small $1.15 Medium $1.50 ]Large C = | $1.26 $1.64 Coffee Chocolate $2.25 ]Small $3.05 Medium $3.65 JLarge $3.05 P = $3.65 $4.15 a. Compute P - C and interpret its meaning. b. If the tax rate in a certain city is 7%, use scalar multiplication to find a matrix F that gives the final price to the customer (including sales tax) for both beverages for each size. Round each entry to the nearest cent.
Transcribed Image Text:In matrix C, a coffee shop records the cost to produce a cup of standard Columbian coffee and the cost to produce a cup of hot chocolate. Matrix P contains the selling prices to the customer. Coffee Chocolate $0.90 $0.84]Small $1.15 Medium $1.50 ]Large C = | $1.26 $1.64 Coffee Chocolate $2.25 ]Small $3.05 Medium $3.65 JLarge $3.05 P = $3.65 $4.15 a. Compute P - C and interpret its meaning. b. If the tax rate in a certain city is 7%, use scalar multiplication to find a matrix F that gives the final price to the customer (including sales tax) for both beverages for each size. Round each entry to the nearest cent.
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