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Math Algebra Elementary Linear Algebra

Gasoline Sales Matrix A shows the numbers of gallons of 87 − octane, 89 − octane, and 93 − octane gasoline sold at a convenience store over a weekend. 87 89 93 ︷ Octane A = [ 580 840 320 560 420 160 860 1020 540 ] Friday Saturday Sunday Matrix B gives the selling prices (in dollars per gallon) and the profits (in dollars per gallon) for the three grades of gasoline. Selling price Profit B = [ b 11 0.05 b 21 0.08 b 31 0.10 ] 87 89 93 } Octane (a) Find A B and interpret the result. (b) Find the convenience store’s profit from gasoline sales for the weekend.

Gasoline Sales Matrix A shows the numbers of gallons of 87 − octane, 89 − octane, and 93 − octane gasoline sold at a convenience store over a weekend. 87 89 93 ︷ Octane A = [ 580 840 320 560 420 160 860 1020 540 ] Friday Saturday Sunday Matrix B gives the selling prices (in dollars per gallon) and the profits (in dollars per gallon) for the three grades of gasoline. Selling price Profit B = [ b 11 0.05 b 21 0.08 b 31 0.10 ] 87 89 93 } Octane (a) Find A B and interpret the result. (b) Find the convenience store’s profit from gasoline sales for the weekend.

Solution Summary: The author explains that matrix A shows the numbers of gallons of 87- octane gasoline sold over a weekend.

Elementary Linear Algebra

Elementary Linear Algebra

8th Edition

ISBN: 9780357156100

Author: Ron Larson

Publisher: Cengage Limited

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Chapter 2.CR, Problem 51CR

Gasoline Sales Matrix A shows the numbers of gallons of 87 − octane, 89 − octane, and 93 − octane gasoline sold at a convenience store over a weekend.

87 89 93 ︷ Octane A = [ 580 840 320 560 420 160 860 1020 540 ] Friday Saturday Sunday

Matrix B gives the selling prices (in dollars per gallon) and the profits (in dollars per gallon) for the three grades of gasoline.

Selling price Profit B = [ b 11 0.05 b 21 0.08 b 31 0.10 ] 87 89 93 } Octane

(a) Find A B and interpret the result.

(b) Find the convenience store’s profit from gasoline sales for the weekend.

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Chapter 2.CR, Problem 50CR

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Chapter 2 Solutions

Elementary Linear Algebra

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Prob. 31CR Ch. 2.CR - Prob. 32CR Ch. 2.CR - Finding a Sequence of Elementary Matrix In...Ch. 2.CR - Prob. 34CR Ch. 2.CR - Prob. 35CR Ch. 2.CR - Finding a Sequence of Elementary Matrix In...Ch. 2.CR - Prob. 37CR Ch. 2.CR - Prob. 38CR Ch. 2.CR - Prob. 39CR Ch. 2.CR - Prob. 40CR Ch. 2.CR - Consider the matrices below....Ch. 2.CR - Prob. 42CR Ch. 2.CR - Prob. 43CR Ch. 2.CR - Prob. 44CR Ch. 2.CR - Prob. 45CR Ch. 2.CR - Prob. 46CR Ch. 2.CR - Solving a Linear System Using LU-Factorization In...Ch. 2.CR - Prob. 48CR Ch. 2.CR - Manufacturing A company manufactures tables and...Ch. 2.CR - Prob. 50CR Ch. 2.CR - Gasoline Sales Matrix A shows the numbers of...Ch. 2.CR - Prob. 52CR Ch. 2.CR - Prob. 53CR Ch. 2.CR - Prob. 54CR Ch. 2.CR - Prob. 55CR Ch. 2.CR - Prob. 56CR Ch. 2.CR - Prob. 57CR Ch. 2.CR - Prob. 58CR Ch. 2.CR - Finding State Matrices In Exercises 5962, use the...Ch. 2.CR - Prob. 60CR Ch. 2.CR - Prob. 61CR Ch. 2.CR - Prob. 62CR Ch. 2.CR - Prob. 63CR Ch. 2.CR - Prob. 64CR Ch. 2.CR - Prob. 65CR Ch. 2.CR - 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