Laura is planning to buy two 5-lb bags of sugar, four 5-lb bags of flour, two 1-gal cartons of milk, and four 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. Milk (1-gal carton) $2.99 Eggs (1-dozen carton) $3.49 Sugar (5-lb bag) Flour (5-lb bag) $3.79 Supermarket I Supermarket II Supermarket III $3.15 $3.29 $2.99 $2.99 $2.89 $2.79 $3.74 $2.98 $2.89 (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. A = (b) Write a 4 x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets. B = (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket. C =

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Laura is planning to buy two 5-lb bags of sugar, four 5-lb bags of flour, two 1-gal cartons of milk, and four 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows.
實會會會
Milk
(1-gal
carton)
Eggs
(1-dozen
carton)
$3.49
$3.29
$2.99
Sugar
(5-lb bag)
$3.15
Flour
Supermarket I
Supermarket II
Supermarket III
(5-lb bag)
$3.79
$2.89
$2.98
$2.99
$2.99
$3.74
$2.79
$2.89
(a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets.
A =
(b) Write a 4 x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets.
B =
(c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.
C =
Transcribed Image Text:Laura is planning to buy two 5-lb bags of sugar, four 5-lb bags of flour, two 1-gal cartons of milk, and four 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. 實會會會 Milk (1-gal carton) Eggs (1-dozen carton) $3.49 $3.29 $2.99 Sugar (5-lb bag) $3.15 Flour Supermarket I Supermarket II Supermarket III (5-lb bag) $3.79 $2.89 $2.98 $2.99 $2.99 $3.74 $2.79 $2.89 (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. A = (b) Write a 4 x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets. B = (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket. C =
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