Laura is planning to buy three 5-lb bags of sugar, two 5-lb bags of flour, three 1-gal cartons of milk, and two 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. A= Flour (5-lb bag) $3.79 Supermarket I Supermarket II $2.89 Supermarket III $2.98 (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. B = 11 11 Milk (1-gal carton) $2.99 $2.79 $2.89 Sugar (5-lb bag) $3.15 $2.99 $3.74 Eggs (1-dozen carton) $3.49 $3.29 $2.99 (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. (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.
Laura is planning to buy three 5-lb bags of sugar, two 5-lb bags of flour, three 1-gal cartons of milk, and two 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. A= Flour (5-lb bag) $3.79 Supermarket I Supermarket II $2.89 Supermarket III $2.98 (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. B = 11 11 Milk (1-gal carton) $2.99 $2.79 $2.89 Sugar (5-lb bag) $3.15 $2.99 $3.74 Eggs (1-dozen carton) $3.49 $3.29 $2.99 (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. (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Laura is planning to buy three 5-lb bags of sugar, two 5-lb bags of flour, three 1-gal cartons of milk, and two 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets
are as follows.
A =
B =
Supermarket I
Supermarket II
Supermarket III
(a) Write a 3 × 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets.
↓ 1
C =
Sugar
(5-lb bag)
$3.15
$2.99
$3.74
↓ 1
Flour
(5-lb bag)
$3.79
$2.89
$2.98
↓ 1
Milk
(1-gal
carton)
$2.99
(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.
Eggs
(1-dozen
carton)
$3.49
$3.29
$2.99
$2.79
$2.89
(c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.
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