Laura is planning to buy five 5-lb bags of sugar, six 5-lb bags of flour, five 1-gal cartons of milk, and six 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Laura is planning to buy five 5-lb bags of sugar, six 5-lb bags of flour, five 1-gal cartons of milk, and six 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows.

  Sugar
(5-lb bag)
Flour
(5-lb bag)
Milk
(1-gal
carton)
Eggs
(1-dozen
carton)
Supermarket I $3.15 $3.79 $2.99 $3.49
Supermarket II $2.99 $2.89 $2.79 $3.29
Supermarket III $3.74 $2.98 $2.89 $2.99
(a) Write a 3 × 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets.
A =
                         
                       
                       
 

(b) Write a 4 × 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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