There are three convenience stores in Gambier. This week, Store I sold 84 loaves of bread, 48 quarts of milk, 12 jars of peanut butter, and 116 pounds of cold cuts. Store II sold 105 loaves of bread, 72 quarts of milk, 24 jars of peanut butter, and 147 pounds of cold cuts. Store III sold 70 loaves of bread, 50 quarts of milk, no peanut butter, and 70 pounds of cold cuts. Complete parts (a) through (c) below.
(a) Use a 3x4 matrix to express the sales information for the three stores. Select the correct answer below.
A.
84 48 12 116
105 72 24 147
70 50 0 70
B.
84 12 116
48 105 72 147
24 70 0 70 50
C.
48 12 116
84 24 105 147
72 70 0 70 50
D.
48 12 84 116
105 24 147 72
70 0 50 70
(b) During the following week, sales on these products increased at Store I by 25%, sales at Store II increased by one-third, and sales at Store III increased by 10%. Write the sales matrix for that week.
A.
105 15 60 145
140 32 96 196
55 0 77 77
B.
105 60 15 145
140 96 32 196
77 55 0 77
C.
105 145 60 15
196 96 140 32
55 77 77 0
D.
105 15 145 60
96 196 32 140
77 77 0 55
(c) Write the matrix that represents total sales over the two-week period.
A.
108 27 189 261
168 56 343 245
105 0 147 147
B.
189 108 27 261
245 168 56 343
147 105 0 147
C.
27 189 261 108
168 56 245 343
147 105 147 0
D.
189 108 261 27
343 168 245 56
105 105 147 0