MBA-501-X3333 Math and Stats for Business 18TW3 Test: 9-2 MyMathLab: Final Exam
ID: 3138124 • Letter: M
Question
MBA-501-X3333 Math and Stats for Business 18TW3 Test: 9-2 MyMathLab: Final Exam This Question: 13 pts A national chain of clothing goods stores recently sent shipments to the following stores. The number of items shipp tem. Jeans Jackets Sweaters Shirts Total Cost Store A 4000 2000 2300 4100 $454,250 Store B 3700 1500 2100 4200 403,175 Store C 5000 3000 2400 6500 609,600 Store D 7000 1900 600 7000 530.250 The cost of a pair of jeans is s The cost of a jacket is s The cost of a sweater is s The cost of a shirt is s Enter your answer in each of the answer boxesExplanation / Answer
Let the costs of a pair of jeans, a jacket, a sweater and a shirt be $ x,y,z and w respectively. Then we have 4000x+2000y+2300z+4100w = 454250 …(1)
3700x+1500y+2100z+4200w = 403175…(2)
5000x+3000y+2400z+6500w = 609600…(3) and
7000x+1900y+600z+7000w = 530250…(4)
The augmented matrix of this linear systemis A (say) =
4000
2000
2300
4100
454250
3700
1500
2100
4200
403175
5000
3000
2400
6500
609600
7000
1900
600
7000
530250
The RREF of A is
1
0
0
0
131/4
0
1
0
0
69
0
0
1
0
44
0
0
0
1
41/2
Hence, the price of a pair of jeans is $ 131/4 = $ 32.75.
the price of a jacket is $ 69.
the price of a sweater is $ 44.
4000
2000
2300
4100
454250
3700
1500
2100
4200
403175
5000
3000
2400
6500
609600
7000
1900
600
7000
530250
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