A small company manufactures a touring bike (T), a mountain bike (M), and a racing bike (R). The touring bike retails at $1000, the mountain bike retails at $700, and the racing bike retails at $1,500. The company has two warehouses, one in Adelaide and one in Mount Gambier. The Adelaide warehouse has a stock of 10 T, 15 M, and 20 R. The Mount Gambier warehouse has a stock of 5 T, 15 M, and 10 R.   Let S represent the total number of bikes of each type that the company has in stock. Then S = AW for some matrix A. Write down what the matrix A must be.

Elementary Algebra
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Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
Problem 5.47TI: Geraldine has been offered positions by two insurance companies. The first company pays a salary of...
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A small company manufactures a touring bike (T), a mountain bike (M), and a racing bike (R). The touring bike retails at $1000, the mountain bike retails at $700, and the racing bike retails at $1,500. The company has two warehouses, one in Adelaide and one in Mount Gambier. The Adelaide warehouse has a stock of 10 T, 15 M, and 20 R. The Mount Gambier warehouse has a stock of 5 T, 15 M, and 10 R.

 

  1. Let S represent the total number of bikes of each type that the company has in stock. Then S = AW for some matrix A. Write down what the matrix A must be.

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