Question

A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below :
If unit sale prices of x, y and z are Rs. 2.50, Rs. 1.50 and Rs. 1.00, respectively, find the total revenue in each market with the help of matrix algebra.

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Solution

Let space straight A space be space the space product space matrix comma space straight B space be space the space price space matrix straight A equals space open square brackets table row 10000 2000 18000 row 6000 20000 8000 end table close square brackets space comma space straight B equals open square brackets table row 10000 2000 18000 row 6000 20000 8000 end table close square brackets space therefore space space AB equals space open square brackets table row 10000 2000 18000 row 6000 20000 8000 end table close square brackets space open square brackets table row 10000 2000 18000 row 6000 20000 8000 end table close square brackets space space space space space space space space space space space space equals space open square brackets table row cell 10 space 000 space cross times space 2.50 plus 2 space 000 space cross times space 1.50 space plus 18000 space cross times space 1.00 end cell row cell 6000 cross times space 2.50 plus space 20 space 000 space cross times space 1.50 plus 8000 space cross times 1.00 end cell end table close square brackets space space space space space space space space space space space equals space open square brackets table row cell 25000 plus 3000 plus 18000 end cell row cell 15000 plus 30000 plus 8000 end cell end table close square brackets space equals space open square brackets table row 46000 row 53000 end table close square brackets therefore space revenue space in space market space straight I space equals space Rs. space 46 space 000 space space and space revenue space in space market space II space equals space Rs. space 53000. space space Total space revenue space equals space Rs. space left parenthesis 46000 space plus space 53000 right parenthesis space equals space Rs. space 99000

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Matrices

A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below :
If unit sale prices of x, y and z are Rs. 2.50, Rs. 1.50 and Rs. 1.00, respectively, find the total revenue in each market with the help of matrix algebra.

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For Daily Free Study Material Join wiredfaculty

Matrices

A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below : If unit sale prices of x, y and z are Rs. 2.50, Rs. 1.50 and Rs. 1.00, respectively, find the total revenue in each market with the help of matrix algebra.

Some More Questions From Matrices Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below :
If unit sale prices of x, y and z are Rs. 2.50, Rs. 1.50 and Rs. 1.00, respectively, find the total revenue in each market with the help of matrix algebra.