Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Matrices
0 votes

A manufacturer produces three products \( x, y, z \) which he sells in two markets. Annual sales are indicated below: \[ \begin{array} { c c } \textbf{Market} & \textbf{Products} \\ I & 10,000 \quad 2,000 \quad 18,000 \\ II & 6,000 \quad 20,000 \quad 8,000 \end{array} \] If the unit costs of the above three commodities are Rs 2.00, Rs 1.00 and 50 paise respectively. Find the gross profit.

This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com

Can you answer this question?

1 Answer

0 votes
  • If A is an m-by-n matrix and B is an n-by-p matrix, then their matrix product AB is the m-by-p matrix whose entries are given by dot product of the corresponding row of A and the corresponding column of B: $\begin{bmatrix}AB\end{bmatrix}_{i,j} = A_{i,1}B_{1,j} + A_{i,2}B_{2,j} + A_{i,3}B_{3,j} ... A_{i,n}B_{n,j}$
Step 1: (b) Given
The unit cost price of commodities x,y and z are given respectively as Rs 2.00,Rs 1.00 and 0.50 paise. Thus cost price of each market can be obtained by
$\begin{bmatrix}10000 & 2000 & 18000\\6000 & 20000 & 8000\end{bmatrix}\begin{bmatrix}2.00\\1.00\\0.50\end{bmatrix}$
$\begin{bmatrix}10000\times 2+ 2000\times 1 + 18000\times 0.50\\6000\times 2+20000\times 1+8000\times 0.5 \end{bmatrix}$
$\begin{bmatrix}20000+2000+9000\\12000+20000+4000 \end{bmatrix}$
Total cost price =31000+36000=67000.
Step 2: From the subdivision (i) we have the revenue cost as 99000
Gross profit =Revenue cost - Total cost price
Gross profit=Rs 32000.
answered Mar 16, 2013 by sharmaaparna1
edited Mar 19, 2013 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App