A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below:
Market                     Products     
I                10.000     2.000         18.000
II               6.000       20.000       8.000
(a) 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.(b) If the unit costs of the above three commodities are Rs 2.00, Rs 1.00 and 50paise respectively. Find the gross profit.

Explanation

To solve the given problem step by step, we will break it down into two parts as outlined in the question.

### Part (a): Finding Total Revenue in Each Market

1. **Define the Sales Matrix:**
The annual sales for products x, y, and z in the two markets can be represented as a matrix:
\[
A = \begin{bmatrix}
...