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Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.
A manufacturer produces three products $x, y, z$ which he sells in two markets. Annual sales are indicated below:
(a) If unit sale prices of $x, y$ and $z$ are ` 2.50, ` 1.50 and ` 1.00, respectively, find the total revenue in each market with the help of matrix algebra.
A manufacturer produces three products $x, y, z$ which he sells in two markets. Annual sales are indicated below:
(b) If the unit costs of the above three commodities are ` 2.00, ` 1.00 and 50 paise respectively. Find the gross profit.
If $A = \begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}$ is such that $A^2 = I$, then
$1 + \alpha^2 + \beta\gamma = 0$
2.$1 – \alpha^2 + \beta\gamma = 0$
3.$1 – \alpha^2 – \beta\gamma = 0$
4.$1 + \alpha^2 – \beta\gamma = 0$
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