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  • 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 (b) If the unit costs of the above three commodities are 2.00, 1.00 and 50

Q10.    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

            (b) If the unit costs of the above three commodities are ` 2.00, ` 1.00 and 50 paise respectively. Find the gross profit.

Answers (1)

best_answer

The unit costs of the above three commodities are ` 2.00, ` 1.00 and 50 paise respectively.

The total cost price in market I with the help of matrix algebra can be represented as :

\begin{bmatrix} 10000& 2000 & 18000 \end{bmatrix} \begin{bmatrix} 2.00\\ 1.00\\ 0.50 \end{bmatrix}

= 10000\times 2.00+2000\times 1.00+18000\times 0.50

= 20000+2000+9000

= 31000

Total revenue in the market I is 46000 , gross profit in the market is = 46000-31000=Rs. 15000

 

The total cost price in market II with the help of matrix algebra can be represented as :

\begin{bmatrix} 6000& 20000 & 8000 \end{bmatrix} \begin{bmatrix} 2.00\\ 1.00\\ 0.50 \end{bmatrix}

= 6000\times 2.0+20000\times 1.0+8000\times 0.50

= 12000+20000+4000

= 36000

Total revenue in market II is 53000, gross profit in the market is= 53000-36000= Rs. 17000

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seema garhwal

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