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Question

A man buys 8 dozens of mangoes, 10 dozens of apples and 4 dozens of bananas. Mangoes cost Rs. 18 per dozen, apples Rs. 9 per dozen and bananas Rs. 6 per dozen. Represent the quantities bought by a row matrix and the prices by a column matrix and hence obtain the total cost. in Rs

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Solution

Let A the row matrix representing the quantities bought, then A=[8104] is a 1×3 matrix.
Let B be the column matrix representing the cost of mangoes,apples and bananas per dozen the B=1896 is a 3 x 1 matrix

The total cost is given by the product AB

and AB=[8104]1896=[144+90+24]=[258]

Hence, the total cost is Rs 258

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