A store sells three products, product A, product B and product C. The store has

Question

A store sells three products, product A, product B and product C. The store has to spend 2 dollars to get one unit of product A, 3 dollars to get one unit of product B and 4 dollars to get one unit of product C. The retail price of product A is 3 dollars, the one of product B is 5 dollars while the one of product C is 6 dollars. In a given day, the store sells 10 units of product A, 11 units of product B and 4 units of product C. What does the linear combination 10[2 3] + 11[3 5] +4 [4 6] represent?

Explanation / Answer

The upper row of matrix are 2 ,3 ,4 which are nothing but the cost of products.

The bottom row is 3, 5, 6 which is the price of products.

The coefficients 10 , 11 ,4 are the no. of products of each category.

Hence the linear combination provides the total cost - price of products sold.

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