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A firm uses four different raw materials A,B,C and D in the production of its product.The number of units...?
..of A,B,C and D used per unit of the product are 4,3,2 and 5 respectively. The cost per unit of the four raw materials is R5, R7, R6 and R3 respectively. Express the total cost of raw materials per unit of the product as the product of two matrices.
Please help.
1 Answer
- mecdubLv 71 decade agoFavorite Answer
Total cost = Sum of [(Number of units produced)*(Unit Price)]
Or,
Total cost = 4*R5 + 3*R7 + 2*R6 + 5*R3
The stuff on the right side of the equation is the result of a dot product, so your matrices will be
[4, 3, 2, 5] · [R5, R7, R6, R3]
In traditional matrix form, the "R" matrix will have one column. (Because to multiply matrices you need to have the same number of rows in one matrix as the number of columns in the other)
[R5 [4, 3, 2, 5]
R7
R6
R3]
