Answer to Question #253306 in Linear Algebra for Ruth

Question

A company in the wholesale trade selling sportswear and stocks two brands, A and B, of football kit, each consisting of a shirt, a pair of shorts and a pair of socks. The costs for brand A are Sh.50 for a shirt, Sh30 for a pair of shorts and Sh10 for a pair of socks and those for brand B are Sh.60.25 for a shirt, Sh.40 for a pair of shorts and Sh.10 for a pair of socks. Three customers X, Y, Z demand the following combinations of brands; X, 36 kits of brand A and 48 kits of brand B Y, 24 kits of brand A and 72 kits of brand B Z, 60 kits of brand

A Required:

i) Express the costs of brands A and B in matrix form, then the demands of the customers, X,Y and Z in matrix form.

Answer 1

The costs of brands A and B

$\begin{matrix} & \textrm{shirt} & \textrm{shorts} & \textrm{socks} \\ \textrm{Brand \ A} & \textrm{Sh50} & \textrm{Sh30} & \textrm{Sh10} \\ \textrm{Brand \ B} & \textrm{Sh60.25} & \textrm{Sh40} & \textrm{Sh10} \end{matrix}$

The demands of the customers

$\begin{matrix} & \textrm{Brand \ A} & \textrm{Brand \ B} \\ \textrm{Customer \ X} & 36 & 48 \\ \textrm{Customer \ Y} & 24 & 72 \\ \textrm{Customer \ Z} & 60 & 0 \\ \end{matrix}$