Answer to Question #257224 in Linear Algebra for Ahmad

Question #257224

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, sh 30 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 branda 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. (5 marks)ii) by forming the product of the two matrices that you obtain in the previous part, deduce the detailed costs to each of the customers. (5 marks)


1
Expert's answer
2021-10-27T15:41:53-0400

i)

The costs of brands a and b:


shirt shorts socks

brand a 50 30 10

brand b 60.25 40 10


The demands of the customers:


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


ii)

detailed costs to each of the customers:

"\\begin{pmatrix}\n 36 & 48 \\\\\n 24 & 72\\\\\n60&0\n\\end{pmatrix}\\begin{pmatrix}\n 50 & 30&10 \\\\\n 60.25 & 40&10\n\\end{pmatrix}=\\begin{pmatrix}\n 4692 & 3000& 840 \\\\\n 5538 & 3600& 960 \\\\\n3000 & 1800&600\n\\end{pmatrix}"


"\\begin{matrix}\n& \\textrm{ shirt} & \\textrm{shorts}& \\textrm{socks} \\\\\n\\textrm{Customer \\ X} & 4692 & 3000&840 \\\\\n\\textrm{Customer \\ Y} & 5538 & 3600&960 \\\\\n\\textrm{Customer \\ Z} & 3000 & 1800&600 \\\\\n\\end{matrix}"


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS