A small furniture factory produces standardised stools, chairs and tables using both metal and plast

Question

A small furniture factory produces standardised stools, chairs and tables using both metal and plastic as raw materials. The table below shows the amount of each raw material required to make one unit of each type of furniture.

Furniture Item	Amount of raw material needed (in kg)
Furniture Item	Metal	Plastic
Stool	$1$	$2$
Chair	$4$	$2$
Table	$10$	$4$

Given $68$ kg of metal and $32$ kg of plastic, determine the number of each type of furniture that could be produced such that all three types of furniture are made, and all the raw materials are fully utilised.[4]

Accepted Answer

$2$ stools, $4$ chairs and $5$ tables.

2024 EJC Promo Q1

2024 EJC Promo Q1

Solution:

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