Question

In a firm, there are two manufacturers - Oliver and Elijah. Oliver has $2$ machine, which are capable to produce $6$ finished goods in a day. Whereas, Elijah has $7$ machines, which produce $21$ finished goods per day. Which manufacturer has more efficient machines?

• A. Machines of Elijah are more efficient.
• B. Machines of both Oliver and Elijah are equally efficient.
• C. Cannot be determined.

Answer 1

The correct option is B Machines of both Oliver and Elijah are equally efficient.

Tabular representation of the provided data is as follows:
Record of Finished Goods Production

Manufacturers	No. of Machine(s)	No. of Finished Goods/day
Oliver	$2$	$6$
Elijah	$7$	$21$

To determine how efficiently each manufacturer's machines perform, we need to calculate the number of finished goods produced by each machine per day for both Oliver and Elijah.

$\underset{–}{\text{For manufacturer Oliver}}$
$\text{Average number of goods produced per day}=\frac{\text{Number of finished goods}}{\text{Number of machines}}$
$\Rightarrow \text{Average number of goods produced per day}=\frac{6}{2}$
$\Rightarrow \text{Average number of goods produced per day}=3$

$\underset{–}{\text{For manufacturer Elijah}}$
$\text{Average number of goods produced per day}=\frac{\text{Number of finished goods}}{\text{Number of machines}}$
$\Rightarrow \text{Average number of goods produced per day}=\frac{21}{7}$
$\Rightarrow \text{Average number of goods produced per day}=3$

As the average number of finished goods produced per day by both Oliver's and Elijah's machines are the same, the machines of Oliver and Elijah are equally efficient.

$\therefore$ Option (b.) is the correct one.