Question

In a firm, there are two manufacturers - Carl and William. Carl has $1$ machine, which are capable to produce $5$ finished goods in a day. Whereas, William has $5$ machines, which produce $25$ finished goods per day. Which manufacturer has more efficient machines?

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

Answer 1

The correct option is B Machines of both Carl and William 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
Carl	$1$	$5$
William	$5$	$25$

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 Carl and William.

$\underset{–}{\text{For manufacturer Carl}}$
$\text{Average number of goods produced per day}=\frac{\text{Number of finished goods}}{\text{Number of machines}}$
$\Rightarrow \text{Average number of goods produced per day}=\frac{5}{1}$
$\Rightarrow \text{Average number of goods produced per day}=5$

$\underset{–}{\text{For manufacturer William}}$
$\text{Average number of goods produced per day}=\frac{\text{Number of finished goods}}{\text{Number of machines}}$
$\Rightarrow \text{Average number of goods produced per day}=\frac{25}{5}$
$\Rightarrow \text{Average number of goods produced per day}=5$

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

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