Question

In a firm, there are two manufacturers - Carl and William. Carl has $10$ machines, which are capable to produce $50$ finished goods in a day. Whereas, William has $15$ machines, which produce $75$ finished goods per day. Which manufacturer has more efficient machines?

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

Answer 1

The correct option is C 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 Machines	No. of Finished Goods/day
Carl	$10$	$50$
William	$15$	$75$

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.

$\underset{–}{\text{For manufacturer Carl}}$
$\text{Average number of goods produced per day}=\frac{\text{Number of finished goods}}{\text{Number of machines}}$
$\Rightarrow \text{Average number of goods produced per day}=\frac{50}{10}$
$\Rightarrow \text{Average number of goods produced per day}=5$

$\underset{–}{\text{For manufacturer William}}$
$\text{Average number of goods produced per day}=\frac{\text{Number of finished goods}}{\text{Number of machines}}$
$\Rightarrow \text{Average number of goods produced per day}=\frac{75}{15}$
$\Rightarrow \text{Average number of goods produced per day}=5$

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 (c.) is the correct one.