Answer:
A. Democratic
Explanation:
Leadership is art of guiding & motivating a group of people to achieve a common goal.
Democracy is form of governing based on considerate importance to all people's opinion in group. It is opposite of 'autocratic' governing where leader has immense power & takes decision based on only own opinion.
Joe is considering opinion of all the members of organisation, while taking a decision of purchasing a machine. He paid attention to not only opinion of department heads, but also opinion of other employees. Despite of he & department heads perceiving it to be a good idea, employees considered it to be unnecessary. Thereafter Joe didn't purchase the machine. So, his decision encompassing all people's opinion depicts Democratic Leadership.