The management of a hotel conducted a survey of the tipping practices of its customers. The management found that of the 2560 guests who were surveyed,

• 1785 tip the waitstaff
• 1219 tip the luggage handlers
• 831 tip the maids.
• 275 tip the maids and the luggage handlers
• 700 tip the waitstaff and the maids
• 755 tip the waitstaff and the luggage handlers
• 245 tip all three services.
• 210 do not tip these services at all

Please answer all three questions:

1. Construct a Venn diagram to visually represent the survey results and then show your mathematical/quantitative reasoning to determine the numbers of guests for the unknown regions in the Venn diagram.