Tim Urban, owner/manager of Urban's Motor Court in Key West, is considering outsourcing the daily room cleanup for his motel to Duffy's Maid Service. Tim rents an average of 50 rooms for each of 365 nights (365 times 50 equals the total rooms rented for the year). Tim's cost to clean a room is $12.50. The Duffy's Maid Service quote is $18.50 per room plus a fixed cost of $25, 000 for sundry items such as uniforms with the motel's name. Tim's annual fixed cost for space, equipment, and supplies is $61, 000. Based on the given information related to costs for each of the options, the crossover point for Tim = _________room nights (round your response to the nearest whole number). If the number of room nights is less than the crossover point, then_________ is the best option available to Tim. Based on the given room nights that Tim expects to rent (18, 250), the best option is to___________

Respuesta :

Answer:

Based on the given information related to costs for each of the options, the crossover point for Tim = 6,000 room nights (round your response to the nearest whole number). If the number of room nights is less than the crossover point, then OUTSOURCING (Duffy's Maid Service) is the best option available to Tim. Based on the given room nights that Tim expects to rent (18, 250), the best option is to keep doing the service INSOURCING (doing it himself).

Explanation:

Currently, before outsourcing, Tim's total cost = $228,125 + $61,000 = $289,125. On average, he spends $15.84247 per room.

The Duffy's Maid Service offer would represent a total cost of $337,625 + $25,000 = $362,625 for the same occupation level.

the crossover point for Tim:

12.5x + 61,000 = 18.5x + 25,000

36,000 = 6x

x = 6,000 room nights

(6,000 x 12.50) + 61,000 = (6,000 x 18.50) + 25,000 = $136,000