Answer:
Based on the given information related to costs for each of the options, the crossover point for Tim = <u>6,000</u> room nights (round your response to the nearest whole number). If the number of room nights is less than the crossover point, then <u>OUTSOURCING (Duffy's Maid Service)</u> 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 <u>INSOURCING (doing it himself)</u>.
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
