Question

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1 staff cost are estimated to be 18% of accommodation revenue

2 purchases are estimated to be 15% of accommodation revenue

3 marketing costs are estimated to be 5% of accommodation revenue

4 Administration costs of $200,000 are allocated based on floor space

5 utilities cost has an allocation of $30 per square metre floor space plus 3% of accommodation revenue

6 maintenance cost has an allocation of $50 per square metre floor space plus 9% of accommodation revenue

7 Other operating expenses of $300,000 are allocated based on floor space

Required:

(a) Reconstruct the income statement using the contribution margin format, clearly show separate columns for each room type and maintaining a total column.

(b) Calculate sales mix (based on accommodation revenue) for Lux Hotel.

(c) Calculate the weighted average contribution margin (WACM) per night stay of each room type and total WACM.
(d) Determine the overall break-even level of rooms and number of night stay of each room type.

(e) Calculate the margin of safety per room type. (6 marks) (f) Suppose that Lux Hotel desires to earn a $500,000 profit. Determine the occupancy rates required to earn the desired profit.

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Answer #1
A)Annual Income statement of Lux Hotel 5 star Hotel
Bed 1 Bed 2 Bed 3 Total
Accomodation Revenue(1)            4,276,800.00             31,752,000.00          11,340,000.00             47,368,800.00
(area per room*no of rooms*floor space*planned occupancy*avg selling price)
Cost of goods sold
Staff costs (18%* (1))                769,824.00               5,715,360.00            2,041,200.00               8,526,384.00
Purchse costs (15%*(1))                641,520.00               4,762,800.00            1,701,000.00               7,105,320.00
Total Cost of Goods Sold            1,411,344.00             10,478,160.00            3,742,200.00             15,631,704.00
Contribution Margin(accomodation rev less cost of goods sold)            2,865,456.00             21,273,840.00            7,597,800.00             31,737,096.00
Operating expenses
Administration cost(on the basis of floor space)(1:2:1)                  50,000.00                   100,000.00                  50,000.00                   200,000.00
Marketing cost (5%(1))                213,840.00               1,587,600.00                567,000.00               2,368,440.00
utilities cost(($ 30 * per square metre floor space)+3%*(1))                133,704.00                   963,360.00                345,600.00               1,442,664.00
maintenance cost (($ 50 per square metre floor space)+9%* (1))                393,912.00               2,875,680.00            1,029,600.00               4,299,192.00
Other operating expenses                  75,000.00                   150,000.00                  75,000.00                   300,000.00
Total Operating Cost                866,456.00               5,676,640.00            2,067,200.00               8,610,296.00
                                   -  
Net Profit (contribution less operating exp)            1,999,000.00             15,597,200.00            5,530,600.00             23,126,800.00
B)Sales Mix For Lux Hotel
Bed 1 Bed 2 Bed 3
sales mix based on accomodation revenue
(Actual sales/budgeted sales)
Actual sales            4,276,800.00             31,752,000.00          11,340,000.00
budgeted sales                433,620.00               1,073,100.00                383,250.00
                            9.86                             29.59                           29.59
C)The weighted average contribution margin (WACM) per night stay of each room type and total WACM.
Bed 1 Bed 2 Bed 3 Total
Contribution Margin(accomodation rev less cost of goods sold) $        2,865,456.00 $        21,273,840.00 $        7,597,800.00 $        31,737,096.00
Selling price per night stay(avg sp*365*occupancy rate) $              48,180.00 $                 89,425.00 $            127,750.00 $              265,355.00
Contribution margin per night stay $                      59.47 $                       237.90 $                      59.47 $                       119.60
D)the overall break-even level of rooms and number of night stay of each room type.
Total
contribution $      31,737,096.00
sales $      47,368,800.00
Profit volume ratio
(contribution/sales)*100 67%
overall break even point or break even sales $      12,851,188.06
(total operating cost/p/v ratio)
Days
Total No of night stay to earn the break even sales 37250
For Bed 1 12417
For Bed 2 14486
For Bed 3 10347
to be shared in proportion of rooms occupied annually

E) margin of safety=actual sales less break even sales

= 47368800 - 12851188.06 = $ 34517611.94

F)( (8610296+500000)/31737096)*100= 29%

(total operating cost + desired profit)/total contribution margin

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