Answered Essay: Attendance at​ Orlando's newest Disney like​ attraction, Lego​ World, has been as​ follows: Guests are in thousdands.

Attendance at​ Orlando’s newest Disney like​ attraction, Lego​ World, has been as​ follows: Guests are in thousdands.

Quarter      Guests       Quarter      Guests
Winter Year 1      68      Summer Year 2      120
Spring Year 1      89      Fall Year 2 54
Summer Year 1 168 Winter Year 3 99
Fall Year 1 75      Spring Year 3      151
Winter Year 2      63      Summer Year 3      207
Spring Year 2      82      Fall Year 3 99

Based on the given​ attendance, the seasonal indices for each of the seasons are ​(round your responses to three decimal

​places)​:

Season Index

Expert Answer

 

To findout the seasonal indices for each seasons,we need to find out the following for each year:

Total attendeance for the year = Sum of the attendance of all the seasons in that year

average quarterly attendance for the year = Total attendance for the year / 4

Seasonal index for each seasons in the year = Demand for the season of the year/ Average quarterly demand for the year

Using the above formulas the following calculations for year 1,year 2 and year 3 are made:

For year 1:

  • Total attendance = (68+89+168+75) = 400
  • Average quarterly attendance = 400/4 = 100
  • Seasonal index for winter year 1 = 68/100 = 0.68
  • Seasonal index for Spring year 1 = 89/100 = 0.89
  • Seasonal index for summer year 1 = 168/100 = 1.68
  • Seasonal index for fall year 1 = 75/100 = 0.75

For year 2 :

  • Total attendance = 63+82+120+54 = 319
  • Average quarterly attendance = 319/4 = 79.75
  • Seasonal inxed for winter year 2 = 63/79.75 = 0.790
  • Seasonal index for Spring year 2 = 82/79.75 = 1.028
  • Seasonal index for Summer year 2 = 120/79.75 = 1.505
  • Seasonal index for fall year 2 = 54/79.75 = 0.677

For year 3 :

  • Total attendance = 99+151+207+99 = 556
  • Average quarterly attendance = 556/4 = 139
  • Seasonal inxed for winter year 3 = 99/139 = 0.712
  • Seasonal index for Spring year 3 = 151/139 = 1.086
  • Seasonal index for Summer year 3 = 207/139 = 1.489
  • Seasonal index for fall year 3 = 99/139 = 0.712

Seasonal index for Winter = (Seasonal index for winter year 1+seasonal index for winter year 2+Seasonal index for winter year 3) / Number of years

= (0.68 + 0.790 + 0.712) / 3

0.727

Seasonal index for Spring =(Seasonal index for spring year 1+seasonal index for spring year 2+seasonal index for spring year 3) / Number of year

=(0.89 + 1.028 + 1.086) / 3

1.001

Seasonal index for Summer =(Seasonal index for summer year 1+seasonal index for summer year 2+seasonal index for summer year 3) / Number of year

= (1.68 + 1.505 + 1.489) / 3

1.558

Seasonal index for Fall =(Seasonal index for fall year 1+seasonal index for fall year 2+seasonal index for fall year 3) / Number of year

= (0.75 + 0.677 + 0.712) / 3

0.713

So the final answer is:

Season Index

Winter 0.727

Spring 1.001

Summer 1.558

Fall 0.713

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