The chart below presents room rentals at a beach resort for $2021-2023$ and seasonal indices have been calculated. If we expected the $2024$ annual room rental demand to be a $10\%$ increase from the $2023$ total, determine the room rental forecast for August $2024.$

Month

Demand

Average $2021-2023$

Average Monthly

Seasonal Index

$2021$

$2022$

$2023$

Jan

$80851059095\mathrm{.}00\mathrm{.}948$

Feb

$7085858095\mathrm{.}00\mathrm{.}842$

Mar

$8093828595\mathrm{.}00\mathrm{.}895$

Apr

$909511510095\mathrm{.}01\mathrm{.}053$

May

$11312513112395\mathrm{.}01\mathrm{.}295$

Jun

$11011512011595\mathrm{.}01\mathrm{.}211$

Jul

$10010211310595\mathrm{.}01\mathrm{.}106$

Aug

$8810211010095\mathrm{.}01\mathrm{.}053$

Sep

$8590959095\mathrm{.}00\mathrm{.}948$

Oct

$7778908295\mathrm{.}00\mathrm{.}860$

Nov

$7582938395\mathrm{.}00\mathrm{.}877$

Dec

$82781008795\mathrm{.}00\mathrm{.}913$

$1050$

$1130$

$1239$

$1140$

$104\mathrm{.}5$

You Answered

$105\mathrm{.}6$

$121\mathrm{.}0$

$123\mathrm{.}9$

Correct Answer

$119\mathrm{.}6$

$\backslash$table$[[$Jan$,80,85,105,90,95\mathrm{.}0,0\mathrm{.}948],[$Feb$,70,85,85,80,95\mathrm{.}0,0\mathrm{.}842],[$Mar$,80,93,82,85,95\mathrm{.}0,0\mathrm{.}895],[$Apr$,90,95,115,100,95\mathrm{.}0,1\mathrm{.}053],[$May$,113,125,131,123,95\mathrm{.}0,1\mathrm{.}295],[$Jun$,110,115,120,115,95\mathrm{.}0,1\mathrm{.}211],[$Jul$,100,102,113,105,95\mathrm{.}0,1\mathrm{.}106],[$Aug$,88,102,110,100,95\mathrm{.}0,1\mathrm{.}053],[$Sep$,85,90,95,90,95\mathrm{.}0,0\mathrm{.}948],[$Oct$,77,78,90,82,95\mathrm{.}0,0\mathrm{.}860],[$Nov$,75,82,93,83,95\mathrm{.}0,0\mathrm{.}877],[$Dec$,82,78,100,87,95\mathrm{.}0,0\mathrm{.}913],[,1050,1130,1239,1140,,]]$