$(35\mathrm{.}00$ Points$)$

$1.$

Metro Food Vending operates vending machines in office buildings, the airport, bus stations, colleges, and other businesses and agencies around town, and it operates vending trucks for building and construction sites. The company believes its sandwich sales follow a seasonal pattern. It has accumulated the following data for sandwich sales per season during the past $4$ years:

$\backslash$table$[[$Year$,$Sandwich Sales $(1,000$s$)/$Year$],[$FALL$,$WINTER,SPRING,SUMMER,$],[43,37,51,68,],[2,44,40,56,65,],[3,46,39,49,71,],[4,41,40,47,75,]]$

Forecast demand for summer season for year $5$ by using multiplicative seasonal method if the total sandwich sales for year $5$ is estimated to be $220.$

a$)9\mathrm{.}20$

b$)81\mathrm{.}20$

c$)75\mathrm{.}59$

d$)77\mathrm{.}45$

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