$8\mathrm{.}12.$ Given the following average demand for each month, calculate the seasonal indices for each month.

Month

Average demand

Seasonal Index

January

$30$

$\mathrm{.}28$

Feburay

$50$

$\mathrm{.}46$

March

$85$

$\mathrm{.}78$

April

$110$

$1\mathrm{.}01$

May

$125$

$1\mathrm{.}15$

June

$245$

$2\mathrm{.}25$

July

$255$

$2\mathrm{.}34$

August

$135$

$1\mathrm{.}24$

Semptmber

$100$

$\mathrm{.}92$

October

$90$

$\mathrm{.}83$

November

$50$

$\mathrm{.}46$

December

$30$

$\mathrm{.}28$

$1305$

$1,305/12=108\mathrm{.}75$

$8\mathrm{.}13.$ Using the data in problem $8\mathrm{.}12$ and the seasonal indices you have calculated, calculate expected monthly demand if the annual forecast is $2000$ units.

Month

Seasana Index

Forcast

January

$47$

Feburay

$77$

March

$130$

April

$168$

May

$192$

June

$375$

July

$390$

August

$207$

Semptmber

$153$

October

$138$

November

$77$

December

$47$