Use the following problem statement to answer questions $1-6.$

A manager wants to make annual purchasing plans for gardening items. One of the items the company stocks is Fast$-$Grow, a liquid fertilizer. The sales of the item are seasonal. Quarterly demand $($in cases$)$ for the past two years is shown in the table. The manager knows that the expected sales for Fast$-$Grow are $680$ cases for year $3.$ The actual demands from Quarter $1$ of year $1$ to Quarter $4$ of year $2$ are shown in the table below. Use the multiplicative seasonal method to prepare a forecast for each quarter of the year. Round to four decimal places when you calculate all centered averages and seasonal indexes. $[$Note: Seasonal index $=($sales$)/($centered average$).$ Four$-$period centered average $=($Dt $+$ Dt$+1+$ Dt$+2+$ Dt$+3)/4.$ Adjusted seasonal index $=(($each avg. index$)(4))/($sum of avg. indexes$)]$

What is the two$-$period centered average for Q$3$ of year $1?$

Group of answer choices

$131\mathrm{.}6721$

$155\mathrm{.}7500$

Flag question: Question $2$

Question

What is the two$-$period centered average for Q$4$ of year $1?$

Group of answer choices

$153\mathrm{.}5000$

$131\mathrm{.}6721$

Flag question: Question $3$

Question

What is the two$-$period centered average for Q$2$ of year $2?$

Group of answer choices

$152\mathrm{.}0000$

$149\mathrm{.}6721$

Flag question: Question $4$

Question

What is the forecast for Q$3$ of year $3?$

Group of answer choices

$159\mathrm{.}7301$

$171\mathrm{.}4477$

$167\mathrm{.}2800$

Flag question: Question

What is the two$-$period centered average for Q$1$ of year $2?$

Group of answer choices

$125\mathrm{.}7500$

$148\mathrm{.}5000$

Question $6$

What is the adjusted seasonal index for Q$1$ of year $3?$

Group of answer choices

$0\mathrm{.}6610$

$0\mathrm{.}4610$