Use the following forest stand age and yield $($ft$3/$acre$)$ data to answer questions $1$ through $10.$ Stand ft$3/$acre Age Volume

$1-$ Identify the age at which the stand$$s mean annual increment $($MAI$)$ is maximum.

$2-$Calculate the periodic annual increment between stand ages $63$ and $64$ years. Your answer should be in cubic feet.

$3-$Calculate the $\%$ annual change in tree growth from year $25$ to year $26.$ Round to the nearest $0\mathrm{.}1\%($i$.$e$.,$ xx$.$x$\%)$

$4-$Assume each cubic foot of wood harvested will generate a benefit of $$2\mathrm{.}00($i$.$e$.,$ the value of the standing tree is $$2\mathrm{.}00$ per ft$3).$ Indicate the annual percent change in the stand$$s timber value from year $41$ to year $42.$ Round your answer to the nearest $0\mathrm{.}1\%($i$.$e$.,$ xx$.$x$\%)$

$5-$Identify the financially$-$optimum age to harvest this stand one time, based on a stumpage price of $$4/$ft$3$ and a $2\%$ discount rate. In other words, ignore any value of the land and timber after the $1$st harvest.

$6-$Recalculate the financially$-$optimum age to harvest this stand one time when the stumpage price is $$3/$ft$3$ and the discount rate is $5\%.$

$7-$Identify the financially$-$optimum harvest age to harvest this stand over an infinite number of rotations using an assumed stumpage price of $$9/$ft$3$ and a $2\%$ discount rate

$8-$Recalculate the financially$-$optimum age to harvest this stand over an infinite number of rotations when the stumpage price is $$2/$ft$3$ and the discount rate is $3\%.$

$9-$Assume you plan to sell the land for $$1,000$ per acre after conducting the initial timber harvest. Identify the financially$-$optimum harvest age for harvesting this stand one time, then selling the land when stumpage prices are assumed to be $$3/$ft$3$ and the discount rate is $1\%.$

$10-$Recalculate the financially$-$optimum harvest age for harvesting this stand one time, then selling the land when the expected land sale price after harvest is $$750$ per acre, stumpage prices are assumed to be $$5/$ft$3$ and the discount rate is $4\%$

Stand ft$3/$acre

Age Volume

$103$

$115$

$129$

$1315$

$1423$

$1533$

$1645$

$1759$

$1875$

$1993$

$20113$

$21135$

$22159$

$23185$

$24213$

$25243$

$26275$

$27309$

$28345$

$29383$

$30423$

$31465$

$32509$

$33555$

$34603$

$35653$

$36705$

$37759$

$38815$

$39873$

$40933$

$41995$

$421,059$

$431,125$

$441,193$

$451,263$

$461,335$

$471,409$

$481,485$

$491,559$

$501,631$

$511,701$

$521,769$

$531,835$

$541,899$

$551,961$

$562,021$

$572,079$

$582,135$

$592,189$

$602,241$

$612,291$

$622,339$

$632,385$

$642,429$

$652,471$

$662,511$

$672,548$

$682,585$

$692,619$

$702,651$

$712,681$

$722,709$

$732,735$

$742,759$

$752,781$

$762,801$

$772,819$

$782,835$

$792,849$

$802,861$

$812,871$

$822,879$

$832,885$

$842,889$

$852,891$

$862,891$

$872,889$

$882,885$

$892,879$

$902,871$

$912,861$

$922,849$

$932,835$

$942,819$

$952,801$

$962,781$

$972,759$

$982,735$

$992,709$

$1002,681$