Question 3.D: A microbrewery was built in 2014 at a total cost of $650,000...

A  microbrewery  was built  in 2014 at  a total cost of $650,000.  Additional  information  is given  in the  accompanying table  (all  year  2000 indices  =  100). (3.3)

Cost Element

Average

Percentage of

Total Brewery Cost

Index

(2016)

Index

(2020)

Labor

30 160 200
Materials 20 145

175

Equipment

50 135

162

a. Calculate a weighted index for microbrewery construction in 2020.
b. Prepare a budget estimate for a microbrewery in 2020.

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(a) \bar{I} _{2020}    = 0.30(200) + 0.20(175) + 0.50(162)  = 176

(b) \bar{I} _{2016} = 0.30(160) + 0.20(145) + 0.50(135) = 144.5

C_{2020}    =  $650,000 \left(\frac{176}{144.5} \right) = $791,696

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