Answer:
Desing B
<u><em>Total Present worth</em></u>     $  502.485,35
<u><em>Annual worth:</em></u>              $    49,722.003 
Option 2:
<u><em>Total Present worth</em></u>     $  666.441,33
<u><em>Annual worth:</em></u>              $   53,845.798
Explanation:
<h2>Desing A</h2>
$85 x 5280     =   448,800
$4 x 3 x 5280  =     63,360
$8000 x 4        = <u>    32,000  </u>
total cost:                544,160
Annual cost:
11,800 + 300 = 12,100
PV of the annual maintenance:
 
 
C	12,100.00
time	16
rate	0.06
 
 
PV	$122,281.3328 
<u><em>Present worth:</em></u>
total cost to construct  544,160 + maintenance $122,281.33 = 666.441,33
<u><em>Annual worth:</em></u>
 
 
PV	544,160
time	16
rate	0.06
 
 
C  $ 53,845.798 
<h2>
Desing B</h2>
a mile is equivalent to 5,280 foot
paviment $40 x 5,280 = $ 211,200
sood ditched 2 per foot x 5,280 foot per mile x $1.40 = $ 12,038.4
pipe culvert 2,200 x 2 = 4,400
Total value to construct: 227.638,4
PV of maintenance:
replacement 2,400 x 2 = 4,800 (in 8 years)
  
  
 Maturity  $4,800.0000 
 time  8.00
 rate  0.06000
  
  
 PV   3,011.5794 
maintenance $2,900
culverts 2 x $ 230 = $ 460
ditch 1.45 x 5,280 x 2 = $ 15,312
Total yearly cost: 18.672
PV of this annuity over 16 years:
 
 
C	18,672.00
time	16
rate	0.06
 
 
PV	$188,697.2765 
PV of the replacement bituminous concrete 
  
  
 Maturity  $211,200.0000 
 time  16.00
 rate  0.06000
  
  
 PV   83,138.0951 
<u><em>Present worth:</em></u>
Total value to construct: $  227.638,4 +
yearly cost PB                 $  188,697.28 +
concrete replacement    $ 83,138.0951
culvert replacement:       $<u>   3,011.58      </u>
Total Present worth        502.485,35
<u><em>Annual worth:</em></u>


C  $ 49,722.003 
<em><u /></em>