Answer:
Economical thickness is 3.823 units
<u>Explanation:</u>
Insulation Annual Cost=2000+650t
Energy cost of heat loss=19000*(t) ^ (-0.5)
Total annual Cost=2000+650t+19000t ^ (-0.5)
<u>We need to find optimum value of thickness such that Total annual cost is minimum.</u> Therefore, we have dC/dt=0 and d^C/dt^2>0
Equation 1)
...........dC/dt=650-9500t^-1.5
Equation 2)
...........d^C/dt^2=4750t^-1.5
<u>For 1) </u>we have 650-9500t^(-1.5)=0
650/9500=t^-0.5
190/13=t^0.5
t=3.823 units
Hence, if we check for obtained value of "t" we have second order condition met then
d^2C/dt^2=4750*(3.823)^(-1.5)=635.4584551>0 by the way for any value of "t">0 we will suffice second order condition
Hence, economical thickness is 3.823 units
The answer is<u> "Claim will be paid and coverage will remain in force</u>".
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Six acres of prime undeveloped property are sold for $2.25 per square foot. The buyer should pay $588060
It is calculated as:
1 acre= 43560 sq ft.
Therefore 6 acre = 43560*6 = 261360 sq ft.
Property is sold for $2.25 per sq. ft
Therefore the price is calculated by multiplying the rate of per sq ft with the total sq ft area.
= 261360* $2.25
=$588060
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