Answer:
$185,400
Explanation:
Price of next best alternative = $150,000
Expected crash system saving:
= (Probability of crash × cost of a system crash) - (Probability of machine will crash × cost of a system crash)
= [(15% × 500,000) - (5% × 500,000)]
= $75,000 - $25,000
= $50,000
Added operating cost true economic value:
= (Number of hours in 365 days × machine cost per hour) - (Number of hours in 365 days × Next best alternative cost per hour)
= [(2,920 × $20/hr) - (2,920 × $15/hr)]
= $58,400 - $43,800
= $14,600
True economic value (TEV) of the machine:
= Price of next best alternative + Expected crash system saving - Added operating cost true economic value
= $150,000 + $50,000 - $14,600
= $185,400
Yeah that’s what it means
A year has two semesters, then
n = 2<span>v(t)=p<span><span>(<span>1+<span>r/2</span></span>)</span><span>2t
</span></span></span><span>
3875.79 = 1900∗<span><span>(<span>1+(<span>0.04/2)</span></span>)^</span><span>2t
</span></span></span><span>
2.0398895 = <span><span>(<span>1+<span>0.042</span></span>)^</span><span>2t
</span></span></span>Apply natural logarithm on both sides
<span>ln(2.0398895) = ln<span>[<span><span>(<span>1+<span>0.042</span></span>)^</span><span>2t</span></span>]
Then simplify,
</span></span><span>0.712896 = 2t∗ln(1.02)
</span><span>t = <span>0.712896 / (<span>2∗ln(1.02))
</span></span></span><span><span>
t=18 years
I hope my answer helped you. Have a nice day!</span></span>
