Question

Mr. Smith at Acme Production, Inc. is trying to determine the true economic value (TEV) for a new computerized machine. This machine costs $20 per hour to operate and can be used for a year before it needs to be replaced. A system crash costs $500,000, and the probability that the machine will crash is 5%. The next-best alternative has a price of $150,000. It can also be used for a year and costs $15 per hour to operate. The cost of a system crash for this alternative is also $500,000, and the probability that it will crash is 15%. Acme plans to operate this machine 8 hours per day, 365 days, over the next year. The true economic value (TEV) of the machine is: $185,400. $175,000. $154,000. $210,400.

Answer 1

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