A company is preparing to launch a new web site to sell its products. From past experience, they know that purchases at the site
will occur as a Poisson process with on average 30 purchases every 10 minutes.
a) What is the expected time in minutes before the first purchase after the site opens? Give your answer to four decimal places.
b) What is the probability that more than 0.14 minutes pass before the first purchase? Give your answer to four decimal places.
c) What is the expected time in minutes until the fifth purchase? Give your answer to four decimal places.
a) What is the expected time in minutes before the first purchase after the site opens? Give your answer to four decimal places.
b) What is the probability that more than 0.14 minutes pass before the first purchase? Give your answer to four decimal places.
c) What is the expected time in minutes until the fifth purchase? Give your answer to four decimal places.
1 answer:
You might be interested in
Answer:
9.24 yr
Explanation:
The payback period refers to the amount of time it takes to recover the cost of an investment. In order to find a payback period we need to go through some calculations first
Annual savings = 5 MM Btu/hr x 8,000 hr/yr x $4/MM Btu x 14 MM Btu/hr x 8,000 hr/yr x $7/MMBtu
Annual savings = $0.944 MM/yr
TCI =
TCI = $4.7 MM
Depreciation - Annualized fixed cost =
Depreciation - Annualized fixed cost = $0.4 MM/yr
Total cost annualized = Annualized fixed cost + Annual operating cost
Total cost annualized = 0.4 + 0.5
Total cost annualized= 0.9 MM/yr
Annual net (after-tax) profit = Annual income - Total cost annualized x (1-Tax rate + Depreciation
Annual net (after-tax) profit = $0.944 MM/yr - $0.9 MM/yr x 1 -0.25 + $0.4 MM/yr
Annual net (after-tax) profit = 0.433MM/yr
Payback period =
Payback period = 9.24 yr