In: Accounting
MidWest Amusements is in the process of reviewing 10 proposals for new rides at its theme parks in cities scattered throughout the American heartland. The company’s only experienced safety engineer must carefully review plans and monitor the construction of all new rides. However, she is only available to work on new rides for 1,479 hours during the year. The net present values and the amount of safety engineer time required for the proposed rides are listed below:
Proposed Ride | Net Present Value | Safety
Engineer Time Required (hours) |
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Ride 1 | $ | 930,000 | 250 | |
Ride 2 | 1,152,000 | 360 | ||
Ride 3 | 615,000 | 300 | ||
Ride 4 | 593,250 | 175 | ||
Ride 5 | 542,500 | 250 | ||
Ride 6 | 506,250 | 150 | ||
Ride 7 | 448,000 | 112 | ||
Ride 8 | 687,800 | 362 | ||
Ride 9 | 637,000 | 182 | ||
Ride 10 | 418,320 | 252 | ||
Total | $ | 6,530,120 | 2,393 | |
Required:
1. Which of the proposed rides should the company build this year? (Note: The incremental profit of a long-term project such as constructing a new ride is its net present value.) (You may select more than one answer. Single click the box with a check mark for correct answers and double click to empty the box for the wrong answers.)
Ride 1 | |
Ride 6 | |
Ride 3 | |
Ride 9 | |
Ride 5 | |
Ride 4 | |
Ride 7 | |
Ride 10 | |
Ride 2 | |
Ride 8 |
2. What would be the total net present value of the rides built under your plan?
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Answer Q1 | ||||||||
We have limiting factor of total hr of 1,479 during the year. Lets compute NPV/hr for each of the propose ride . | ||||||||
Based on highest NPV/hr we can rank the proposed ride | ||||||||
Proposed Ride | Net Present Value | Safety Engineer Time Required (hours) |
NPV/Hr | |||||
Ride 1 | 930,000 | 250 | 3720 | |||||
Ride 2 | 1,152,000 | 360 | 3200 | |||||
Ride 3 | 615,000 | 300 | 2050 | |||||
Ride 4 | 593,250 | 175 | 3390 | |||||
Ride 5 | 542,500 | 250 | 2170 | |||||
Ride 6 | 506,250 | 150 | 3375 | |||||
Ride 7 | 448,000 | 112 | 4000 | |||||
Ride 8 | 687,800 | 362 | 1900 | |||||
Ride 9 | 637,000 | 182 | 3500 | |||||
Ride 10 | 418,320 | 252 | 1660 | |||||
Total | 6,530,120 | 2,393 | ||||||
Proposed ride based on ranking (Highest to lowest NPV/Hr) | ||||||||
Proposed Ride | Net Present Value | Safety Engineer Time Required (hours) |
NPV/Hr | Commulative hr | ||||
Ride 7 | 448,000 | 112 | 4000 | 112 | ||||
Ride 1 | 930,000 | 250 | 3720 | 362 | ||||
Ride 9 | 637,000 | 182 | 3500 | 544 | ||||
Ride 4 | 593,250 | 175 | 3390 | 719 | ||||
Ride 6 | 506,250 | 150 | 3375 | 869 | ||||
Ride 2 | 1,152,000 | 360 | 3200 | 1229 | ||||
Ride 5 | 542,500 | 250 | 2170 | 1479 | ||||
Ride 3 | 615,000 | 300 | 2050 | |||||
Ride 8 | 687,800 | 362 | 1900 | |||||
Ride 10 | 418,320 | 252 | 1660 | |||||
Total | 6,530,120 | 2,393 | ||||||
As total hr at commulative level reach to 1479 at Ride 5. We should build - below ride | ||||||||
Ride 7 | Ride 1 | Ride 9 | Ride 4 | Ride 6 | Ride 2 | Ride 5 | ||
Answer Q2 | ||||||||
Total NPV | ||||||||
Proposed Ride | Net Present Value | |||||||
Ride 7 | 448,000 | |||||||
Ride 1 | 930,000 | |||||||
Ride 9 | 637,000 | |||||||
Ride 4 | 593,250 | |||||||
Ride 6 | 506,250 | |||||||
Ride 2 | 1,152,000 | |||||||
Ride 5 | 542,500 | |||||||
Total NPV | 4,809,000 |