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AnnyKZ [126]
4 years ago
14

On April 1st, Bob the Builder entered into a contract of one-month duration to build a barn for Nolan. Bob is guaranteed to rece

ive a base fee of $5,800 for his services in addition to a bonus depending on when the project is completed. Nolan created incentives for Bob to finish the barn as soon as he can without jeopardizing the structural integrity of the barn. Nolan offered to pay an additional 25% of the base fee if the project finished 2 weeks early and 15% if the project finished a week early. The probability of finishing 2 weeks early is 25% and the probability of finishing a week early is 60%. a) What is the expected transaction price with variable consideration estimated as the expected value?
b) What is the expected transaction price with variable consideration as the most likely amount?
Business
1 answer:
hichkok12 [17]4 years ago
3 0

Answer:

a) What is the expected transaction price with variable consideration estimated as the expected value?

  • original cost $5,800 if job is finished in one month (15% probability)
  • bonus price for finishing 2 weeks earlier $5,800 x 1.25 = $7,250 (25% probability)
  • bonus price for finishing 1 week earlier $5,800 x 1.15 = $6,670 (60% probability)

expected transaction price = ($5,800 x 15%) + ($7,250 x 25%) + ($6,670 x 60%) = $6,684.50

b) What is the expected transaction price with variable consideration as the most likely amount?

$6,670, since it has a 60% probability

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Transworld Deliveries is expanding its contract home delivery service into the Northeastern United States. The company anticipat
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Question Completion:

Demand Requirements (in vehicles)

Requirements          20     35     50    80

Probability              0.35   0.15    0.1   0.4

Answer:

Transworld Deliveries

1. Transworld Deliveries should purchase additional vehicles and hire additional drivers.

2. I recommend 14 new vehicles with drivers to bring the number from 35 vehicles to 49 vehicles.

Explanation:

a) Data and Calculations:

Vehicles requirements (Range) 35 and 80

Own Vehicles being moved = 35

Cost of own fleet = $730 per vehicle

Cost of leasing = $1,300 per vehicle

Decision: Purchase additional vehicles or

               Lease additional vehicles

Expected Vehicles Required:

Requirements          20     35     50    80

Probability              0.35   0.15    0.1   0.4

Expected value        7        5       5     32

Total expected number of vehicles required = 49

Additional vehicles required = 49 - 35 = 14

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g Credit card applicants have an average credit rating score of 667. Assume the distribution of credit scores is Normal with a s
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Answer:

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And we can find this probability using the complement rule and excel or a calculator and we got:

P(z>0.508)=1-P(z

Explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the rating score of a population, and for this case we know the distribution for X is given by:

X \sim N(667,65)  

Where \mu=667 and \sigma=65

We are interested on this probability

P(X>700)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>700)=P(\frac{X-\mu}{\sigma}>\frac{700-\mu}{\sigma})=P(Z>\frac{700-667}{65})=P(z>0.508)

And we can find this probability using the complement rule and excel or a calculator and we got:

P(z>0.508)=1-P(z

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