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disa [49]
3 years ago
14

The manager of a regional warehouse must decide on the number of loading docks to request for a new facility in order to minimiz

e the sum of dock costs and driver-truck costs. the manager has learned that each driver-truck combination represents a cost of $300 per day and that each dock plus loading crew represents a cost of $100 per day. how many docks should be requested if trucks arrive at the rate of three per day on average and each dock can handle five trucks per day on average. arrival of trucks follows a poisson distribution and loading time follows exponential distribution. (hint: in this problem, the average service rate, μ, is directly given to you)
Business
1 answer:
Elden [556K]3 years ago
6 0

Answer:

Only 1 dock is required since its overall cost is lower than having two docks

Explanation:

Solution

Given that:

let us consider the data given for the warehouse:

the cost per day/driver truck = $300

Cost per day/Dock plus loading crew = $100

Arrival rate λ = 3 per day

Service rate μ = 5 per day

Now,

we compute the utilization of the ware house

Utilization =λ/μ

= 3/5

ρ = 0.6

Only 1 dock is required since its overall cost is lower than having two docks

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Answer:

$3,520.65

Explanation:

The calculation  of the future value is given below:

As we know that

Future value = Present value × (1 + interest rate)^number of years

= $250 × (1 + 0.0275)^5 + $450 × (1 + 0.0275)^4 + $650 × (1 + 0.0275)^3 + $850 × (1 + 0.0275)^2 + $1,100 × (1 + 0.0275)^1

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We simply applied the above formula to find out the future value

3 0
3 years ago
Which statement is false?
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Option B, The predetermined overhead allocation rate is based on actual costs.

Explanation:

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This rate is often used to make book closure quicker as it eliminates estimation of real overhead costs as part of the closing process at the end of the period. Nevertheless, at least at the end of every fiscal year, the disparity between the real and expected overhead sums must be reconciled.

The predetermined rate is derived by calculation as follows:

Estimated amount of manufacturing overhead to be incurred in the period ÷ Estimated allocation base for the period

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2 years ago
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