Customers Arrive at Drive-Thru Window at the Local Fast Food

question 68

Essay

Customers arrive at drive-thru window at the local fast food place at an average rate of 12 per hour, following a Poisson distribution. The server at the window can service an average of 3 cars every 12 minutes with service times described by an exponential distribution. If a second lane is added where the server can process 4 cars every 15 minutes, calculate the following:
A) average utilization for one server and two servers
B) average time a customer spends in line waiting to enter the drive-thru bay for one server and two servers
C) average number of customers waiting in line for one server and two servers
D) Which system is better?

• A) average utilization for one server and two servers
• B) average time a customer spends in line waiting to enter the drive-thru bay for one server and two servers
• C) average number of customers waiting in line for one server and two servers
• D) Which system is better?

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Definitions:

Investment Allowance

A tax incentive that allows businesses to deduct a certain percentage of their investment in qualifying assets from their taxable income.

Net Cash Flow Impact

The effect on the total cash inflows and outflows for a business, considering all sources of revenue and expenses over a specific period.

Additional Working Capital

Extra funds a company needs to support its normal business operations and accommodate growth.

Full Recovery

The process of recouping all costs incurred during production, often through sales revenue.