Help with X-Ray Machine Cost Calculation

[nikosnikos]

I have to solve this exercise and i stuck any help?
we have 20 scietists arrive per hour and the x-ray station can process 45 employees per hour. the company spends a total of $65 per hour per employee. X-ray machines cost $50.000 and the wages and fringe benefits of operators amount to $30.000 per year. how many machines will we buy? my question is not how to solve the problem (i have a programm to do that) , but i have a hard time to understand which is the waiting cost and which tha service cost and we also have a fixd cost to... help please!

 

[SW VandeCarr]

I have to solve this exercise and i stuck any help?
we have 20 scietists arrive per hour and the x-ray station can process 45 employees per hour. the company spends a total of $65 per hour per employee. X-ray machines cost $50.000 and the wages and fringe benefits of operators amount to $30.000 per year. how many machines will we buy? my question is not how to solve the problem (i have a programm to do that) , but i have a hard time to understand which is the waiting cost and which tha service cost and we also have a fixd cost to... help please!

Your rate constant is 20 is events per hour for scientists, so your mean waiting time between arrivals is 0.05 hour (it's always better to keep everything in terms of the same time unit). Can you take it from there?

 

[nikosnikos]

I'm looking for the waiting cost and the service cost.. It's already given in the topic the numbers but I'm not sure which is which because there is also a fixed cost included .. I'm looking for the data of the problem not the solution.. i hope i was clear!

 

[SW VandeCarr]

I'm looking for the waiting cost and the service cost.. It's already given in the topic the numbers but I'm not sure which is which because there is also a fixed cost included .. I'm looking for the data of the problem not the solution.. i hope i was clear!

We generally don't answer these types of questions. This is a math/science forum, not an accounting/business forum. Since you already claim to know the math, you can see you have excess capacity which is costing money. Perhaps someone else will help calculate the costs for you. And please, no more of the "!"

 

[blue_raver22]

I am happy to assist you with your X-ray machine cost calculation. It seems like you have a good understanding of the problem and have a program to solve it, but are struggling with identifying the different costs involved. Let me break it down for you.

Firstly, the waiting cost in this scenario would be the cost of employees waiting to be processed by the X-ray station. This would include the wages and fringe benefits of the employees during the time they are waiting, as well as any potential loss in productivity due to the wait.

The service cost, on the other hand, would be the cost of actually using the X-ray station to process the employees. This would include the $65 per hour per employee that the company spends, as well as the cost of operating the X-ray machine itself.

Lastly, the fixed cost would be the cost of purchasing the X-ray machine and the wages and fringe benefits of the operators. In this case, the cost of purchasing the machine is $50,000 and the annual cost for the operators is $30,000.

To determine how many machines to buy, you will need to consider the total number of employees per hour (20), the processing capacity of the X-ray station (45 employees per hour), and the cost of operating the machine and paying the operators ($65 per hour per employee and $30,000 per year respectively). From there, you can calculate the optimal number of machines to purchase based on the cost and capacity.

I hope this helps clarify the different costs involved in your problem and how to approach solving it. If you have any further questions, please let me know. Good luck with your calculation!