A factory is manufacturing TVs. The amount of TV manufactured each week is normally distributed with mean 200, and standard deviation 20. Each week, the factory receives an order from a private retail partner in Australia. The orders from the private retail partner in Australia can only be 10, 20, 30 or 40, which follows the following empirical distribution: Order Amount 10 20 30 40 Probability 15% 23% 27% 35% The remaining inventory (i.e., the difference between the manufactured amount and the order quantity from the Australian retail partner) can be sold to retailers in Europe. For planning purposes, the operations manager would like to estimate the amount that the factory could sell to European retailers each week. Please create a spreadsheet model to simulate the amount of the TVs that the factory could sell to European retailers for the first 100 weeks and run the simulation 200 times. Please also provide a screenshot of your model or freeze the random numbers. What's the mean and standard deviation of the amount of the TVs that could be sold to European retailers each week?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A factory is manufacturing TVs. The amount of TV manufactured each week is normally
distributed with mean 200, and standard deviation 20. Each week, the factory receives an order
from a private retail partner in Australia. The orders from the private retail partner in Australia
can only be 10, 20, 30 or 40, which follows the following empirical distribution:
Order Amount 10 20 30 40
Probability
15% 23% 27% 35%
The remaining inventory (i.e., the difference between the manufactured amount and the order
quantity from the Australian retail partner) can be sold to retailers in Europe. For planning
purposes, the operations manager would like to estimate the amount that the factory could sell
to European retailers each week.
Please create a spreadsheet model to simulate the amount of the TVs that the factory could sell
to European retailers for the first 100 weeks and run the simulation 200 times. Please also
provide a screenshot of your model or freeze the random numbers. What's the mean and
standard deviation of the amount of the TVs that could be sold to European retailers each
week?
Transcribed Image Text:A factory is manufacturing TVs. The amount of TV manufactured each week is normally distributed with mean 200, and standard deviation 20. Each week, the factory receives an order from a private retail partner in Australia. The orders from the private retail partner in Australia can only be 10, 20, 30 or 40, which follows the following empirical distribution: Order Amount 10 20 30 40 Probability 15% 23% 27% 35% The remaining inventory (i.e., the difference between the manufactured amount and the order quantity from the Australian retail partner) can be sold to retailers in Europe. For planning purposes, the operations manager would like to estimate the amount that the factory could sell to European retailers each week. Please create a spreadsheet model to simulate the amount of the TVs that the factory could sell to European retailers for the first 100 weeks and run the simulation 200 times. Please also provide a screenshot of your model or freeze the random numbers. What's the mean and standard deviation of the amount of the TVs that could be sold to European retailers each week?
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