A cement delivery company has a fleet of trucks that weigh is 6,700 kg unloaded. The trucks are loaded with 800 bags of cement, each of which has a mean weight of 44 kg and a standard deviation of 5 kg. Assume that the bag weights are independent and identically distributed. Truck weights are limited to 42,000 kg to avoid damaging the road, and overweight fines are as follows. i. Excess weight less than 125 kg: Fine of $2000 ii. Excess weight between 125 kg and 200 kg: Fine of $4000 iii. Excess weight over 200 kg: Fine of $6000 What is the maximum number of bags that can be loaded if the expected fine per truck should not exceed $200? (This problem needs to be solved by trial and error. What is the matlab code?

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A cement delivery company has a fleet of trucks that weigh is 6,700 kg unloaded. The trucks are loaded with 800 bags of cement, each of which has a mean weight of 44 kg and a standard deviation of 5 kg. Assume that the bag weights are independent and identically distributed. Truck weights are limited to 42,000 kg to avoid damaging the road, and overweight fines are as follows.
i. Excess weight less than 125 kg: Fine of $2000
ii. Excess weight between 125 kg and 200 kg: Fine of $4000
iii. Excess weight over 200 kg: Fine of $6000
What is the maximum number of bags that can be loaded if the expected fine per truck
should not exceed $200?

(This problem needs to be solved by trial and error. What is the matlab code?

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