Suppose the modified quota is 5.87. Whate is the lower quota? what is the upper quota? Find the arithmetic mean of lower and upper quotas. Find the geometric mean of upper and lower quotas.Round the given modified quota by comparing it with arithmetic mean to 2 decimal places. Round the given modified quota by comparing it with geometric mean to two places. Does anyone understand this. Please show me

To find the lower and upper quotas, as well as their arithmetic and geometric means, we will follow these steps:

Step 1: Find the lower quota:
The lower quota is calculated by rounding down the modified quota to the nearest whole number. In this case, since the modified quota is 5.87, the lower quota will be 5.

Step 2: Find the upper quota:
The upper quota is calculated by rounding up the modified quota to the nearest whole number. In this case, since the modified quota is 5.87, the upper quota will be 6.

Step 3: Find the arithmetic mean of the lower and upper quotas:
The arithmetic mean is calculated by adding the lower and upper quotas together and then dividing by 2. In this case, (5 + 6) / 2 = 5.5.

Step 4: Find the geometric mean of the lower and upper quotas:
The geometric mean is calculated by taking the square root of the product of the lower and upper quotas. In this case, the square root of (5 * 6) = 5.4772.

Step 5: Round the modified quota using the arithmetic mean:
To round the modified quota to 2 decimal places using the arithmetic mean, we compare the decimal part of the modified quota (0.87) with 0.5 (half of the decimal part of the arithmetic mean). Since 0.87 is greater than 0.5, we round up to the next whole number. Therefore, the rounded modified quota using the arithmetic mean will be 6.00.

Step 6: Round the modified quota using the geometric mean:
To round the modified quota to 2 decimal places using the geometric mean, we compare the decimal part of the modified quota (0.87) with 0.4772 (half of the decimal part of the geometric mean). Since 0.87 is greater than 0.4772, we round up to the next whole number. Therefore, the rounded modified quota using the geometric mean will be 6.00 as well.

So, in summary:
- Lower quota = 5
- Upper quota = 6
- Arithmetic mean = 5.5
- Geometric mean = 5.4772
- Rounded modified quota using the arithmetic mean = 6.00
- Rounded modified quota using the geometric mean = 6.00

I hope this explanation helps! Let me know if you have any further questions.