i really don't understand. i tried figure out. i started with the first charges: sqrt[2(20)(100))/0.05}

Suppose you have a choice of three suppliers for footballs. the first charges $100 per delivery but won't deliver more than 200 at a time; the second charges $100 also but won't deliver less than 300; the third will deliver any quantity but charges $200. Which supplier should you use? In all cases r = 20 and s=$0.05

To determine which supplier you should use, you need to calculate the total cost for each supplier based on the given conditions.

Let's start with the first supplier:

The first supplier charges $100 per delivery and won't deliver more than 200 at a time. We need to calculate the total cost considering the given conditions.

The total cost for the first supplier can be calculated using the formula: Total Cost = Delivery Cost + Cost per Football.

Given that r = 20 (representing the number of footballs) and s = $0.05 (representing the cost per football), we can use the formula:

Total Cost = Delivery Cost + (r * s)

Plug in the values:
Total Cost = $100 + (20 * $0.05)

Calculate the total cost for the first supplier:
Total Cost = $100 + ($1)

The total cost for the first supplier is $101.

Now let's move on to the second supplier:

The second supplier charges $100 but won't deliver less than 300 footballs. Similar to the first supplier, let's use the formula to calculate the total cost:

Total Cost = Delivery Cost + (r * s)

Given r = 20 and s = $0.05, we can plug in the values:

Total Cost = $100 + (20 * $0.05)

Calculate the total cost for the second supplier:
Total Cost = $100 + ($1)

The total cost for the second supplier is $101, which is the same as the first supplier.

Lastly, let's consider the third supplier:

The third supplier will deliver any quantity but charges $200. To calculate the total cost for the third supplier, we use the same formula:

Total Cost = Delivery Cost + (r * s)

Given r = 20 and s = $0.05, we can plug in the values:

Total Cost = $200 + (20 * $0.05)

Calculate the total cost for the third supplier:
Total Cost = $200 + ($1)

The total cost for the third supplier is $201.

Comparing the total costs, we observe that the first and second suppliers have the same cost of $101, while the third supplier has a higher cost of $201.

Therefore, based on the given conditions, you should choose either the first or second supplier since they have the lowest cost of $101.