Assuming you have one client app running on 1000s of clients, making 750 million requests in total of 5 KB each. Let's say so that we have numbers, you have 25,000 client devices making 30,000 requests per week of 5KB each. Change if the numbers are different.
The first cost is the cost for the clients, which is a bit tricky. You transfer 150 MB per client per week, or about 650 MB per client per month. Ask the right department what your clients pay for mobile data bandwidth. However, my ISP had two data offers: One not enough for me, another 2 1/2 times more than I needed. I took the bigger one, so for me 650 MB per client would have zero cost. Being forced to go from the smaller to the larger deal would cost me £3 per month. With 25,000 clients that's between £0 and £75,000 per month.
Then your company pays for about 16 TB of bandwidth per month to the server. Someone at your company pays the bill and knows how much this costs.
And next there is server cost. Ask your IT guys how many servers run the server code for this app. You have about 3,000 requests per second for ten hours a day, so that might be several. Then check who in the company estimates monthly cost of a server, and you get your numbers.
Of course you would divide by 750,000,000 requests per week to get the cost per request which will be very low. I think you asks really wants to know "how much do we safe if we reduce the number of requests by 10%", or "how much does it cost to roll this out to another 25,000 users" which will be much bigger numbers.