Vlookup two tables to choose from 3rd table

I have a spreadsheet where I have two tables A5:C15 and A16 to C26. These tables calculate all the possible options for an item across a sheet and all the possible options down the sheet. I some how need to automatically calculate the "best" option to fit on a few different sheet sizes E5:F13. So in the attached the best option is 5 down and 3 across and that size would be 27.5625 x 31.5. These numbers will change based on sizes that are input on another screen but for example I am posting one example/ For this example in real life and manually I would want it to be associated with the 28 x 35 in E5:F13. Is there a formula to automatically select the max sizes from C6:C15 (in this case 27.5625) and max size from C17:C26 (in this case 31.5) and have it select the best option from E5:F13. The table from E5:F13 the width and length dimensions are tied together so the options are 18 x 22, 20 x 26, 27 x 32, 28 x 35 and 28 x 40. So it cant look at the table and then select 28 from the width and then 32 from the length. Hopefully this makes sense and can be done. Im sure it can but I have been working in the spreadsheet for a couple hours and my mind is drawing a blank.

I apologize if the title is correctly worded too