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Formula challenge - 2D lookup and sum

The problem

The data below shows cups of coffee sold at a small kiosk for a week at different hours of the day. The times in column B are valid Excel times. 

Lookup and sum cups after 12 PM on Tue and Thu

The challenge

What formula in cell I5 will correctly sum the total cups sold after 12:00 PM on Tuesday and Thursday? Relevant cells are shaded in green.

For your convenience, the following named ranges are available:

data = C5:G14
times = B5:B14
days = C4:G4

Download the Excel workbook, and leave your answer as a comment below.

Constraints

  1. Your formula should dynamically locate the cells to sum, without hardcoded references. In other words, =SUM(D10:D14,F10:F14) is not valid.
  2. Use named ranges when possible to make your formula easy to read.