Explanation:

Let’s break it down:

- In that language, ‘BLINK’ is 78 and ‘PURSE’ is 54.

- If you add up the position values of each letter (A=1, B=2, ... Z=26):

- B(2)+L(12)+I(9)+N(14)+K(11) = 48, but 48 isn't 78.

- P(16)+U(21)+R(18)+S(19)+E(5) = 79, still not 54.

- Let’s try multiplying the first and last letter values:

- For ‘BLINK’: B=2, K=11; 2×11=22, not 78.

- What if we multiply the sum by something? Nope, doesn't fit with both codes.

- Check at another angle: Could it be the sum of squares, or reverse order? Neither matches.

- Let’s compare the option values to the name: ‘FIRST’

- F(6)+I(9)+R(18)+S(19)+T(20) = 72. None of the options is 72.

Now focusing on the options:

- Option 1: 63

- Option 2: 71

- Option 3: 64

- Option 4: 76

But here’s the thing: If you pick the highest value of each code (last letter), for BLINK it’s K=11, and 11 × (number of letters, 5) = 55. Still no match.

It looks like you tried to choose Option 1: 63. Take a quick peek—do a similar logic check with PURSE and BLINK—none of basic letter-based calculations turn out as 54 or 78. The code seems arbitrary or based on a more complex cipher, but with the given options and letter-value sums, the closest match for 'FIRST' (summed value: 72) is Option 2: 71.

So, the correct answer is:

Option 2: 71