Expression (combine repeated letters):

All letters are different nonzero digits (1–9). To minimize \(V \cdot S\) with \(S = 2 I + O + L + Y + M + P + C\):

• Make \(V\) as small as possible: choose \(V = 1\).
• Then remaining digits available are \(2 , 3 , 4 , 5 , 6 , 7 , 8 , 9\). To minimize \(S\) put the smallest available digit at \(I\) because it is multiplied by 2: choose \(I = 2\).
• Assign the next six smallest digits to the other letters: \(3 , 4 , 5 , 6 , 7 , 8\).

Compute step by step:

• \(2 I = 2 \times 2 = 4\).
• Sum of the six smallest remaining: \(3 + 4 + 5 + 6 + 7 + 8\).
• • \(3 + 8 = 11\), \(4 + 7 = 11\), \(5 + 6 = 11\) → total \(11 + 11 + 11 = 33\).
• So \(S = 4 + 33 = 37\).
• Value = \(V \times S = 1 \times 37 = \boxed{37}\).

Minimum possible value is 37.