When the two statements are combined, the 2 additional items produced this week result in an earnings increase of $30 (from $480 to $510).

Thus, the amount earned by each of the 2 additional items produced this week = 30/2 = 15.

It is possible that these 2 additional items were paid at the regular rate (x) or at the higher rate (1.5x).

**Case 1: x=15**

Since x=15, every item produced up to the 36th item earns $15.

Since 15*36 = 540, and the total amount earned last week was $480, the total number of items produced last week was LESS than 36.

Thus, every item produced last week was paid at the regular rate:

Total items produced last week = 480/15 = 32.

**Case 2: 1.5x = 15, implying that x=10**

Since x=10, every item produced up to the 36th item earns $10.

Since 1.5x = 15, every item produced beyond the 36th item earns $15.

Since 10*36 = 360, and the total amount earned last week was $480, the total number of items produced last week was GREATER than 36.

Total amount earned by the first 36 items produced last week = 36*10 = 360.

Total amount earned by the additional items produced last week = 480-360 = 120.

Since each of these additional items earns the higher rate ($15), the number of additional items produced last week = 120/15 = 8.

Total items produced last week = 36+8 = 44.

Since the total number of items produced last week could be 32 or 44, the two statements combined are INSUFFICIENT.

The correct answer is E.

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