Kennedy needs purchase at least 42 sets of spoons.
The minimum set of spoons needed in the restaurant = 512 spoons.
Available spoons = 264.
Each set on the sale has 6 spoons.
Let the minimum number of spoon set required be 'x'.
Then,
6x + 264 ≥ 512
Solving the in equality.
6x ≥ 512 - 264
6x ≥ 248
x ≥ 248/6
x ≥ 41.33
Thus, Kennedy needs purchase at least 42 sets of spoons.
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