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A supermarket chain has devised the following formula for maximizing its sales: S = -30x2 + 5a2 - ax + 100x + 1,000, where s = sales, x = square feet of the store in units of 50,000 square feet, and a = annual advertising in units of 100,000. Suppose a = 10. Find the square footage for the store that maximizes sales.

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