exam Maths Puzzle Numerical Ability

log y=log(a*e^x)

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SOLVE THE FORMULA FOR A FOR THE INDICATED VARIABLE H=7S
+1 FOR A
Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be sold to maximize the profit?