Suppose we are proving a statement P(n) for all positive integers n by induction. Check all true statements. a) P(n) is the quantity about which we are proving something. b) We always find P(n 1) by adding n 1 to the statement P(n). c) The inductive hypothesis is that we have proved P(1) already. d) The inductive hypothesis is n

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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step-by-step explanation: