Let v be c 2 , with the standard inner product. let t be the linear operator on v which is represented in the standard ordered basis by the matrix 1 i i 1 . show that t is normal, and find an orthonormal basis for v , consisting of eigenvectors for t. g

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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