In each of (a)–(f), answer the following questions: Is A ⊆ B? Is B ⊆ A? Is either A or B a proper subset of the
other?
a. A = {2,{2}, (√2)2}, B = {2, {2}, {{2}}}
b. A = {3,
√52 − 42, 24 mod 7}, B = {8 mod 5}
c. A = {{1, 2}, {2, 3}}, B = {1, 2, 3}
d. A = {a, b, c}, B = {{a}, {b}, {c}}
e. A = {√16, {4}}, B = {4}
f. A = {x ∈ R | cos x ∈ Z}, B = {x ∈ R | sin x ∈ Z}

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

ion

step-by-step explanation:

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