Find beta in the given equation

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Reference no: EM13909539

The main problem is to find β in this equation:

F(u) = ωu(u-β)(1-u)

If is it β ≤ -1 ????

-1 ≤ β ≤ 0

β > 0 ???

The solution step:

1. F(u) = ωu(u- β) (1-u)

2. F'(u) = ω(u-β)(1-u) + ωu(1-u) - ωu (u-β)

= ωu - ωu² - ωβ + ωβu + ωu(1-u) - ωu(u-β)

= -3ωu² + 2ωu + 2ωβu - ωβ.

3. Now we have find u_max (Hint- u_max: F'(u)= 0.)

4. we have to find max F = F(u_max) from this we can found β = ???

Reference no: EM13909539

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