An unknown estimator is given an estimation problem to find the minimizer and maximizer of the objective function G(w) ∈ (0, 3]: (wa, wb) = (arg min w G(w), arg max w G(w)).
The solution to Eq. 1 by the estimator is (wa, wb) = (15, 25). Given this information, please obtain the value of w ∗ such that:
w ∗ = arg min w [10 − 3 × ln(G(w))].

answer is c

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.