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Question

Mathematics for Economy Question on Optimization

If (𝑥∗ , 𝑦∗) is the optimal solution of the problem
maximize 𝑓(𝑥, 𝑦) = 100−𝑒−𝑥−𝑒 −𝑦
subject to 𝑒𝑥+𝑦=𝑒𝑒1,\frac{𝑒}{𝑒−1}, 𝑥 ≥ 0, 𝑦 ≥ 0.
Then yx\sqrt{\frac{y^*}{x^*}} is equal to ________ (round off to 2 decimal places).

Answer

The correct answer is: 2.70 or 2.75 (approx.)