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=e−1e, 𝑥 ≥ 0, 𝑦 ≥ 0.
Then x∗y∗ is equal to ________ (round off to 2 decimal places).
Answer
The correct answer is: 2.70 or 2.75 (approx.)