PROBLEM 2. 25% PARTIAL DIFFERENTIAL LAGRANGE OPTIMIZATION

In the era of the Covid 19 pandemic, we are required to consume lots of fresh fruits. The satisfaction of a consumer in consuming two kinds of fruit, namely Apples (X) and Oranges (Y) is: U = X3 Y2

income or budget to buy the two fruits is Rp. 250,000, the price of apples

IDR 75,000/fruit and the price of oranges is IDR 25,000/fruit.

a. How many apples and oranges must be obtained in order to achieve optimum satisfaction b. Calculate the optimum satisfaction value that can be achieved