C. Constrained Multivariate Optimization 1 A consumer derives utility from consuming apples x1 and oranges x2 denoted by: 2 1 U(x1, x2): (x15 + x25)2, wherein x1 and x2 are in kilograms (kg). Apples are PhPlOD/kg, while oranges are PhP75/kg. 1. Using the Lagrangean method, solve for the quantity of apples and oranges that the consumer should consume to maximize his/her utility assuming his/her income is PhP1,000? 2. What would be his/her maximum utility