# Dude Math Major's Thursday Problem
# From Lecture 1 (01/10/2023)

var x {1..2} >= 0;

maximize TotalUtility: 2*x[1] + 3*x[2];

subject to MaxTime: sum {j in 1..2} x[j] <= 5;
subject to MaxCost: 8*x[1] + 16*x[2] <= 48;