Encouraged by consumer demand, the chocolatier decides to introduce a third and even moreexclusive line of chocolates, called Pyramide Luxe. One box of these will bring in a prot of $13.
Let x1; x2; x3 denote the number of boxes of each chocolate produced daily, with x3 referring to
Luxe. The old constraints on x1 and x2 persist, although the labor restriction now extends to
x3 as well: the sum of all three variables can be at most 400. What's more, it turns out that
Nuit and Luxe require the same packaging machinery, except that Luxe uses it three times
as much, which imposes another constraint x2 + 3x3 600. What are the best possible levels
of production?
Here is the updated linear program.