Question $1$: $25$ Marks

Hlynur is going to hike on Eyjafjallajokull. He has a $20$ liter knapsack he wants to fill with some tins of hakarl and bottles of svarti dauoi. Hakarl comes in $3$ liter tins and svarti dauoi in $0,75$ liter bottles. A tin of h$$karl gives $5$ units of comfort and a bottle of svarti dauoi gives $1$ unit of comfort. Hlynur can only take whole tins and bottles in his knapsack. How should Hlynur pack his knapsack in order to maximize his comfort? Use GNU Octave to determine the maximization value as well as the point at which the maximum occurs.