Problem definition

Din Djarin is a retired bounty hunter that now runs a small factory specialised in making classic weapons in a colony recently restablished in Mandalore. The factory manufactures two different types of weapons, swords and spears. Din uses special alloys, mixtures of metals and rare materials, which have made a name for the endurance of his weapons across the colony. The table below shows the weight in pounds of each material needed to make each type of weapon:

Metal

spear

sword

Beskar

1

0.5

Tungsten

1

1

Titanium

3

1

And the table below shows the total amount of each metal available, also in pounds:

Metal

Amount

Beskar

125

Tungsten

225

Titanium

300

The price of a spear is 40 credits and the price of a sword is 5 credits. Din has already sold 100 swords, so he needs to manufacture at least that many.

Write a CLP problem to find the optimal number of spades and swords that maximise revenues