Simple resource scheduling exercise

In this exercise you are planning the production at a glass manufacturer. This manufacturer only produces wine and beer glasses:

there is a maximum production capacity of $60$ hours

each batch of wine and beer glasses takes $6$ and $5$ hours respectively

the warehouse has a maximum capacity of $150$ rack spaces

each batch of the wine and beer glasses takes $10$ and $20$ spaces respectively

the production equipment can only make full batches, no partial batches

Also, we only have orders for $6$ batches of wine glasses. Therefore, we do not want to produce more than this. Each batch of the wine glasses earns a profit of $$5$ and the beer $$4\mathrm{.}5.$

The objective is to maximize the profit for the manufacturer.

puLP has already been imported for you.