# Toy Factory Problem

Algebra Level 5

A toy factory manufactures three kinds of toys: cars, motorcycles, and boats. One toy car makes $20 profit, one toy motorcycle makes$15 profit, and one toy boat makes \$25 profit. There are three departments of labour: casting, which has 8 workers; assembly, which has 12 workers; quality control, which has 10 workers.

Every day, the labour is allocated as follows: a toy car requires 2 casting, 2 assembly, 2 quality control; a toy motorcycles requires 1 casting, 2 assembly, 1 quality control; a toy boat requires 2 casting, 3 assembly, 3 quality control.

What is the number of toy motorcycles produced to maximize the profit?

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