Piñatas are made to sell at a craft fair. It takes 2 hours to make a mini piñata and 3 hours to make a regular sized piñata. The owner of the craft booth will make a profit of $8 for each mini piñata sold and $15 for each regular sized piñata sold. If the craft booth owner has no more than 36 hours available to make Piñatas and wants to have at least 12 Piñatas to sell, how many of each sized piñata should be made to maximize profit?
1. Write the objective function that will maximize the profit.
2. Write the constraints as a system of inequalities.
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