"You are the manager of Acme Fireworks, a fireworks retailer who sells fireworks, puts on ground display fireworks, and large aerial display fireworks. The company started in the owner's garage two years ago and now has 15 employees that you manage. The company started as a sole proprietorship, and the owner has never changed the entity. The owner has informed you that the company has received inquiries from several large businesses wondering if the company could create several fireworks displays on a regular basis. The owner told the inquirers that the company could fill such display orders, and a price per display was agreed upon. It was discussed that most of the cost for a fireworks display is for skilled labor, insurance, and the actual service of setting off the fireworks. No other details were discussed. The owner is anticipating that new employees will need to be hired, but he is worried that if the large orders for fireworks displays do not continue, the company will not have the funds to pay the new employees. The owner is now considering changing the business entity, but he does not know what entity to form or how to form it."

What are the different employment types and relationships relevant to agency law, and analyze the advantages and disadvantages of each type specific to Acme Fireworks.