What is the total cost for the carpet installation, including the cost of carpet, cost of labor, and additional fee? Express your answer as a decimal number and do not round.

She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.

The labor costs are $23 per hour, per person.

A two-person carpet crew can lay 50 square feet of carpet each hour.

The crew that will complete the job at Charlotte's house will be a four-person crew.

There is an additional $75 fee to cover the cost of equipment, materials, and supplies.