This is how I would do it for my business.
Machine cost to rent per day.+50% markup.
Labor rate for me plus 1 laborer.
My cost per pallet laid$175+50%=$262.50/425 square feet installed to the customer.
I will then go back over the lawn and overseed it at a 6lbs/1K' rate to get a denser stand at a rate of $25/1K'
My guarantee is that it is healthy green grass when we left and will stay that way as long as you water, fertilize and keep the weeds out.
Knowledge is knowing a tomato is a fruit, wisdom is not using it in a fruit salad.