Calculate the estimated cost for the Publinsky$$s house if they use their talents to do some of the work themselves $($all plumbing and interior decoration$).($Round the final answer to the nearest dollar.$)$Mrs$.$ Publinsky and her husband, Xander, are planning their dream house. The lot for the house sits high on a hill with a beautiful view

of the White Mountains. The plans show the size of the house to be $1,600$ square feet. The average price for a lot and house similar

to this one has been $$114$ per square foot. Fortunately, Xander is a retired plumber and feels he can save money by installing the

plumbing himself. Mrs$.$ Publinsky feels she can take care of the interior decorating.

The following average cost information is available from a local bank that makes loans to local contractors and dispenses progress

payments to contractors when specific tasks are verified as complete.

Excavation and framing complete

Roof and fireplace complete

Wiring roughed in

Plumbing roughed in

Siding on

Windows, insulation, walks, plaster, and garage complete

Furnace installed

Plumbing fixtures installed

Exterior paint, light fixtures installed, finish hardware installed

Carpet and trim installed

Interior decorating

Floors laid and finished