EX$5-4($Algo$)$ Mrs$.$ Publinsky and her husband, Xander, are...

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 $2,800$ square feet. The average price for a lot and house similar to this one has been $$131$ 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.

$23\%$ Excavation and framing complete

$8\%$ Roof and fireplace complete

$2\%$ Wiring roughed in

$4\%$ Plumbing roughed in

$8\%$ Siding on

$22\%$ Windows, insulation, walks, plaster, and garage complete

$9\%$ Furnace installed

$5\%$ Plumbing fixtures installed

$8\%$ Exterior paint, light fixtures installed, finish hardware installed

$6\%$ Carpet and trim installed

$3\%$ Interior decorating

$2\%$ Floors laid and finished

Calculate the estimated cost for the Publinsky$$s house if they use contractors to complete all of the house. $($Round the final answer to the nearest dollar.$)$

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.$)$