Generally speaking, how much would it cost at an auto shop?
Modern Auto Brakes have what is call Vac assisted brakes that mean that the braking process is made Easier with enging Vac supplied to a Brake Booster. What you are doing when you depress the pedal with the moter off is Bleeding off all the stored Vac in the Booster The hard pedal after bleeding off is what your brake would feel like without Vac Assist.
Power brakes get their power from engine vacuum. Under the hood behind the master cylinder is the brake booster. When you shut down the engine you loose vacuum and the brakes get stiffer. This is why it is very important that if your car ever stalls and you need to stop, to stop ASAP and do not pump the brakes. You will bleed out the vacuum and your car will be much harder to stop.
Campbell Gramma is correct. Without the car running the Vacuum for the Power Brakes is absent. This why a car will be harder to stop if the engine dies on you.
200.00 to 2,000.00 and I'm serious. you go to the stainless and top end mufflers, custom bends jet hot coated headers