Using an inflatable device on Shabbat

A question about using an inflatable spring mattress on Shabbat, which is inflated with an electric pump:

1. Is it permitted to activate the pump via a Shabbat timer so that the mattress will inflate on Shabbat, and also to cause it to fold/deflate on Shabbat?
2. If the mattress is connected to electricity from before Shabbat, and it is already inflated before Shabbat begins and the electricity continues to run all Shabbat in order to keep it inflated – is it permitted to jump on it on Shabbat?

Shalom u’vracha.

Activating an electrical appliance from before Shabbat via a Shabbat timer is permitted on condition that: 

A. It does not make noise, for that would be a degradation of the honor of Shabbat, since it is heard outside and people think it was turned on during Shabbat. [This excludes appliances such as an air conditioner and the like, which it is customary to run in advance for a long period; these are permitted even though they make noise.]

B. The use does not increase the appliance’s electricity consumption. 

Therefore, the use of this mattress should be prohibited. The motor of an inflatable mattress is indeed noisy and can be clearly heard at a distance. In addition, jumping on it greatly affects the airflow in the pump, so it is very likely that the power consumption changes because of this. 

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