I need to create a 3000 Watts 0-10 controlled PWM dimmer

Job ID: 32090266

Budget: $250 – $750 USD

I need to control the heating resistors inside domestic water tanks. It is generally a resistive load that, when switched on, consumes something like 2000 Watts. If I have a restriction on my power source and I can only consume 1000 Watts, I won't be able to switch them on. Therefore, I need a solution to control how much power is drawn by those resistors based an external controller. The controller then can either send in a 0-10V signal (0V = switch off and 10V = max power) or through an ethernet connection, write a value to control that power.
I am thinking of MOSFETS switching on/off at a given frequency and having their duty cycles controlled by either the 0-10V input or by the register value.
Note that the output waveform of the voltage or current does not have to be perfect since it will only control a simple resistive load.