How to provide power to a device that needs 3 different input voltages?
If I add up units cost for the following four power supplies, it just meets your budget (Digikey prices for quality units). This approach is to convert mains into an intermediate voltage with an AC-DC converter and then convert up or down to the required voltages with DC-DC converters. 


mains to 24V 25W        $19
24 to 1.8~3.6V at 8A    $54  (isolated) 
24 to 5V @ 2A           $14
24 to +/-15V (30V)      $13  (isolated) 


Try doing a parametric search and see what you can find. I notice the maximum draws for your unit are specified as 3A at 2V and 1A at 5V and only 40mA from the 30V. 

Note that cheaper DC-DC converters may go out of regulation unless you give them a minimum load, and some DC-DC converters are not regulated at all.