Blossom Limited purchased four articulated robots on account on May $1,2024,$ at an invoice price of $$546,000.$ On May $2,$ it paid $$4,09,0$ for delivery of the robots. A one$-$year, $$5,500$ insurance policy on the robots was purchased on May $3.$ On May $30,$ Blossom paid $$10,000$ for assembly, installation and testing of each robot on a production line. The robots started operating or were ready for use on July $1.$

Blossom estimates the useful life of the robots will be four years or $10,000$ units with a residual value of $$100,000.$ Assume the robots collectively produce the following numbers of units each year: $1,500$ units in $2024$; $2,700$ units in $2025$; $2,600$ units in $2026$; $2,200$ units in $2027$; and $1,000$ units in $2028.$ Blossom has a December $31$ year end.

$($a$)$

Determine the total cost of the robots.

Cost of the robots $