Gemstone quarry is trying to decide whether to invest in a new material$-$handling system. The current system $($which is old and completely paid for$)$ has and annual maintenance cost of $$10,000$ and cost approximately $$25$ to transport each load of material. The two new system that are being considered vary both in sophistication and cost.

System $1$ has a fixed cost of $$40,000$ and cost per$-$load estimated at $$10.$ System $2$ has a fixed cost of $$100,000$ but a per$-$load cost of $$5.$