Person help: calc genius needed :)….. - Help.com

calc genius needed :)…

.. I need help on how to solve this problem if anyone knows youll be my favorite person ever..
The heating and cooling costs for a certain house without adding insulation are \$500/year, but if x≤10 inches of insulation are added, the costs are h(x)=1000/(2+x) \$ per year. Adding insulation has a one-time cost of \$150 for each inch of insulation thickness added.

(a) How many inches of insulation should be installed (if any) to minimize the total costs C(x) (installation plus yearly costs) over a 10-year period of time?

(b) What will be the annual savings resulting from this optimal insulation thickness?

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