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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