Write a non$-$linear program to design a system, at its most cost efficient, while achieving an overall system reliability of $0\mathrm{.}75$ if the system were to expand by $5$ additional components. IMPORTANT: The cost of each $0\mathrm{.}75$ reliability component is $$10.$ The individual component reliability can be improved at a higher cost represented by the function c$+1($this includes the original $10$ components$).(10$pts$)3$