I only need a mathematical model for the question.

In this problem, we are scheduling a set of power plants P over a set of time periods T={1,2,,T} to meet power demand dt in each period. If a power plant pP is turned on, it is able to produce any amount of power in the numerical range given by values [lp,up]pP. The cost (per MWh) of producing energy at plant pP is cp. The plants P are of two types - -nuclear plants N and coal-fired plants C.(P=NC) - The objective is to minimize the total cost of delivering energy over the time horizon. - Power demand must be met in each period. - To meet environmental regulations, if 2 or more Coal generation plants are operating in period t, then at least 3 Nuclear generating plants must also be operating - In order to not cause a meltdown, if a nuclear generator iN is initially turned on (started up) in period tT, then it must also be turned on for the subsequent 3 time periods. Write a mixed integer linear program that will meet demand and minimum cost that achieves the objective and obeys all the problem restrictions. Please use the following code to make your instance. sets T/t1t24/ P/p1p10/ C(P) N(P) ; C(P)= yes (mod( ord (P),2)=0); N(P)= yes $(mod( ord (P),2)=1); alias (S,T); parameters d(T) cost (P) el1(P) u(P) option seed = 666; opt