$($Bonus$)$ Mehmet wants to buy a workstation computer to use in his research. The necessaryparts of this computer consist of CPU, mainboard, RAM, video card, sound card, keyboard,mouse. Mehmet wants to buy the mouse and keyboard from the same brand. He wants to buysound and video card from different brands. If the CPU is i$5,$ it should receive $32$ GB ram,otherwise it will not be able to provide the necessary performance. In the table below, thebrand and price of each part is given. Mehmet plans to buy a minimum cost workstationcomputer using this data.Formulate an integer programming model which will represent this system. Define the decisionvariables, state the objective function, and specify all the constraints.Option A Option B Option C Option DCPUIntel Core i$78\mathrm{.}591$ TLIntel Core i$55\mathrm{.}942$ TLAMD Core i$710\mathrm{.}345$ TLAMD Core i$57\mathrm{.}456$ TLMainboardGIGABYTE$1\mathrm{.}818$ TLASUS$2\mathrm{.}758$ TLMSI$2\mathrm{.}648$ TLNZXT$1\mathrm{.}245$ TLRAMGSKILL $32$GB$9\mathrm{.}843$ TLGSKILL $16$ GB$4\mathrm{.}443$ TLCORSAIR$32$GB$8\mathrm{.}925$ TLCORSAIR$16$GB$2\mathrm{.}340$ TLVideo CardHyperX$1\mathrm{.}236$ TLASUS$1\mathrm{.}491$ TLS$-$LINK$1\mathrm{.}012$ TLSamsung$2\mathrm{.}818$ TLSound CardHyperX$349$ TLASUS$437$ TLS$-$LINK$245$ TLSamsung$555$ TLKeyboardLogitech$345$ TLMICROSOFT$453$ TLASUS$256$ TLFRISBY$125$ TLMouseLogitech$245$ TLMICROSOFT$333$ TLASUS$274$ TLFRISBY$123$ TL