all questions plz $7.10\mathrm{.}8-5(1$pt$)10\mathrm{.}8-5.$ The Lockhead Aircraft Co$.$ is ready to begin a project to develop a new fighter airplane for the U$.$S$.$ Air Force. The company's contract with the Department of Defense calls for project completion within $92$ weeks, with penalties imposed for late delivery The project involves $10$ activities $($labeled A$,$ B$,....$ J$).$ where their precedence relationships are shown in the project net work below START FINISH Management would like to avoid the hefty penalties for missing the deadline in the current contract. Therefore, the decision has been made to crash the project, using the CPM method of time$-$ cost trade$-$offs to determine how to do this in the most economi$-$ cal way. The data needed to apply this method are given next. Crash Cost Normal Crash Time Normal Cost Activity Time $32$ weeks $28$ weeks $$160$ million $180$ million $28$ weeks $25$ weeks$125$ million$146$ million $36$ weeks $31$ weeks $170$ million $210$ million $16$ weeks $13$ weeks $32$ weeks $27$ weeks $135$ million$160$ million $54$ weeks $47$ weeks$215$ million$257$ million $17$ weeks $15$ weeks $20$ weeks $17$ weeks $120$ million$132$ million $34$ weeks $30$ weeks $190$ million $226$ million $18$ weeks $16$ weeks $60$ million $72$ million $90$ million $96$ million $80$ million $84$ million $($a$)$ Formulate a linear programmin C $($b$)$ Use Excel to solve the problem. c $($c$)$ Use another software option to solve the problem. g model for this problem.