The tzbulation and network diagram below represent a retooling project for a marufacturing company. The retooling is necessary to qualify for fimding from $2$ multinational agency for expansion of the plant. The retooling project was origivally scheduled for a later date but must be brought forvard and crashed to meet the finding application deadline. $[30]$

a$.$ Find the cost slope, maximum recuced tine, and the cost for the project for normal time.

$[5]$

b$.$ Hence, crash the project to meet a deadline of $18$ days and detennine the associzted. cost. $[20]$

$\backslash$table$[[\backslash$table$[[$Activity$],[$ID$.]],\backslash$table$[[$Cost$],[$Slope$]],\backslash$table$[[$Maximum$],[$Rechoced$],[$Time $($d$)]],$Direct Cost$],[\backslash$table$[[$Nonmal$]],$Crosh$],[$Time $($d$),$Cost,,Cost$],[$A$,,,6,$$$500,4,$$$800$