Hello! please answer all parts to the question clearly please its sometimes hard to understand the experts please thank you!

provide the answer TO EACH QUESTION CLEARLY please!!!

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Use the following scenario and data for questions 41 to 50 A car dealership decided to add an annex to its sales office as a customer lounge. The project is divided into the activities listed in the following table. The immediate predecessor(s), times and costs, both normal and crashed, are given. To finish the project sooner, the dealership has to make time and cost tradeoffs. If the project needs to be finished in 25 weeks, you are required to formulate a linear programming model to decide about how much to crash for each activity. Activity Immediate Predecessor(s) B OU OwuUI A A B, C D E F G Time (weeks) Normal Crashed 5 3 7 4 6 4 7 5 8 8 5 5 3 6 3 DN 00 00 D E F G H Cost ($) Normal Crashed 1800 2400 2500 4300 3200 4600 2700 3500 3300 3800 2300 2900 4200 4700 2400 3300 To answer the following questions, you may want to use the last column of the following table to compute the cost of crashing an activity by one week. Cost/Week Activity Immediate Predecessor(s) Jun A B D E F G H A A B,C D E F G Time (weeks) Normal Crashed 5 3 7 4 6 4 7 5 8 4 8 5 5 3 6 3 Cost (5) Normal Crashed 1800 2400 2500 4300 3200 4600 2700 3500 3300 3800 2300 2900 4200 4700 2400 3300 1 0 00 00 QUESTION 41 Which of the following are the best definitions of the decision variables? O X; - finish time of activity i, for i = A,B,C,D,E,F,G,H Vi-time to be crashed, i.e., saved, for activity i, for i = A,B,C,D,E,F,G,H O X; - start time of activity i, for i = A,B,C,D,E,F,G,H Vi- time to be crashed, i.e., saved, for activity i for i = A,B,C,D,E,F,G,H O x; -finish time of activity i, for i = A,B,C,D,E,F,G,H Vi - start time of activity i, for i = A,B,C,D,E,F,G,H O X;- start time of activity i, for i = A,B,C,D,E,F,G,H Y;- time to be crashed, i.e., saved, for activity i for i = A,B,C,D,E,F,G,H Ox;- finish time of activity i, for i = A,B,C,D,E,F,G,H Vi - start time of activity i, for i = A,B,C,D,E,F,G,H O X; - start time of activity for i = A,B,C,D,E,F,G,H Vi - time finally used by activity i , for i=A,B,C,D,E,F,G,H O None of the above. QUESTION 42 The cost of crashing activity A by one week is O 1800 O 2400 O 600 O 300 O none of the above QUESTION 43 The cost of crashing activity D by one week is O 400 O 800 O 2700 O 3500 O none of the above QUESTION 44 The appropriate objective function should be o max 300/A + 60078 + 700c +400vp + 125VE + 2007F + 250y +3007 o min 300/A+60078 + 7007c+ 40070 + 125ye+2007F +2507 +300VH o max 300X A +600X8 + 700x 6 7 7 8 8 Xy+y's 2 Tc+Yc -X +xo+yo 2 -xc +x+y 2 |-xc +xgtys 2 -ID +xy 2 - +xol+ Yo - xxyx -* + xty 2 s 3 8 2 6 6 6 NE 2 ya s Yc 3 2 yo yx M 4 y 3 2 yo 2 3 x, 20. y, 20 for all : = 4.B.C.D.E.F.G min 300 yA + 600ys + 700yc +400yp +125yx+200y+250 Yo +300 yx st 2 $ -X -A 6 - 7 7 |-xc 2 *c+Yc 2 + x + y 2 -xc +x0+vo 2 + xy + yx 2 -SD + xy + y; 2 -X txo + Yo 2 -X + xy + y 2 +*+ y 2 s 8 . - 6 -XG 6 y 2 ya S 3 Yc . s s 2 s YA 5 4 Yx s Yo s 2 2 s s s 3 s 25 x, 20. y, 20 for all 1 = 4.B.C.D.E.F.G none of the above