Okay, how would I input the below information into QM for Windows or Let X1 be t
ID: 2986341 • Letter: O
Question
Okay, how would I input the below information into QM for Windows or
Let X1 be the initial amount in Atlanta. Then the amount it will carry is X1 + P1. The cost will be
C1 = FP1 x (4.15) (FP is for the amount of fuel purchased)
The limits are
24000 < X1 + FP1 < 36000
The amount left when it gets to LA will be, assuming regular consumption,
X2 = X1 + FP1 - 12000
The limits for FP2, FP3, and FP4 are
15000 < X1 + FP1 - 12000 + FP2 < 23000
9000 < X1 + FP1 + FP2 + FP3 - 12000 - 7000 < 17000
11000 < X1 + FP1 + FP2 + FP3 + FP4 - 12000 - 7000 - 3000 < 20000
Explanation / Answer
15000 < X1 + FP1 - 12000 + FP2 < 23000..........(1)
9000 < X1 + FP1 + FP2 + FP3 - 12000 - 7000 < 17000..........(2)
11000 < X1 + FP1 + FP2 + FP3 + FP4 - 12000 - 7000 - 3000 < 20000......(3)
here 1st modify these equations which gives
27000<X1 + FP1+ FP2<35000..................................(a).
28000< X1 + FP1 + FP2 + FP3 <36000.....................(b)
33000 < X1 + FP1 + FP2 + FP3 + FP4 < 42000......(c)
24000<X1+FP1<36000.............................................(d)
Now,substracting (b)-(a),(c)-(b),(a)-(d) gives
1000<FP3<1000 =>FP3=0;
5000<FP4<6000
3000<FP2<-1000 =>FP2=0;
Hence the limits are found.
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