Please answer it in clear way 6. A paper mill converts pulpwood to low. medium a
ID: 2908293 • Letter: P
Question
Please answer it in clear way6. A paper mill converts pulpwood to low. medium and high grade newsprint. The pulpwrood requirements for earh newspr ton) are shown below: ?nt, availability of each pulpwood, and selling Prim (per Low Medium High | Available grade grade grade (tons) Virginia pine 2 White pine Loblolly pine 1 180 2 160 Price- $900 1000 $1200 The associated linear program ?? MAX SUBJECT TO 900 X1 1000 X2 1200 X3 - 180 120 + s3 = 160 2 X12 X2 X3 S1 S2 X12 X23 X3 X22 X3 X1 with the optimal tableau 3 812 83 RHS 1 0 2000 300 300 0 90,000 0 1 0.8 0 0.6 -0.2 0 8 0 0 0.4 1 -0.2 0.40 12 0 0 -0.6 0 -0.2 -0.6 1 52
Explanation / Answer
a) Here X1: denote number of units of low grade to be produced
X2: denote number of units of medium grade to be produced
X3: denote number of units of high grade to be produced
from obtimum simplex table we have otimum solution is
X1=84, X2=2 and X3=12
hence to maximize profit 84 untis of the low grade newsprits (X1) should be produced and 12 units of high grade newsprints should be produced
b) It is not possible to produce 100 units of the medium grade paper. because it can not satisfy first two constraints.
c) Since optimal solution does not contain medium grade newsprints. hence thre is no effect of medium grade price.