1. Harimau Paper Sdn. Bhd. converts pulpwood to low, medium and high grade newsprint. The pulpwood requirements for each newsprint, availability of each pulpwood, and selling price (per ton) are shown Table 1. The LP is Pulpwood 1 Pulpwood 2 Pulpwood 3 Price Low grade 2 1 1 RM 900 Max z = 900x₁ + 1000x₂ + 1200x3 S.t 2x₁ + 2x₂ + x3 ≤ 180 x₁ + 2x2 + 3x3 ≤ 120 x₁ + x₂ + 2x3 ≤ 160 X1, X2, X3 20 Table 1 Medium grade 2 2 1 RM 1000 High grade 1 3 2 RM 1200 Available (tons) 180 120 160

1. Harimau Paper Sdn. Bhd. converts pulpwood to low, medium and high grade newsprint. The pulpwood requirements for each newsprint, availability of each pulpwood, and selling price (per ton) are shown Table 1. The LP is Pulpwood 1 Pulpwood 2 Pulpwood 3 Price Low grade 2 1 1 RM 900 Max z = 900x₁ + 1000x₂ + 1200x3 S.t 2x₁ + 2x₂ + x3 ≤ 180 x₁ + 2x2 + 3x3 ≤ 120 x₁ + x₂ + 2x3 ≤ 160 X1, X2, X3 20 Table 1 Medium grade 2 2 1 RM 1000 High grade 1 3 2 RM 1200 Available (tons) 180 120 160

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1.
Harimau Paper Sdn. Bhd. converts pulpwood to low, medium and high grade newsprint. The
pulpwood requirements for each newsprint, availability of each pulpwood, and selling price (per
ton) are shown Table 1.
The LP is
Pulpwood 1
Pulpwood 2
Pulpwood 3
Price
Low grade
2
1
1
RM 900
Max z = 900x₁ + 1000x₂ + 1200x3
2x₁ + 2x₂ + x3 ≤ 180
S.t
x₁ + 2x2 + 3x3 ≤ 120
x₁ + x₂ + 2x3 ≤ 160
X1, X2, X3 20
Table 1
Medium grade
2
2
1
RM 1000
High grade
1
3
2
RM 1200
Available
(tons)
180
120
160

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(c) Additional Pulpwood 1 could be bought at RM 250 per ton. What would you recommend
to the company?
(d)
If 90 additional tons of Pulpwood are obtained, by how much will the optimal profit
increase?

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