7. An office supply company needs to buy blue pens and red pens. They can buy from three different suppliers: Pam's Pens, Michael's Materials, and Jim's Journals. Pam's Pens sells a set of 20 packs of blue pens and 10 packs of red for $50, Michael's Materials sells a set of 10 packs of blue pens and 10 packs of red for $40, and Jim's Journals sells a set of 10 packs of blue pens and 20 packs of red for $50. Additionally, the company needs at least 350 packs of blue pens and 400 packs of red. The company wants to determine how many sets it should buy from each supplier in order to minimize cost. Note: you will not be fully solving this problem. (a) Define variables for modeling this scenario, and write down the objective function. (b) Identify the constraint inequalities of the problem. (c) At some point during the simplex method, you arrive at the following tableau:

7. An office supply company needs to buy blue pens and red pens. They can buy from three different suppliers: Pam's Pens, Michael's Materials, and Jim's Journals. Pam's Pens sells a set of 20 packs of blue pens and 10 packs of red for $50, Michael's Materials sells a set of 10 packs of blue pens and 10 packs of red for $40, and Jim's Journals sells a set of 10 packs of blue pens and 20 packs of red for $50. Additionally, the company needs at least 350 packs of blue pens and 400 packs of red. The company wants to determine how many sets it should buy from each supplier in order to minimize cost. Note: you will not be fully solving this problem. (a) Define variables for modeling this scenario, and write down the objective function. (b) Identify the constraint inequalities of the problem. (c) At some point during the simplex method, you arrive at the following tableau:

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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Question

7. An office supply company needs to buy blue pens and red pens. They can buy from
three different suppliers: Pam's Pens, Michael's Materials, and Jim's Journals. Pam's
Pens sells a set of 20 packs of blue pens and 10 packs of red for $50, Michael's Materials
sells a set of 10 packs of blue pens and 10 packs of red for $40, and Jim's Journals sells
a set of 10 packs of blue pens and 20 packs of red for $50. Additionally, the company
needs at least 350 packs of blue pens and 400 packs of red. The company wants to
determine how many sets it should buy from each supplier in order to minimize cost.
Note: you will not be fully solving this problem.
(a) Define variables for modeling this scenario, and write down the objective function.
(b) Identify the constraint inequalities of the problem.
(c) At some point during the simplex method, you arrive at the following tableau:
1 0.5 0.5 -0.05 0
O17.5
-1 0 225
1-875
05 15
0.5
0 -15 25
2.5
If you were to continue applying the simplex method, what would be the next
pivot element? Justify your answer.

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