LO 2.5 11. The management of Sure Cure Hospital supports research by doctors every year through grants to its departments engaged in research programs. The management has received requests for research support from Paediatrics and Oncology departments. The two departments require minimum of 4 crore and ? 7 crore respectively to begin research in new areas. The Paediatrics department claim they can get one patent for every 1.25 crore of rupees they spend on the new research whereas Oncology department claim they would get one patent for every two crore of rupees they spend. A total ofR 12 crore have been allocated by the management to be distributed among the two departments. While it has agreed in principle to approve both the new projects, the management is not sure about the exact amounts each department should Formulate this problem as an LPP and determine graphically the optimal amounts to be granted to the two departments, if the objective is to maximise the expected number of patents resulting from research get.

LO 2.5 11. The management of Sure Cure Hospital supports research by doctors every year through grants to its departments engaged in research programs. The management has received requests for research support from Paediatrics and Oncology departments. The two departments require minimum of 4 crore and ? 7 crore respectively to begin research in new areas. The Paediatrics department claim they can get one patent for every 1.25 crore of rupees they spend on the new research whereas Oncology department claim they would get one patent for every two crore of rupees they spend. A total ofR 12 crore have been allocated by the management to be distributed among the two departments. While it has agreed in principle to approve both the new projects, the management is not sure about the exact amounts each department should Formulate this problem as an LPP and determine graphically the optimal amounts to be granted to the two departments, if the objective is to maximise the expected number of patents resulting from research get.

Name: LO 2, 511. The management of Sure Cure Hospital supports research by
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Description: LO 2, 511. The management of Sure Cure Hospital supports research by doctors every year through grants to itsdepartments engaged in research programs. The management has received requests for research supportfrom Paediatrics and Oncology departments

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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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

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Question

LO 2, 5
11. The management of Sure Cure Hospital supports research by doctors every year through grants to its
departments engaged in research programs. The management has received requests for research support
from Paediatrics and Oncology departments. The two departments require minimum of 4 crore and
7 crore respectively to begin researeh in new areas, The Paediatrics department claim they can get one
patent for everry 1.25 crore of rupees they spend on the new research whereas Oncology department
claim they would get one patent for every two crore of rupees they spend. A total of 12 crore have
been allocated by the management to be distributed among the two departments. While it has agreed in
principle to approve both the new projects, the management is not sure about the exact amounts each
department should get.
Formulate this problem as an LPP and delermine graphically the optimal amounts to be granted to the
Iwo departments, if the objective is to maximise the expected number of patents resulting from research.

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