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A company manufactures 3 types of parts which use precious metals platinum and gold. Due to storage of these precious metals

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Quantitative Methods<br />

1. It is said that management is equivalent <strong>to</strong> decision-making. Do you agree? Explain.<br />

2. All quantitative techniques have hardly any real-life applications.” Do you agree with<br />

the statement? Discuss.<br />

3. A <strong>company</strong> <strong>manufactures</strong> 3 <strong>types</strong> <strong>of</strong> <strong>parts</strong> <strong>which</strong> <strong>use</strong> <strong>precious</strong> <strong>metals</strong> <strong>platinum</strong> <strong>and</strong><br />

<strong>gold</strong>. <strong>Due</strong> <strong>to</strong> s<strong>to</strong>rage <strong>of</strong> <strong>these</strong> <strong>precious</strong> <strong>metals</strong>, the government regulates the amount that<br />

may be <strong>use</strong>d per day. The relevant data with respect <strong>to</strong> supply, requirements <strong>and</strong> pr<strong>of</strong>its<br />

are summarized in the table as follows: Daily allotment <strong>of</strong> <strong>platinum</strong> <strong>and</strong> <strong>gold</strong> are 160 gm<br />

<strong>and</strong> 120 gm respectively. How should the <strong>company</strong> divide the supply <strong>of</strong> scare <strong>precious</strong><br />

<strong>metals</strong>?<br />

4. Write a note on the economic interpretation <strong>of</strong> the dual.<br />

5. A sales manager wishes <strong>to</strong> assign four sales terri<strong>to</strong>ries <strong>to</strong> four sales persons. The sales<br />

persons differ in their sales acumen <strong>and</strong>, consequently, the sales expected <strong>to</strong> be effected<br />

in each terri<strong>to</strong>ry are different for each sales person. The estimates <strong>of</strong> sales per month for<br />

each sales person in each terri<strong>to</strong>ry are given below:<br />

Suggest optimal assignment <strong>of</strong> the four sales persons <strong>to</strong> various terri<strong>to</strong>ries <strong>and</strong> the <strong>to</strong>tal<br />

6. Give the various sequencing models that are available for solving sequencing<br />

problems. Give suitable examples.<br />

7. Explain the basic queuing process. State the meaning <strong>of</strong> queue discipline <strong>and</strong> give its<br />

role in queuing problem.


8. Give the role <strong>of</strong> queuing theory in decision-making <strong>and</strong> discuss its application.<br />

9. A <strong>company</strong> distributes its products by trucks loaded at its only loading station.<br />

10. Explain the steps involved in solution <strong>to</strong> dynamic programming problems.

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