Suppose that a manufacturing company builds n different types of robots, sayrobots 1, 2, . . . , n. These robots are made from a common set of m types of materials, saymaterials 1, 2, . . . , m. The company has only a limited supply of materials for each year,the amount of materials 1, 2, . . . , m are limited by the numbers b1, b2, . . . , bm, respectively.Building robot i requires an aij amount from material j. For example, building robot 1requires a11 from material 1, a12 from material 2, etc. Suppose the profit made by sellingrobot i is pi.Write an integer linear program for maximizing the annual profit for thecompany Suppose that a manufacturing company builds n different types of robots, sayrobots 1, 2,..., n. These robots are made from a common set of m types of materials, saymaterials 1, 2, ..., m. The company has only a limited supply of materials for each year,the amount of materials 1, 2, ..., m are limited by the numbers bị, b2, ... , bm, respectively.Building robot i requires an aij amount from material j. For example, building robot 1requires a11 from material 1, a12 from material 2, etc. Suppose the profit made by sellingrobot i is p;. Write an integer linear program for maximizing the annual profit for thecompany

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Suppose that a manufacturing company builds n different types of robots, say
robots 1, 2, . . . , n. These robots are made from a common set of m types of materials, say
materials 1, 2, . . . , m. The company has only a limited supply of materials for each year,
the amount of materials 1, 2, . . . , m are limited by the numbers b1, b2, . . . , bm, respectively.
Building robot i requires an aij amount from material j. For example, building robot 1
requires a11 from material 1, a12 from material 2, etc. Suppose the profit made by selling
robot i is pi.

Write an integer linear program for maximizing the annual profit for the
company

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