>Q. 4 The meat department of a super market deals in three types of meat, say, A. B and C. The manager of the department finds that he has 240 pounds of A, 900 pounds of B and 450 pounds of C on a Saturday morning. From past experience, he knows that he can sell two-thirds of these quantities as straight cuts. The remaining meat will have to be ground into hamburger patties and picnic patties for which there is a long weekend demand. Each pound of hamburger patties contains 20% A and 60% B. Each pound of picnic patties contains 50% B and 30% C. The remainder of each product consists of an inexpensive non-meat filler which is available in unlimited quantities. How many pounds of each product should be made so that the maximum amount of meat is used?

>Q. 4 The meat department of a super market deals in three types of meat, say, A. B and C. The manager of the department finds that he has 240 pounds of A, 900 pounds of B and 450 pounds of C on a Saturday morning. From past experience, he knows that he can sell two-thirds of these quantities as straight cuts. The remaining meat will have to be ground into hamburger patties and picnic patties for which there is a long weekend demand. Each pound of hamburger patties contains 20% A and 60% B. Each pound of picnic patties contains 50% B and 30% C. The remainder of each product consists of an inexpensive non-meat filler which is available in unlimited quantities. How many pounds of each product should be made so that the maximum amount of meat is used?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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