>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?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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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
inexpensíve 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?
CS Scanned with CamScanner
Transcribed Image Text: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 inexpensíve 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? CS Scanned with CamScanner
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