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Math 473 Assignment 1 Q1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. a- Formulate a mathematical model of the problem. b- Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method.

Math 473 Assignment 1 Q1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. a- Formulate a mathematical model of the problem. b- Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Math 473 Assignment 1 QI) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. a- Formulate a mathematical model of the problem. b- Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method. Q2) A company manufactures two products XI and X2 on three machines A, B, and C. XI require 1 hour on machine A and 1 hour on machine B and yields a revenue of SR.3/-. Product X2 requires 2 hours on machine A and 1 hour on machine B and 1 hour on machine C and yields revenue of SR. 5/-. In the coming planning period the available time of three machines A, B, and Care 2000 hours, 1500 hours and 600 hours respectively. Find the optimal product mix using Graphical Method. Q3) Solve the following LPP Graphically a- Minimize z = 1.5x + 2.5y x + 6y 2 2 x + 3y 2 3 S.T.C. and x, y 20 b- Maximize Z = 3a + 2b a - bs1 a +b23 S.T.C. and a, b 20 C- Maximize Z = 30x + 40y S.T.C. 3x + 2y < 600 3x + 5y s 800 5x + бу S 1100 and x, y 20 d- Minimize Z = 2000x + 1500y 6x + 2y 28 2x + 4y 2 12 4x + 12y 2 24 S.T.C. and x, y 20
Transcribed Image Text:Math 473 Assignment 1 QI) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. a- Formulate a mathematical model of the problem. b- Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method. Q2) A company manufactures two products XI and X2 on three machines A, B, and C. XI require 1 hour on machine A and 1 hour on machine B and yields a revenue of SR.3/-. Product X2 requires 2 hours on machine A and 1 hour on machine B and 1 hour on machine C and yields revenue of SR. 5/-. In the coming planning period the available time of three machines A, B, and Care 2000 hours, 1500 hours and 600 hours respectively. Find the optimal product mix using Graphical Method. Q3) Solve the following LPP Graphically a- Minimize z = 1.5x + 2.5y x + 6y 2 2 x + 3y 2 3 S.T.C. and x, y 20 b- Maximize Z = 3a + 2b a - bs1 a +b23 S.T.C. and a, b 20 C- Maximize Z = 30x + 40y S.T.C. 3x + 2y < 600 3x + 5y s 800 5x + бу S 1100 and x, y 20 d- Minimize Z = 2000x + 1500y 6x + 2y 28 2x + 4y 2 12 4x + 12y 2 24 S.T.C. and x, y 20
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