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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
Transcribed Image Text: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.
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