A store sells two types of toys, A and B. The store owner pays RM 8 and RM 14 for each one unit of toy A and B respectively. One unit of toys A yields a profit of RM 2.20 while a unit of toys B yields a profit of RM 3.50. The store owner estimates that no more than 2000 toys will be sold every month and he does not plan to invest more than RM 20,000 in inventory of these toys. i. Write a system of linear inequalities that indicates appropriate restraints on x and y. ii. Find the set of feasible solutions graphically for the number of toys to be sold. How many units of each type of toys should be stocked in order to maximize his monthly total profit? iii.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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(b)
A store sells two types of toys, A and B. The store owner pays RM 8 and RM 14 for each
one unit of toy A and B respectively. One unit of toys A yields a profit of RM 2.20 while a
unit of toys B yields a profit of RM 3.50. The store owner estimates that no more than 2000
toys will be sold every month and he does not plan to invest more than RM 20,000 in
inventory of these toys.
i.
Write a system of linear inequalities that indicates appropriate restraints on x and y.
ii.
Find the set of feasible solutions graphically for the number of toys to be sold.
How many units of each type of toys should be stocked in order to maximize his
monthly total profit?
111.
Transcribed Image Text:(b) A store sells two types of toys, A and B. The store owner pays RM 8 and RM 14 for each one unit of toy A and B respectively. One unit of toys A yields a profit of RM 2.20 while a unit of toys B yields a profit of RM 3.50. The store owner estimates that no more than 2000 toys will be sold every month and he does not plan to invest more than RM 20,000 in inventory of these toys. i. Write a system of linear inequalities that indicates appropriate restraints on x and y. ii. Find the set of feasible solutions graphically for the number of toys to be sold. How many units of each type of toys should be stocked in order to maximize his monthly total profit? 111.
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