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Provide Solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 46
Answers (1)
Answer: Therefore, 800 units of doll A and 400 units of doll B should be produced weekly to get the maximum profit of Rs.16000
Hint:
Use properties of LPP
Given:
A toy company manufacturers two types of dolls A and B and if the company makes profit of Rs.12 and Rs.16 per doll respectively.
Solution:
Let x units of doll A and y units of doll B are manufactured to obtain the maximum profit.
The mathematical formulation of the above problem as follows.
Maximize Z = 12x + 16y
Subject to
The shaded region represents the set of feasible solutions.
The coordinates of the corner points of the feasible region are O(0,0), A(800,400), B(1050,150) and C(600,0)
=12(0) + 16(0) = 0
The value of Z at A(800,400)
=12(800) + 16(400) = 16000
Maximum value of Z at B(1020,150)
=12(1050) + 16(150) = 15000
The value of Z at C(600,0)
=12(600) + 6(0) = 7200
Therefore, 800 units of doll A and 400 units of doll B should be produced weekly to get the maximum profit of Rs.16000.
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