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  • Provide Solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 38

Provide Solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 38

Answers (1)

Answer: 8 gold rings and 16 chains must be manufactured per day.

Hint:

Let, gold ring manufactured per day= x

        Chains manufactured per day= y

Given:

Total number of rings and chain manufactured per day is almost 24.

Time taken to make a ring=1 hour

Time taken to make a chain=30 minutes

Maximum number of hours available per day=16 hrs

Profit on a chain =190 and profit on ring=300

Solution:

Let gold rings manufactured per day=x

Chain manufacture per day=y

LPP is:

Maximize Z= 300x + 190y

Subject to x \geq 0, y \geq 0

x+y \leq 24, x+\frac{1}{2} \leq 16

Possible point for maximum Z is (16, 0), (8, 16) and (0, 24)

Hence Z MAXIMUM at (8, 16)

8 gold rings and 16 chains must be manufactured per day

 

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