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3.5k views
in Linear Programming by (65.5k points)

A Television company owned by Priyanka and Bhavana operates two assembly lines, line land line Each of line is used to assemble the components of three types of television: colour standard and economy. The expected daily production on each line is as follows:

TV model Line I Line II
Colour 3 1
Standard  1 1
Economy 2 6

The daily running costs fro two lines average Rs 6000 for line I and Rs 4000 for line II. It is given that company must produce at least 24 colour, 16 standard and 48 economy TV sets for which an order is pending. Formulate L.P.P. and solve graphically determining the number of days the two lines should be run to meet the requirements.

1 Answer

+1 vote
by (65.3k points)
selected by
 
Best answer

Min Z = 6000x + 6000y 

subject to constraint 

3x + y ≥ 24 

x + y ≥ 16 

2x + 6y ≥ 48 

x, y ≥ 0

plot the above lines on the graph.

z is minimum at B(4, 12) 

z min = 72,000

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