Answer :


Let x and y be number of soaps be manufactured of 1st and 2nd type.


According to the question,


2x + 3y 480 , 3x + 5y 480, x , y


Maximize Z = 0.25x + 0.50y


The feasible region determined by 2x + 3y 480 , 3x + 5y 480, x , y is given by



The corner points of feasible region are A(0,96) , B(0,0) , C(160,0).


The value of Z at corner points are



The maximum value of Z is 48 at point (0,96).


Hence, the manufacturer should make 96 soaps of the 2nd type to make maximum profit.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A manufacturer prMathematics - Board Papers

A retired person Mathematics - Board Papers

A manufacturing cMathematics - Board Papers