AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A company produces two products, P1 and P2, and wants to determine the optimal production mix that maximizes the profit. The profit per unit of P1 is Rs. 6 and the profit per unit of P2 is Rs. 5. The company has a maximum of 50 units of a certain raw material available per day. Each unit of P1 requires 2 units of the raw material, while each unit of P2 requires 3 units of the raw material. Formulate the linear programming problem to determine the optimal production mix of P1 and P2.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let x be the number of units of P1 produced.
Let y be the number of units of P2 produced.

The objective function, to be maximized, is given by:

Z = 6x + 5y

The constraint is:

2x + 3y <= 50 (raw material)
x >= 0, y >= 0

The linear programming problem can be solved graphically or by using the simplex method. The optimal production mix is x = 16.67 and y = 5.56, with a maximum profit of Rs. 110.56.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!