Join Sarthaks eConnect Today - Largest Online Education Community!
0 votes
in Mathematics by (5.9k points)

A decorative item dealer deals in two items A and B. He has  15,000 to invest and a space to store at the most 80 pieces. Item A costs him 300 and item B costs him 150. He can sell items A and B at respective profits of  50 and  28. Assuming he can sell all that he buys, formulate the linear programming problem in order to maximize his profit and solve it graphically.

1 Answer

+1 vote
by (11.7k points)
selected by
Best answer

Let x be the number of pieces of item A and y be the number of pieces of item B.

The feasible shaded region (OABC) is shown in graph, then four points O, A, B and C are critical points. Substituting the values of these points in profit equation, we get 

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.