(Maximization)

1.         A manufacturer has 5 machines and 5 workers working. The output for worker machine combination is given.

 Workers Machines 1 2 3 4 5 W1 20 23 27 32 36 W2 19 23 29 34 40 W3 23 28 35 39 34 W4 21 24 31 37 42 W5 22 28 31 36 41

(i)       Find worker machine combination that maximizes total output

(ii)      If profit per unit is Rs. 10/-. Find total profit.

(Ans :  W1 ® 1, W2 ® 5, W3 ® 3, W4 ® 4, W5 ® 2; Total Output = 160 units, Total profit = Rs. 1600)

2.         Four machines can do 4 jobs. The output per machine in units is given below. Determine the job machine combination for maximum profit.

 Machine Jobs 1 2 3 4 M1 60 40 60 70 M2 20 60 50 70 M3 20 30 40 60 M4 30 10 30 40

(Ans :  M1 ® 1, M2 ® 2, M3 ® 4, M4 ® 3 OR M1 ® 3, M2 ® 2, M3 ® 4, M4 ® 1)

3.         5 salesman are to be assigned 5 cities based on past performance data and following table sowing annual sales (in Rs. Lakhs). Find optimum assignment

 City Salesman A B C D E S1 26 14 10 12 9 S2 31 27 30 14 16 S3 15 18 16 25 30 S4 17 12 21 30 25 S5 20 19 25 16 10

(Ans :  S1 ® A, S2 ® B, S3 ® E, S4 ® D, S5 ® C; Sales = 26 + 27 + 30 + 30 + 25 = 138 lakhs)

4.         A five star hotel which has 4 banquet halls was used for functions. The halls are of same but with varying facilities. 4 parties approached to a hall for the function on same day. These parties were told that the first choice would cost Rs. 10,000 for the day. They were told to indicate the 2nd, 3rd & 4th preferences and the price they were willing to pay the two parties A & D told that they were not interested in halls 3 and 4. The following table shows preference wise income details. What would be the optimal assignment to maximize the total revenue ? (Figures in 1000)

 Halls Parties 1 2 3 4 A 10 9 – – B 8 10 8 5 C 7 10 6 8 D 10 8 – –

(Ans :  A ® 2, B ® 3, C ® 4, D ® 1; Revenue (1000) = 9 + 8 + 8 +  10 = 35)

The following two tabs change content below.

#### MT UVA BMS

MT UVA- University, Vocational and Affiliated Education for BMS
1 Comment

BMS.co.in is aimed at revolutionising Bachelors in Management Studies education, also known as BMS for students appearing for BMS exams across all states of India. We provide free study material, 100s of tutorials with worked examples, past papers, tips, tricks for BMS exams, we are creating a digital learning library.

Disclaimer: We are not affiliated with any university or government body in anyway.

©2020 BMS - Bachelor of Management Studies Community