+1 vote
in Data Structures & Algorithms II by (89.1k points)
Given items as {value,weight} pairs {{60,20},{50,25},{20,5}}. The capacity of knapsack=40. Find the maximum value output assuming items to be divisible and nondivisible respectively.

(a) 100, 80

(b) 110, 70

(c) 130, 110

(d) 110, 80

I got this question in an online quiz.

Question is taken from Greedy Algorithms in portion Greedy Algorithms of Data Structures & Algorithms II

1 Answer

+1 vote
by (962k points)
selected by
 
Best answer
Correct option is (d) 110, 80

The best I can explain: Assuming items to be divisible-

The value/weight ratio are {3, 2, 4}.So we include third and first items wholly. So, now only 15 units of volume are left for second item. So we include it partially.

Final volume = 20+60+50x(15/25)=80+30=110

Assuming items to be indivisible- In this case we will have to leave one item due to insufficient capacity.

Final volume = 60 + 20 = 80.

Related questions

Welcome to TalkJarvis QnA, a question-answer community website for the people by the people. On TalkJarvis QnA you can ask your doubts, curiosity, questions and whatever going in your mind either related to studies or others. Experts and people from different fields will answer.

Most popular tags

biology – class 12 biology – class 11 construction & building materials chemistry – class 12 electronic devices & circuits network theory data structures & algorithms ii cell biology ic engine insurance finance money computational fluid dynamics engineering physics i discrete mathematics chemistry – class 11 aerodynamics casting-forming-welding i engineering mathematics operating system casting-forming-welding ii engineering drawing mysql engineering geology digital circuits wireless mobile energy management electrical measurements digital communications cyber security analytical instrumentation embedded systems electric drives cytogenetics computer fundamentals life sciences basic civil engineering advanced machining iot design of electrical machines physics – class 12 applied chemistry dairy engineering basic chemical engineering cloud computing microprocessor bioinformatics aircraft design aircraft maintenance software engineering drug biotechnology digital signal processing biochemistry data structures & algorithms i automotive engine design avionics engineering material & metallurgy energy engineering cognitive radio unix electrical machines biomedical instrumentation object oriented programming electromagnetic theory power electronics analog communications bioprocess engineering civil engineering drawing engineering metrology physics – class 11 mathematics – class 12 engineering chemistry i basic electrical engineering unit processes mongodb signals and systems cryptograph & network security hadoop mathematics – class 11 engineering physics ii html control systems engineering mechanics antennas analog circuits computer network java sql server javascript concrete technology chemical process calculation artificial intelligence design of steel structures c++ database management computer architecture engineering chemistry ii corrosion engineering chemical technology dc machines
...