Quizzes

Linear Programming questions

Linear Programming Questions

Welcome to LearnbyRays and here are Linear optimization questions that will challenge you in one way

or another. Enjoy

Question 1

A cement dealer has two deposits D1 and D2 holding 120 and 40 tons respectively. He has two customers C1 

and C2 who has ordered 80 and 50 tons of cement respectively. C1 is 20km from D1 and 40km from D2. C2 is

15 km from D1 and 30km from D2. Delivery costs are proportional to the distance travelled. How should he 

supply his customers to minimize the total transport cost?

Question 2

The fontyn company possesses two manufacturing plants, each of which can produce three products D, E and

F from a common raw material. However, the proportions in which the products are produced are different in 

each plant. The following are data on production per hour and costs together with current orders on hand for

each product.

PLANT	PRODUCT	OPERATING COST PER HR
	D                  E                       F
M	2                   4                       3	90 000
N	4                   3                       2	100 000
ORDER ON HAND	50                24                      60

(i) Use the graphical method to find out the number of production hours needed.......

For more questions, download the PDF file down here..

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