Question 1a briefly outline the special cases and

Reference no: EM13348620

QUESTION 1

(a) Briefly outline the special cases and difficulties in Linear Programming (LP) when using the graphical method with relevant graph sketches

(b) A manufacturer produces two types of cotton cloth: Denim and Corduroy. Corduroy is a heavier grade cotton cloth and, as such, requires 3.5 kg of raw cotton per meter whereas Denim requires 2.5 kg of raw cotton per meter. A meter of Corduroy requires 3.2 hours of processing time, and a meter of Denim requires 3 hours. Although the demand for Denim is practically unlimited, the maximum demand for Corduroy is 510 meters per month. The manufacturer has 3,250 kg of cotton and 3,000 hours of processing time available each month. The production costs per meter of Denim and Corduroy are Rs 5.50 and Rs 7.00 respectively. Each meter of Denin sells for Rs 10 while each meter of Corduroy sells for Rs 13. The manufacturer is interested in finding the optimal combination of Denin and Corduroy that he should produce

(i) Formulate the complete linear programming model for the above problem. You should provide a clear definition of the components of the model

(ii) Graph the constraints lines for this linear programming problem and indicate clearly the feasible region, R

(iii) Determine the feasible corner point (X) and the quantity (in meters) of each type of cloth that the manufacturer should produce so as to maximize his profits

QUESTION 2

(a) Explain three benefits of inventory control

(b) Define what is meant by the optimal ordering quantity

(d) A catering company supplies 2000 packs of bottled water every month

The cost of placing an order with a bottling company is Rs 200. The monthly inventory holding costs are estimated to be Rs 20 per pack. A shortage fee of Rs 40 per pack per month is incurred each time the company is unable to meet a scheduled demand. Calculate-

(i) the economic order quantity?

(ii) the optimal level of inventory?

(iii) the time between orders

(iv) the re-order level

(v) the total optimal inventory cost

Reference no: EM13348620

Questions Cloud

Questionclark sells an office building through the current : questionclark sells an office building through the current year for 600000. the building was purchased in 1981 for

Question 1a four special cases and difficulties arise at : question 1a four special cases and difficulties arise at times when using graphical approach to solving lp problems.

Question 1a manufacturer must design a new material that : question 1a manufacturer must design a new material that must contain 2 components referred to as component a and

Question 1joe faces 3 choices after his graduation he can : question 1joe faces 3 choices after his graduation. he can go to a graduate school or set up his own business or assist

Question 1a briefly outline the special cases and : question 1a briefly outline the special cases and difficulties in linear programming lp when using the graphical method

Question 1a company produces two types of calculators : question 1a company produces two types of calculators namely scientific and graphing calculators. long-term projections

Question11 linear programming lp is a widely used : question1.1 linear programming lp is a widely used mathematical modeling techniques designed to help managers in

Questiona gold processor has two sources of gold ore source : questiona gold processor has two sources of gold ore source a and source b. in order to keep his plant running at least

Questiona furniture manufacturer produces two types of : questiona furniture manufacturer produces two types of desks standard and executive. these desks are then sold at rs

User Account

All Pages