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GATE ME 2000

Numerical

+5

-0

The forecasts for a product for the next three months are given as $$750,850$$ and $$1000$$ units. The number of regular time days and overtime days available are $$22,18,$$ $$22$$ and $$4,$$ $$4,5$$ respectively. With the existing number of employees, the company can produce $$38$$ units per day. To meet the high demand in the third month, the company decides to hire people to increase the daily production to $$45$$ units.

The following costs are given :

Cost of regular time production $$=$$ Rs. $$20$$ per unit

Cost of overtime production $$=$$ Rs. $$25$$ Per unit

Cost of hiring $$=$$ $$200{L^2}$$

where $$'L'$$ is the increase in daily capacity

Inventory $$=$$ Rs. $$10$$ per unit per month (based on average inventory)

Shortage (back-ordering cost) $$=$$ Rs. $$20$$ per unit per month

The beginning inventory is $$100$$ units. The company decides to produce $$800,$$ $$700$$ and $$900$$ units respectively in the three months. Compute the cost of the production plan.

Your input ____

Questions Asked from Production Planning and Control (Marks 5)

Number in Brackets after Paper Indicates No. of Questions

GATE ME Subjects

Engineering Mechanics

Strength of Materials

Theory of Machines

Engineering Mathematics

Machine Design

Fluid Mechanics

Turbo Machinery

Heat Transfer

Thermodynamics

Production Engineering

Industrial Engineering

General Aptitude