Law of variable proportion
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Here are the key points regarding Mallikarjuna's problem and suggestions to improve the functioning of the shop: 1. Mallikarjuna's problem fits the law of variable proportions. As he increases the number of assistants (variable input) from 0 to 3, total output/customers served initially increases at an increasing rate as one assistant can help multiple customers. However, beyond 3 assistants, adding more in the limited space leads to diminishing returns as customers get inconvenienced in the crowded shop. 2. Suggestions to improve: - Increase shop floor area to accommodate more customers comfortably without overcrowding. This allows employing more assistants without diminishing returns. - Add more billing counters to reduce
Law of variable proportion
- 2. SUMITTED BY MUKESH KUMAR NAWAZ AHAMED SANDIP SANTOSH SACHIN AMAR
- 3. Production Function-Explains the relationship between factor input and output in physical terms. Or the term PRODUCTION means transformation of physical “inputs” into physical “outputs”.
- 4. A production function can be represented in the form of a mathematical model of equation as Q = f ( a,b,c,…… etc.) where Q stands for quantity of output per unit of time and a, b, c, etc are the various factor inputs like land, capital, labour etc, which are used in the production of output.
- 5. FIXED INPUTS : Fixed inputs are those factors the quantity of which remains constant irrespective of the level of output produced by a firm. For example, land, buildings, mach ines, tools, equipments, superi or types of labour, top management etc. VARIABLE INPUTS : Variable inputs are those factors the quantity of which varies with variations in the levels of output produced by a firm for example, raw materials, power fuel, water, transport, labour and communication etc.
- 6. SHORT RUN LONG RUN
- 7. In this case, the producer will keep all fixed factors as constant and changes only a few variable factor inputs. For example, Law of Variable Proportions.
- 8. In this case, the producer will vary the quantities of all factor inputs both fixed as well as variable in the same proportion. For example, the laws of returns to scale.
- 9. In the short-run the level of production can be changed by changing the factor proportions. This law examines the production function with on factor variable, keeping the other factors quantities fixed.
- 10. The law explains the short-run production function. When the quantity of one input is varied, keeping other inputs constant, the proportion between factors changes. When the proportio n of variable factors increases, the total output does not always increase in the same proportion, but in varying pro portion.
- 11. Only one factor is variable while others are held constant. All units of the variable factor are homogeneous. There is no change in Technology. It is possible to vary the proportions in which different inputs are combined. The products are measured in physical units, i.e., in quintals, tonnes etc.
- 12. QUANTITY OF TOTAL AVERAGE MARGINAL LABOUR PRODUCT PRODUCT PRODUCT (TP) (AP) (MP) 1 100 100 100 2 210 105 110 3 330 110 120 4 430 107.5 100 5 520 104 90 6 600 100 80 7 670 95.7 70 8 720 90 50 9 750 83.3 30 10 760 76 10 11 740 67.2 - 20
- 13. It refers to the total volume of goods produced during a specified period of time. Total product (TP)can be raised only by increasing the quantity of variable factors employed in production.
- 14. Average product can be known by dividing total product by the total number of units of the variable factor. TP/Q Eg- 450/5=90
- 15. It is output derived from the employment of an additional unit of variable factor unit. The rate at which total product increases is known as marginal product. Addition to the total product resulting from a unit increase in the quantity of the vari able factor.
- 16. When AP rises as a result of an increase in the quantity of variable input, MP is more then the average product. When AP are maximum then MP is equal to AP. The MP curve cuts the AP curve at its maximum. When AP falls as a result of decrease in quantity of variable input, MP is less than the AP.
- 18. Stage 1- THE LAW ON INCREASING RETURNS. Stage 2- THE LAW OF DIMINSHING RETURNS. Stage 3- THE STATE OF NAGATIVE RETURNS
- 19. TP increases at an increasing rate up to a point F. MP also rises and is maximum at point F. AP goes on rising. After point F , TP rises but at diminishing rate. MP falls but is positive. Stage 1 ends where AP reaches its highest point.
- 20. TP continues to increase at a diminishing rate, until it reaches it maximum point H. Both MP and AP continuously fall during this stage. Stage ends when TP reaches its maximum point H.
- 21. TP declines. MP negative. AP is diminishing.
- 22. A rational producer will never produce in stage 3, where MP is negative. A rational producer will also not produce in stage 1, where the MP of fixed factor is negative. The producer producing in stage 1 will not be making best use of fixed factor and he will not be utilizing fully the opportunity of increasing production by increasing quantity of variable factor.
- 23. A rational producer will produce in stage 2, where both MP and AP of variable factors are diminishing.
- 25. Mallikarjuna‟s shop is very popular and stocks all kinds of goods- from rice and wheat to processed food, imported chocolates and cheese. There is a small section which has a photocopying machine and a STD booth. MR. Mallikarjuna runs the shop with the help of his children.
- 26. The family noticed Morning Afterno Evening on that the number of shoppers varied between times and Mon- 50 40 65 days (See table) Friday During weekdays, MR. Mallikarjuna could Sat- Sunday 165 85 30 manage with his children, but not in week ends.
- 27. Sunday morning buyers were „ value crowd‟- bulk buyers, spent extra on something new and attractive but wanted a pleasant experience and were upset at the overcrowded shop. At certain times there were not many shoppers.
- 28. He employed 3 assistants during week ends, but that did not solve the problem as the shop had a small floor area and only one billing machine 1.Can you explain Mallikarjuna‟s problem in terms of law of variable proportions? 2.Suggest in detail how he can improve the functioning of the shop.