Economics: Quantitative Analysis in Economic

The followings are the uses of mathematical in economics field:

1. To determine economic function
   Function plays an important role in deriving different economic functions. It can be represented by an equation or graph.
   For Example,
   Demand function = Qdx : a+bPx
   Qsx: a + bPx
   Consumption function = C : a+bYd
   
   
2. To determine equilibrium price
   An equilibrium price is determined at a price where the market demand is equal to the market supply.
   For example,
   Demand function, Qdx= 100-5Px
   Supply function, Qsx = 10+5Px
   Then, at equilibrium, Qdx = Qsx
   or, 100-5Px = 10+5Px
   \(\therefore\)Px = Rs 9 (equilibrium price)
   
   
3. To compute marginal economic values
   Marginal analysis of economic variables is closely related to different calculus. All marginal concepts can be expressed as derivatives or ratios.
   For example,
   Marginal Product (MP) = \(\frac{Change \:in\: total\: product}{Change\: in\: units\: of\: labour}\) = \(\frac{\triangle TP}{\triangle L}\) = \(\frac{dTP}{dL}\)
   Marginal Utility (MU) = \(\frac{Change\: in\: total\: utility}{Change\: in\: units\: of\: consumption}\)= \(\frac{\triangle TU}{\triangle Q}\) = \(\frac{dTU}{dQ}\)
   
   
4. To compute total economic values
   All economic functions in aggregate form can also be computed with the help of integration.
   For example,
   Total Utility (TU) = MU
   Total Product (TP) = MP
   
   
5. To solve problems of optimization
   All business firms and household have optimization problems. These problems can be solved with the equation, inequalities, linear programming and so on.

Use of Statistics in Economics

We use statistics to do empirical studies in economics. we can estimate required function by using statistical tools and technique. It also helps to estimate an economic parameter that measures the effect of one variable to another.

The followings are the uses of statistics in an economics field:

1. To study the consumption pattern and standard of living
   Consumption statistics reveals the pattern of the consumption of the various commodities by different sections of the society and also enable us to have some idea about their purchasing capacity and their standard of living.
   
   
2. To solve production related economic problems
   Production statistics is very useful in solving basic economic problems which have risen due to the scarce of resources and also help in the adjustment market supply to the market demand.
   
   
3. To study the process of pricing
   Exchange statistics reflects upon the process of pricing regarded to maximize the profit of business firms or to promote consumer's welfare.
   
   
4. To study the nature and process of income distribution
   Statistics play a prominent role while distributing the national income and calculated.
   
   
5. To formulate and evaluate economic policies
   Statistical methods are very useful to formulate economic policies. They also evaluate the effectiveness of these policies.
   
   
6. Means of economic planning
   The statistical method helps as a tool of economic planning. It evaluates the achievement and problems of the previous plan.
   
   
7. Basis of economic models and functions
   These help in the building economic models and function.