## Numerical Model of LPP:-

**Objective**:- The main objective is long-run profit maximization and find optimal production Quantity (Mix).

**The measure of effectiveness**: The measure of effectiveness is profit obtained from each type of models so as to determine the optimal number of model of each type to be produced.

**Controllable Variable**

(a) The number of model of each type that should be manufactured.

(b) Should the firm spend on advertising, sales promotion etc.

**Uncontrollable Variable**

(a) Demand per month.

(b) Time machine consume.

I am considering two cases to meet my objective.

**(a). Certain Environment**: When our demand is certain (.et -For previous year data)

**(b). Uncertain Environment**: In real life, there may be a situation when some vagueness present in the data. The decision maker is not always certain about

the demand, time is taken by a machine during production. In this case, we take a demand is stochastic.

Here, we have 99%,95% and 90% confidence interval for the demand