An advertising company wishes to plan its advertising strategy in three different media-television,radio and magazines.The purpose of advertising is to reach as large a number of potential customers as possible.Following data have been obtained from market survey:
|Cost of an advertising company||Rs.$$30,000$$||Rs.$$20,000$$||Rs.$$15,000$$||Rs.$$10,000$$|
|No.of potential customers reached per unit||$$2,00,000$$||$$6,00,000$$||$$1,50,000$$||$$1,00,000$$|
|No.of female customers reached per unit||$$1,50,000$$||$$4,00,000$$||$$70,000$$||$$50,000$$|
The company wants to spend not more than Rs.$$4,50,000$$ on advertising.Following are the further requirements that must be met:
$$\left(i\right)$$at least $$1$$ million exposures take place among female customers.
$$\left(ii\right)$$advertising on magazines be limited to Rs.$$1,50,000$$
$$\left(iii\right)$$at least $$3$$ advertising units be bought on magazine $$I$$ and $$2$$ units on magazine $$II$$
$$\left(iv\right)$$the number of advertising units on television and radio should each be between $$5$$ and $$10.$$
Formulate an L.P model for the problem.