A client approached a stockbroker in an economy where stocks are sold in a stock market. The client has the following request to the broker: Invest $ 100,000 for maximum annual income under the following conditions:

a. Spread the investment over no more than three different stocks.

b. put no more than 40% of the investment in to any stock.

c. put a minimum of $10,000 in to oil stock.

Stock	Price per share	Estimated annual return per share
Oil	$120	$11
Auto	52	4
Health	18	2

Formulate an LP model of the problem.