Formulate but do not solve the problem.A private investment club has $150,000earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories:high-risk,medium-risk,andlow-risk.Management estimates that high-risk stocks will have a return rate of16%/year; medium-risk stocks,9%/year; andlow-riskstocks,5%/year. The members have decided that the investment inlow-riskstocks should be equal to the sum of the investments in the stocks of the other two categories. Determine how much the club should invest in each type of stock if the investment goal is to have a return of $15,000/year on the total investment. (Assume that all the money available for investment is invested. Letx,y, andzdenote the amount, in dollars, invested in high-, medium-, andlow-riskstocks, respectively.)

	=	150,000
	=	z
	=	15,000