Stock in Company A sells for $91 a share and has a 3-year average annual return of $21 a share. The beta value is 1.25. Stock in Company B sells for $88 a share and has a 3-year average annual return of $20 a share. The beta value is 1.07. Derek wants to spend no more than $16,000 investing in these two stocks, but he wants to earn at least $2900 in annual revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that Derek should buy. Set up the linear programming problem. Let a represent the number of shares of stock in Company A, b represent the number of shares of stock in Company B, and z represent the total beta value. subject to z= 91a +88b 21a+20b a0, b0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)