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. Minimize z= 1.05a + 1.21b subject to 91a + 82b s 17,000 23a + 17b > 2100 a20, b20. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) Derek should buy share(s) of stock in Company A and share(s) of stock in Company B. (Round to the nearest integer as needed.)Stock in Company A sells for $92 a share and has a 3-year average annual return of $25 a share. The beta value is 1.04. Stock in Company B sells for $84 a share and has a 3-year average annual return of $18 a share. The beta value is 1.21. Derek wants to spend no more than $17,000 investing in these two stocks, but he wants to earn at least $2400 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. 2 = subject to 92a + 84b 25a + 18b V a20, b20. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)