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= 1.06a + 1.20b subject to 91a + 87b = 16,000 23a + 19b 2 2800 a20, b20. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) Derek should buy 122 share(s) of stock in Company A and 0 share(s) of stock in Company B. (Round to the nearest integer as needed.)Stock in Company A sells for $91 a share and has a 3-year average annual return of $23 a share. The beta value is 1.05. Stock in Company B sells for $82 a share and has a 3-year average annual return of $17 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 $2100 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 91a + 82b 23a + 17b a20, b20 (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)