Stock in Company A sells for $89 a share and has a 3-year average annual return of $22 a share. The beta value is 1.23. Stock in Company B sells for $81 a share and has a 3-year average annual return of $15 a share. The beta value is 1.05. Derek wants to spend no more than $15,000 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. Minimize subject to z = 1.23a + 1.05b 89a+81b 15000 22a +15b 2 2100 a>0, b0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) share(s) of stock in Company B. Derek should buy share(s) of stock in Company A and (Round to the nearest integer as needed.)

Stock in Company A sells for $89 a share and has a 3-year average annual return of $22 a share. The beta value is 1.23 . Stock in Company B sells for $81 a share and has a 3-year average annual return of $15 a share. The beta value is 1.05 Derek wants to spend no more than $15,000 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. Minimizesubjecttoz=1.23a+1.05b89a+81b1500022a+15b2100a0,b0. (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 (Round to the nearest integer as needed.) share(s) of stock in Company B