The Hal Chase Investment Planning Agency is in business to help investors optimize their return from investment. Hal deals with three investment mediums: a stock fund, a bond fund, and his own Sports and Casino Investment Plan (SCIP). The stock fund is a mutual fund investing in openly traded stocks. The bond fund focuses on the bond market, which has a more stable, but lower, expected return. SCIP is a high-risk scheme, often resulting in heavy losses but occasionally coming through with spectacular gains. Average returns, their variances, and covariances are given in the accompanying table. Develop and solve a portfolio optimization model for this situation for a target return of 7%. Click the icon to view the table. Complete the table of optimal allocations. - X Table of Returns, Variances, and Covariances Investment Proportion Stock Bond Stock Bond SCIP Average return 0.138 0.06 0. 152 SCIP Variance 0.014697 0.000155 0. 160791 (Round to two decimal places as needed.) Covariance with stock 0.000468 - 0.002222 Covariance with bond - 0.000227 Print DoneMany manufacturing situations, for example, the production of such large and complex items as aircraft or machines, exhibit a learning effect in which the production time per unit decreases as more units are produced. This is often modeled by a power curve, y = ax ", where a and b are constants. Suppose that the accompanying data on production times for the first ten units produced were collected from a new project at Glasgow Machine Tool. Develop a model for estimating the power curve to minimize the sum of the squared deviations of the errors. Use nonlinear optimization to find the parameters. Click the icon to view the production times data. The model is y = () x(-D (Round to two decimal places as needed.) - X Production Times Data Unit Production Hours 3,211.00 2,720.00 2,615.00 2,278.00 2,028.00 OOVOO AWN 2, 193.00 2,249.00 2,268.00 1,994.00 2,000.00 Print DoneElectroMart wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop and solve a model to find the best location, assuming that straight-line distances can be used between the locations Click the icon to view the table of coordinates and annual number of truckloads. The best location for the warehouse is at X = ] and Y = . (Round to two decimal places as needed.) - X Retail Store Locations and Shipments Retail Store X-Coordinate Y-Coordinate Truckloads 10 20 18 4 18 16 12 24 18 12 Print Done