Using the sample data given in Exhibit $10,$ make a recommendation for how many units of each style Wally Obermeyer should order during the initial phase of the production. Assume that all ten styles in the sample problem are made in Hong Kong, and that Obermeyer$$s initial production commitment must be at least $10,000$ units. $($Ignore price differences among styles in your initial analysis.$)$ Please use mathmatical reasoning when making your decision. Based on the table and deviation of the forecasts, create a model for order quantities for ecah of the ten products where the total order quantity can not exceed $10,000$

Exhibit $10$ Sample Buying Committee Forecasts, $10$ Styles of Women's Parkas

$\backslash$table$[[,$Individual Forecasts,$\backslash$table$[[$Average$],[$Forecast$]],\backslash$table$[[$Standard$],[$Deviation$]],\backslash$table$[[2\backslash$times Std$.|],[$Deviation$]]],[$Style$,$Price $^($a$),$Laura,Carolyn,Greg,Wendy,Tom,Wally,,,$],[$Gail$,$$$110,900,1,000,900,1,300,800,1,200,1,017,194,388],[$Isis$,$$$99,800,700,1,000,1,600,950,1,200,1,042,323,646],[$Entice$,$$$80,1,200,1,600,1,500,1,550,950,1,350,1,358,248,496],[$Assault$,$$$90,2,500,1,900,2,700,2,450,2,800,2,800,2,525,340,680],[$Teri$,$$$123,800,900,1,000,1,100,950,1,850,1,100,381,762],[$Electra$,$$$173,2,500,1,900,1,900,2,800,1,800,2,000,2,150,404,807],[$Stephanie$,$$$133,600,900,1,000,1,100,950,2,125,1,113,524,1,048],[$Seduced$,$$$73,4,600,4,300,3,900,4,000,4,300,3,000,4,017,556,1,113],[$Anita$,$$$93,4,400,3,300,3,500,1,500,4,200,2,875,3,296,1,047,2,094],[$Daphne$,$$$148,1,700,3,500,2,600,2,600,2,300,1,600,2,383,697,1,394],[$Totals$,,20,000,20,000,20,000,20,000,20,000,20,000,20,000,,]]$