1. (15 marks) Given the following linear programming model and the Excel Solver outputs, answer the questions that follow: Let x1 = the quantity of economy widgets to make Let x2 = the quantity of standard widgets to make Let x3 = the quantity of deluxe widgets to make Maximize profit = 6 x + 10 x2 + 12 x3 Subject to Machine time: 1 X + 2 x2 + 3 x 5 80 hours Labour: 3 X1 + 2 x2 + 4 x3 s 120 hours Material: 6 x2 + 10 x3 s 280 sprockets Storage space: 2 X1 + 2 x2 + 3x3 s 90 c. feet X1, X2 and x3 20 Microsoft Excel 10.0 Answer Report Target Cell (Max) Cell Name $F$8 Profit Total Profit Original Value Final Value 410 Adjustable Cells Cell Name $C$6 Economy X1 $D$6 Standard X2 $E$6 Deluxe X3 Original Value 0 0 0 Final Value 10 35 0 Constraints Cell $F$11 Name Machine Time Actual Usage Slack 0 $F$12 Labour Actual Usage Cell Value Formula Status 80 $F$11