Question: How to analyze these computer outputs to answer the below question?? Lingo 19.0 - Lingo Model - Lingo1 File Edit Solver Window Help % 2




How to analyze these computer outputs to answer the below question??


Lingo 19.0 - Lingo Model - Lingo1 File Edit Solver Window Help % 2 Lingo Model - Lingo1 Max A+B+2C+2D ST A+2B+3C+3D=1000 B>=1000 C>=1000 D>=1000 END Global optimal solution found. Objective value: Infeasibilities: Total solver iterations: Elapsed runtime seconds: 10166.67 0.000000 4 8.02 Model Class : LP 4 Total variables: Nonlinear variables: Integer variables: OO Total constraints: Nonlinear constraints: 000 8 0 o Total nonzeros: Nonlinear nonzeros: 20 0 Variable A B D UUA Value 1500.000 1000.000 1000.000 2833.333 Reduced Cost 0.000000 0.000000 0.000000 0.000000 Row 1 2 3m 100 4 5 6 7 8 Slack or Surplus 10166.67 0.000000 3500.000 0.000000 500.0000 0.000000 0.000000 1833.333 Dual Price 1.000000 0.5000000 0.000000 0.1666667 0.000000 -0.3333333 -0.3333333 0.000000 Lingo 19.0 - [Range Report - Lingol] File Edit Solver Window Help 8 X Allowable Decrease 0.3333333 INFINITY INFINITY 0.5000000 UA Ranges in which the basis is unchanged: Objective Coefficient Ranges: Current Allowable Variable Coefficient Increase A 1.000000 1.000000 1.000000 0.3333333 2.000000 0.3333333 2.000000 1.000000 Righthand Side Ranges: Current Allowable Row RHS Increase 2 15000.00 1000.000 20000.00 INFINITY 20000.00 7000.000 5 1000.000 500.0000 1000.000 1750.000 7 1000.000 500.0000 8 1000.000 1833.333 Allowable Decrease 3666.667 3500.000 1000.000 INFINITY 1000.000 1000.000 INFINITY Q2. A printing company Print Tech has designed 4 maps, i.e., A, B, C and D. The map differs in size, colors used, and complexity of the topographical relief. Print Tech has retained a printer to produce the maps. Each map must be printed, cut, and folded. Assume the printer has a limited time in its schedule. The required time (in minutes) to perform print, cut and fold for the maps are given as: Map A B Print 1 2 3 3 15000 Cut 2 4 1 3 20000 Fold 3 2 5 3 20000 No Availability (minutes) The profit per map, based on the projected selling price minus printers cost and other variable cost, is equal to $1 for A and B, respectively, and $2 for C and D, respectively. In order to have a sufficiently nice display, at least 1000 unit of each type must be produced. (b) Utilize the computer output from part (a) to answer the following questions. (1) Determine the production quantities and projected profit. (4 marks) (ii) If map B only contributed $0.5 to profit, find the new optimal solution to the problem. (5 marks) (111 Determine the most that Print Tech should be willing to pay for extra printing, cutting, and folding time