begin line object12 124 47 124 214 BLACK line object13 125 214 269 214 BLACK text object 276 223 "x1" BLACK text objectCopy 116 42 "x2" BLACK text object19 109 277 "First, let us look at the constraints." BLUE end begin line object20 114 74 279 74 RED line object2 249 73 265 53 RED line object2Copy 172 74 188 54 RED line object2Copy2 153 74 169 54 RED line object2Copy3 136 73 152 53 RED line object2Copy4 227 74 243 54 RED line object2Copy5 208 74 224 54 RED line object2Copy6 190 74 206 54 RED line object2Copy7 119 73 135 53 RED line object2Copy8 272 73 288 53 RED text object21 291 78 "x2" RED text object23 321 78 "3" RED delete object19 text object50 127 276 "Add the mountain bike limit." BLUE line object76 316 67 309 72 RED line object4 309 72 316 78 RED line object4Copy 307 74 314 80 RED delay 3000 end begin line object24 219 221 219 40 ORANGE line object3 220 171 240 187 ORANGE line object3Copy3 219 152 239 168 ORANGE line object3Copy4 220 133 240 149 ORANGE line object3Copy5 220 115 240 131 ORANGE line object3Copy6 220 98 240 114 ORANGE line object3Copy7 220 212 240 228 ORANGE line object3Copy8 219 191 239 207 ORANGE text object25 227 40 "x1" ORANGE line object3Copy13 220 41 240 57 ORANGE line object3Copy14 220 57 240 73 ORANGE line object3Copy15 220 81 240 97 ORANGE text object27 260 39 "2" ORANGE delete object50 text object51 107 275 "" BLUE text object52 111 270 "" BLUE text object53 146 277 "Add the racer limit." BLUE line object77 254 29 246 34 ORANGE line object74 246 34 254 38 ORANGE line object74Copy 244 37 252 41 ORANGE delay 3000 end begin line object28 142 44 289 191 GREEN line object5 233 133 267 135 GREEN line object5Copy 217 118 251 120 GREEN line object5Copy2 202 103 236 105 GREEN line object5Copy3 187 88 221 90 GREEN line object5Copy4 174 74 208 76 GREEN line object5Copy5 161 61 195 63 GREEN line object5Copy6 279 179 313 181 GREEN line object5Copy7 263 163 297 165 GREEN line object5Copy8 249 149 283 151 GREEN text object29 275 150 "x1" GREEN text object30 303 150 "x2" GREEN text object33 339 149 "4" GREEN text object34 291 151 "+" GREEN delete object53 text object58 102 278 "Add the metal finishing machine limit." BLUE line object78 333 140 325 146 GREEN line object75 324 146 333 150 GREEN line object75Copy 323 149 332 153 GREEN delay 3000 end begin line object6 124 183 105 195 BLACK line object6Copy 123 168 104 180 BLACK line object6Copy2 124 150 105 162 BLACK line object6Copy3 124 131 105 143 BLACK line object6Copy4 124 112 105 124 BLACK line object6Copy5 124 94 105 106 BLACK line object6Copy6 154 215 135 227 BLACK line object6Copy7 133 215 114 227 BLACK line object6Copy8 124 199 105 211 BLACK line object6Copy9 218 215 199 227 BLACK line object6Copy10 196 215 177 227 BLACK line object6Copy11 174 215 155 227 BLACK line object6Copy12 259 215 240 227 BLACK line object6Copy13 237 215 218 227 BLACK line object6Copy14 124 78 105 90 BLACK text object7 163 250 "x2" BLACK text object8 193 250 "0" BLACK text object7Copy 118 250 "x1" BLACK text object8Copy 147 249 "0" BLACK line object9 188 244 181 247 BLACK line object10 188 243 180 240 BLACK line object9Copy 189 246 182 249 BLACK line object9Copy2 141 245 134 248 BLACK line object9Copy3 142 247 135 250 BLACK line object10Copy 141 244 133 241 BLACK text object37 156 249 "," BLACK delete object58 text object59 143 278 "Include non-negativity." BLUE delay 2000 end begin text object38 144 140 "FEASIBLE" GRAY text object39 148 155 "REGION" GRAY delete object59 text object60 114 277 "This defines the feasible region." BLUE delay 3000 end begin delete object38 delete object39 delete object60 text object61 93 278 "Now, let us look at the objective function." BLUE line object16 16 54 146 246 CYAN line object17 15 53 146 246 BLUE text object11 273 240 "Z = 15x1 + 10x2" BLUE delay 3000 end begin changeParam object16 color (0,204,204) text object18 43 137 "Z=0" (0,204,204) moveRelative object17 44 -7 end line object65 60 47 195 246 BLUE begin changeParam object17 color (0,204,204) moveRelative object65 38 -13 text object79 81 135 "Z=15" (0,204,204) end begin delete object61 text object62 51 278 "As we increase z, we see the constant-profit line change." BLUE line object80 99 35 233 233 BLUE end begin changeParam object65 color (0,204,204) moveRelative object80 39 -10 text object81 132 136 "Z=30" (0,204,204) end line object82 138 25 273 225 BLUE begin changeParam object80 color (0,204,204) moveRelative object82 47 -1 text object55 176 134 "Z=45" (0,204,204) end text object84 257 122 "Z=60" BLUE begin line object47 150 180 193 137 BLUE line object48 193 137 175 137 BLUE line object49 193 138 193 154 BLUE delete object62 text object63 50 278 "Z increases as the line moves in the upper right direction." BLUE delete object16 delete object18 delete object17 delete object65 delete object79 delete object80 delete object81 delete object84 delete object55 delay 3000 end begin delete object47 delete object48 delete object49 delete object63 text object64 109 278 "So, where is the optimum point?" BLUE line object85 16 56 138 235 BLUE delete object82 delay 3000 end begin moveRelative object85 152 -9 delay 3000 end begin delete object64 text object72 85 277 "The last point the objective function touches," BLUE text object73 60 295 "before leaving the feasible region, has the highest Z value." BLUE line object66 219 115 219 129 BLUE line object67 212 122 225 122 BLUE line object68 214 117 223 127 BLUE line object69 223 116 215 127 BLUE end begin moveRelative object5 -1 0 text object56 185 138 "(2, 2)" BLUE text object57 254 119 "Z = 50" BLUE text object71 110 278 "Therefore, this is the optimum point!" BLUE delete object72 delete object73 delete object66 delete object67 delete object68 delete object69 circle object83 215 118 9 BLACK BLUE delay 4000 end begin delete object71 text object14 36 289 "The demo is complete. To restart, press the Stop button" BLUE text object15 38 308 "then the Start button." BLUE delay 5500 end