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Both estimates are correct and the both coefficients are statistically significant. I am having trouble answering part b and c. Any help is appreciated! I've

Both estimates are correct and the both coefficients are statistically significant. I am having trouble answering part b and c. Any help is appreciated! I've also included the excel spreadsheet info, but I don't believe that is necessary since I've already got my estimates.

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Excel Data:

Output Capital Labor
3563 374 213
4554 360 285
3658 379 213
4107 361 231
3639 438 204
2610 368 216
5497 432 244
4219 400 245
4400 420 231
3812 455 255
4817 370 270
3762 384 206
5579 492 262
5834 374 235
5365 426 264
5153 437 271
4843 436 218
4752 474 274
5492 490 283
4654 404 310
5256 451 262
2960 382 235
7416 498 302
4727 391 233
6702 461 275
5059 377 231
4914 459 298
8769 448 295
3313 412 210
5164 445 235
4925 487 212
4781 447 228
5716 381 272
6983 394 261
5723 446 279
5441 359 207
3446 353 289
3588 401 218
5196 354 255
5171 380 284
4661 482 210
4967 485 284
4122 397 309
4603 438 267
4538 399 219
4615 393 248
4877 401 241
6627 413 267
4035 359 248
4445 424 234
6224 443 294
5384 460 279
5406 416 266
5104 422 307
4990 370 203
4478 493 237
4917 365 302
4735 457 252
2877 432 236
4898 425 274
8642 483 232
5758 438 281
4139 405 202
3559 479 217
3492 438 244
5089 397 216
5177 384 229
5886 395 296
5874 397 297
3760 448 243
5728 373 305
5684 482 247
2825 436 252
5709 411 226
5325 389 306
5325 494 252
3566 416 291
4158 413 263
4226 431 244
5652 424 284
4737 399 204
4401 369 280
6437 466 281
4362 382 288
5779 376 283
4684 371 248
5201 499 201
3508 362 289
4858 356 221
4084 387 237
5197 499 270
5052 464 262
6069 469 304
5492 354 290
3609 420 258
5378 460 239
4863 416 222
6067 398 273
5279 419 286
5037 424 206
6067 430 286
4222 449 309
4967 481 206
5745 385 276
5552 479 284
5324 387 291
4997 356 310
5908 470 302
6020 373 220
4860 433 218
6891 463 292
4874 483 235
4941 394 293
4255 380 258
5564 495 268
8218 410 303
3825 357 263
5508 431 249
3001 391 211
4709 361 283
4547 471 205
3364 486 227
6610 453 266
5345 440 310
4167 363 211
4040 350 310
5265 488 254
5307 449 271
4033 387 244
7577 387 249
4229 473 235
3896 366 240
4959 405 223
4624 367 304
5793 398 269
6634 448 295
3950 360 206
6634 486 225
5629 427 298
5406 446 242
5209 454 290
5536 469 272
4885 499 310
3959 498 226
5414 382 232
5634 380 231
6682 454 284
3935 445 304
4936 440 257
3855 466 230
5417 411 233
5318 467 265
4173 474 237
4200 416 281
5726 477 288
5009 415 213
5914 450 265
4771 439 243
7434 438 248
3903 379 219
3656 428 264
4219 368 243
4241 483 231
7098 376 242
7518 441 282
4456 366 208
3615 363 218
6359 380 231
5295 353 242
6205 437 271
5667 431 298
5760 458 252
4506 385 222
4334 452 283
5363 467 268
5328 384 292
5115 354 261
6509 453 264
5037 455 212
4587 387 295
4801 472 227
4862 376 261
3375 397 251
6037 461 281
5910 375 295
4485 467 256
5417 408 260
3558 458 232
3573 352 247
4758 469 277
5950 373 207
6012 442 292
4960 403 272
5794 449 209
5805 403 291
4443 377 227
4367 362 217
4659 352 275
3944 438 289
4596 470 289
4775 385 225
7635 462 243
8054 483 201
As a member of Analysts Incorporated consulting firm, you have carefully collected data on a manufacturing firm's output, capital and labor. The data are in the spreadsheet below. You believe the firm's production function to be Cobb-Douglas, Q=CaLb. a. Use regression analysis to get estimates for the parameters a and b from the Cobb-Douglas production function. Round your answers to the nearest hundredth. Estimate for a: Estimate for b: Are your estimates statistically significant? b. Suppose capital is fixed at 400 and the price of output is $100. If labor costs $95 per unit, how many units of labor should the firm hire to maximize profits? Round your answer to the nearest whole number. c. If labor costs $75 per unit and capital costs $125 per unit, what is the cost-minimizing input mix for producing 4,000 units of output? Round your answers to the nearest whole number. Labor: Capital

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