South Dakota School of Mines and Technology



Math 373 Data Adjustment 04_Opt

1. Consider the flow sheet presented below:

[pic]

Find the best flow rate values in each portion of the circuit consistent with the mass balances for this system. Flow rates are given in tons per hour.

A B C D E F G H I

3050 255 2200 1000 2040 395 810 1575 1180

3140 260 2375 1050 2100 410 810 1740 1300

3960 240 2200 990 1960 395 790 1600 1120

3720 230 2700 900 1810 370 720 1300 1060

3200 260 2390 1090 2120 410 830 1179 1300

3203 265 2370 1020 2128 418 820 1159 1320

(These values may be cut and pasted into Excel.)

2. Find the best-fit coefficients A, B, and G to fit an equation of the form

f(x) = A*100*ln(x) + B*sin(x) +D

Search A, B, D space to minimize [pic] using

Find the best coefficients for to fit the below data. Use Solver and MATLAB’s Solve..

|x |y |

|0.15 |-782.42 |

|0.98 |-11.11 |

|1.89 |258.47 |

|2.87 |427.98 |

|3.10 |458.99 |

|3.54 |512.29 |

|3.86 |547.07 |

|4.01 |562.43 |

|4.50 |609.14 |

|5.50 |692.12 |

Copy and paste into Excel and MATLAB. Use an initial guess of 1 for each unknown coefficients.

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