ENGR-25_HW-01_Solution.ppt 1 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Bruce Mayer, PE Licensed Electrical & Mechanical Engineer ENGR 25 Prob 2.20 Round-End Fenced Enclosure

ENGR-25_HW-01_Solution.ppt 2 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Given Fenced Enclosure  Given Parameters Total Enclosed Area = 1600 Square Feet (1600 ft 2 ) Fence Costs in $/Lineal-Ft –Straight = 30 –Curved = 40  Determine Lo-Cost R & L

ENGR-25_HW-01_Solution.ppt 3 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Given Fenced Enclosure  Game Plan Solve for COST FUNCTION f(R) Solve by BOTH of –Hand Calculus  Develop Cost Function –Use min command on Cost Vector  Will hunt-down LoCost & Address

ENGR-25_HW-01_Solution.ppt 4 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Check Extremes

ENGR-25_HW-01_Solution.ppt 5 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Check Extremes  The Cost at Maximum R  Use the Extremes to Set the Plotting Range

ENGR-25_HW-01_Solution.ppt 6 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

ENGR-25_HW-01_Solution.ppt 7 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

ENGR-25_HW-01_Solution.ppt 8 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

ENGR-25_HW-01_Solution.ppt 9 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

ENGR-25_HW-01_Solution.ppt 10 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods.m File Script

ENGR-25_HW-01_Solution.ppt 11 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Answer Graphically

ENGR-25_HW-01_Solution.ppt 12 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods L vs R Plot (for Fun)

ENGR-25_HW-01_Solution.ppt 13 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

ENGR-25_HW-01_Solution.ppt 14 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

ENGR-25_HW-01_Solution.ppt 15 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

ENGR-25_HW-01_Solution.ppt 16 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods 2-20

ENGR-25_HW-01_Solution.ppt 17 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

ENGR-25_HW-01_Solution.ppt 18 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods