MATH
Math 103 (18) Max min Problems.pdf

# Math 103 (18) Max min Problems.pdf - Max Min Problems...

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Max - Min Problems Ex: A man has a stone wall outside a field. He has 1200 m of fencing material and he wishes to make a rectangular pen, using the wall as one side. What should the dimensions be in order to enclose the largest possible area? - Define your variables; draw a picture if possible - Write the eqn of what is to be max/minimized - Reduce to one variable, using the given information, if necessary - Determine the interval where the solution is to be found - Solve Method:

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How many transmissions should be sold for maximum profit? Ex: A business makes automobile transmissions selling for \$400 each. The total cost of marketing x units is Ex: Find the point on the graph of which is nearest the point (2,3).
Ex: At midnight, ship B was 90 miles due south of ship A. Ship A sailed east 15 mph and ship B sailed north at 20 mph. At what time were they closest together? What was this

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