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A rectangular field is to be enclosed on 4 sides with a fence with an area...

A rectangular field is to be enclosed on 4 sides with a fence with an area of 690 ft². Fencing costs $2 per foot for 2 opposite sides and $7 per foot for the other 2 sides. The equations for this question are:

Constraint: xy = 690

Objective: Perimeter (Cost) = 14x + 4y

Find the following:

a) The dimensions that will minimize the cost. Round the dimensions to 1 decimal place. You may use the rounded dimension to find the other dimension value.

b) The minimized cost. Place a $ in your answer and round it to 2 decimal places.

Math   Calculus   
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Answer #1

​​​​​​we set f'=0 because when function takes maxima or minima then at that point f'=0

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