5. You are framing a door, in the shape of a rectangle with a semicircle on top (see picture; there is no framing along the dotted line). The rectangle has width r and height y. You plan to use 20 feet of framing. The cost of framing for the straight edges is $2 per foot. The cost of framing for the circular edge is $5 per foot. Write the constraint equation and the objective function for the optimiza- tion problem of finding the minimum cost, using the variables r and which is the objective and which is the constraint. You do not meed to find the minimum cost. y. Mark Reminder: A full circle of radius r has circumference 27r. The radius of a circle is 1/2 of the diameter. You should show some work for this problem.

5. You are framing a door, in the shape of a rectangle with a semicircle on top (see picture; there is no framing along the dotted line). The rectangle has width r and height y. You plan to use 20 feet of framing. The cost of framing for the straight edges is $2 per foot. The cost of framing for the circular edge is $5 per foot. Write the constraint equation and the objective function for the optimiza- tion problem of finding the minimum cost, using the variables r and which is the objective and which is the constraint. You do not meed to find the minimum cost. y. Mark Reminder: A full circle of radius r has circumference 27r. The radius of a circle is 1/2 of the diameter. You should show some work for this problem.

Name: 5.You are framing a door, in the shape of a rectangle witha semicircl
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Description: 5.You are framing a door, in the shape of a rectangle witha semicircle on top (see picture; there is no framing along the dottedline). The rectangle has width r and height y. You plan to use 20 feet offraming. The cost of framing for the straight ed

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Topic Video

Question

5.
You are framing a door, in the shape of a rectangle with
a semicircle on top (see picture; there is no framing along the dotted
line). The rectangle has width r and height y. You plan to use 20 feet of
framing. The cost of framing for the straight edges is $2 per foot. The cost
of framing for the circular edge is $5 per foot.
Write the constraint equation and the objective function for the optimiza-
tion problem of finding the minimum cost, using the variables r and y. Mark
which is the objective and which is the constraint. You do not need to
find the minimum cost.
Reminder: A full circle of radius r has circumference 2nr. The radius of a
circle is 1/2 of the diameter. You should show some work for this problem.

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