3. The manager of a department store wants to build a 600-square foot right triangular enclosure on the store's parking lot in order to display some equipment (see below). The two legs of the triangular enclosure will be built of redwood fencing, at a cost of $9 per foot. The third side, the hypotenuse, will be built of cement blocks, at a cost of $12 per foot. Find the dimensions of the enclosure that will minimize the total cost of the building materials. h W Let h be the length of one leg, in feet and let w be the length of the other leg, in feet. this optimization problem by answering (a), (b), (c) and (d) but do NOT solve. What is the function that we want to minimize? Express this function in terms of h and w. Set up (a)
3. The manager of a department store wants to build a 600-square foot right triangular enclosure on the store's parking lot in order to display some equipment (see below). The two legs of the triangular enclosure will be built of redwood fencing, at a cost of $9 per foot. The third side, the hypotenuse, will be built of cement blocks, at a cost of $12 per foot. Find the dimensions of the enclosure that will minimize the total cost of the building materials. h W Let h be the length of one leg, in feet and let w be the length of the other leg, in feet. this optimization problem by answering (a), (b), (c) and (d) but do NOT solve. What is the function that we want to minimize? Express this function in terms of h and w. Set up (a)
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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Transcribed Image Text:3.
The manager of a department store wants to build a 600-square foot right triangular
enclosure on the store's parking lot in order to display some equipment (see below). The two legs of
the triangular enclosure will be built of redwood fencing, at a cost of $9 per foot. The third side, the
hypotenuse, will be built of cement blocks, at a cost of $12 per foot. Find the dimensions of the
enclosure that will minimize the total cost of the building materials.
h
W
Let h be the length of one leg, in feet and let w be the length of the other leg, in feet.
this optimization problem by answering (a), (b), (c) and (d) but do NOT solve.
What is the function that we want to minimize? Express this function in terms of h and w.
Set
dn
(a)
Transcribed Image Text:3. continued
(b)
What is the constraint equation? That is, what is the relationship between h and w?
Express the function you want to minimize in terms of only one variable.
Do NOT simplify.
(c)
(d)
What is the domain for the function in part (c)?
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