Answer to Question #198820 in Calculus for talha malick

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Answer to Question #198820 in Calculus for talha malick

Question #198820

A small rectangular warehouse is to be constructed which is to have an area of 10000 square feet. The building is to be partitioning internally in to eight equal parts. The costs have been estimated based on exterior and interior walls dimensions. The costs are $300 per running foot of exterior wall and plus $1100 per running foot of interior wall. a) Determine the dimensions which will minimizes the construction costs? b) What are the minimum cost

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Dimensions minimizing the total cost <div class="task task-question task-card selected task-w-offer task-w-my" style="width: 320px; height: 149.156px;"><div class="task-header"><div class="task-category d-flex align-items-baseline"><div class="dp-tooltip"><h3 style="width: 112px;">Financial Math</h3></div><small><span class="dp-tooltip"></span></small><div class="task-id ml-auto"><span class="dp-tooltip">Q198820</span></div></div><div class="d-flex justify-content-between"><span class="dp-tooltip"><div class="task-deadline"><span class="svg-icon" style="width: 15px;"><svg viewBox="0 0 465.2 465.2"><use xlink:href="#timeleft"></use></svg></span> Deadline passed</div></span><span class="btn-favorite-mob"></span></div></div><div class="task-text"><div class="editor-text"><p>A small rectangular warehouse is to be constructed which is to have an area of 10000 square feet. The building is to be partitioning internally in to eight equal parts. The costs have been estimated based on exterior and interior walls dimensions. The costs are $300 per running foot of exterior wall and plus $1100 per running foot of interior wall. a) Determine the dimensions which will minimizes the construction costs? b) What are the minimum cost</p></div></div><div class=""><div class="task-offer-list"><span class="task-offer-list-text">Needs fixes</span><span class="task-offer-list-price"><span style="font-weight: bolder; font-size: 1.1rem; line-height: 16px; color: rgb(71, 199, 113); margin-left: 1rem;">$1</span></span></div></div></div>Archive

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Financial Math

Q198820

Deadline: 26.05.21, 18:49

A small rectangular warehouse is to be constructed which is to have an area of 10000 square feet. The building is to be partitioning internally in to eight equal parts. The costs have been estimated based on exterior and interior walls dimensions. The costs are $300 per running foot of exterior wall and plus $1100 per running foot of interior wall. a) Determine the dimensions which will minimizes the construction costs? b) What are the minimum cost

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A) Determine the diamensions which will minimizes the construction costs

B) what are the minimum cost

1) the goal in this task is to determine the formular contractor cost's expressed in the term of unknown for width or length of the floor on rectangular floor, let's length be X and width be ($1100+$300) gives $1400

2) formular for the area is XY so substitute given area and expressed width in terms of length

3) $300= XY=====>Y = (300/X)

4) Interior wall: length is X and total cost is $1100X

Exterior wall: Length is the perimeter of rectangular floor====> P= 2(X+Y) and total cost is $300(X+Y)

B)The Contractor's cost C= (1100+300X+10000Y)

C = 475X + 350(300/X) substitute Y

C = 475X+ 1300000/X