Section 4.3 Part 1: Problem 7 PreviousProblem List (1 point A rectangular storag

Question

Section 4.3 Part 1: Problem 7 PreviousProblem List (1 point A rectangular storage container with a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs ss per m2. Material for the sides and lid costs $10 per m2. Find the dimensions of the container which will minimize cost. base width base length - height - minimum cost $ Note: In order to get credit for this problem all answers must be correct. You have attempted this problem 0 times. You have unlimited attempts remaining.

Explanation / Answer

Let the length be l, width be w, and height be h

l = 2w

V=lwh

10=2w2h

h=5/w2

C=5lw +10lw + 10*2 l h + 10* 2wh

C= 10w2+20w2+(200/w) + (100/w)

C= 30w2+(300/w)

C'= 60 w -300/w2

C'=0

w3=5

w=51/3=1.71 m

l =2 w =3.42m

h=5/1.712=1.71m

C=30(1.71)2+(300/1.71)=$263.16

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.