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January 30, 2015

January 30, 2015

Posted by **Shannon** on Sunday, April 3, 2011 at 3:56pm.

1. Write a function for the cost of a box based on the length of the base.

2. Graph your cost function.

3. What should the dimensions of the box be in order to minimize the cost?

4. How much will it cost to make the 20,000 boxes?

5. If the company wants to make 15% what should they bid?

- calculus -
**bobpursley**, Sunday, April 3, 2011 at 4:11pmWhich step are you having difficulty with?Doing them in sequence should give you all you need.

- calculus -
**Shannon**, Sunday, April 3, 2011 at 4:27pmI am having difficulty coming up with the right function. The rest should fall into place, I know.

- calculus -
**bobpursley**, Sunday, April 3, 2011 at 4:58pmarea = 2 ends + 2 sides +extra bottom+ bottom+ edge+top this assumes top,two bottoms, and four sides. I assume the four edges mentioned are the three bottom edges, and one side edge.

cost=area*cost/srea= 2*h*w*.15+ 2*h*l*.15+ l*w*.15+l*w*.12+ w*l*.15 +.10(2w+h+l+w)

simplify that into a function of l,w,h

Then volume=5=lwh and you can solve h=5/lw

check carefully the area and cost function. A sketch of the box might help. I assume the bottom was hinged on one side, taped on three sides, then tape on one height side, and finally, tape for a folding lid. Weird box.

- calculus -
**bobpursley**, Sunday, April 3, 2011 at 5:02pmremember it is square, so w=l

- calculus -
**Shannon**, Sunday, April 3, 2011 at 9:06pmThat is what I came up with for my function. It just didn't seem to work out right when I went to solve. I will have to go back and check my math. Thank you for your help!!!

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