Question Solved1 Answer After spending the day packing merchandise into boxes for a makers convention, Jaime is ready to pack up their rental van and make the drive to the next town over. Jaime wants the unloading of the van to go as smoothly as possible so they can maximize their time selling items at the convention. To achieve this they plan to put items in their van arranged

IIHGUQ The Asker · Advanced Mathematics

After spending the day packing merchandise into boxes for a makers convention, Jaime is ready to pack up their rental van and make the drive to the next town over. Jaime wants the unloading of the van to go as smoothly as possible so they can maximize their time selling items at the convention. To achieve this they plan to put items in their van arranged from largest to smallest back to front, in cases where items are the same size, Jaime plans to order them via weight, with heavier objects placed before lighter ones.




 

The boxed merchandise that Jaime plans to bring with them is as follows:

An 96 x 30 inch plastic table weighing 4.5 kilograms

An 16 x 12 x 12 inch box with 9 Dresses weighing 0.5 kilograms each

An 18 x 16 x 18 inch box with 35 pairs of Socks weighing 60 grams each sock

An 18 x 16 x 18 inch box with 18 T-Shirts weighing 85 grams each

A 30 x 96 inch metal table weighing 8.2 kilograms

An 16 x 12 x 12 inch box with 14 Hats weighing 150 grams each

An 18 x 18 x 24 inch box with 6 Jackets weighing 2 kilograms each

An 16 x 12 x 12 inch box with 12 Scarfs weighing 0.3 kilograms each

 

In what order should Jaime pack their merchandise starting from the back of the van to the front?

 

options

 

In what order should Jaime pack their merchandise starting from the back of the van to the front?

Plastic Table, Metal Table, Jackets, Dresses, T-Shirts, Socks, Hats, Scarfs

Metal Table, Jackets, Plastic Table, Dresses, T-Shirts, Scarfs, Hats, Socks

Hats, Scarfs, Socks, T-Shirts, Jackets, Dresses, Plastic Table, Metal Table

Metal Table, Plastic Table, Jackets, Socks, T-Shirts, Dresses, Scarfs, Hats

 

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Step1/3mjx-container[jax="CHTML"]{line-height: 0;}mjx-assistive-mml{position: absolute !important; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); padding: 1px 0px 0px 0px !important; border: 0px !important; display: block !important; width: auto !important; overflow: hidden !important; -webkit-touch-callout: none; -webkit-user-select: none; -khtml-user-select: none; -moz-user-select: none; -ms-user-select: none; user-select: none;}mjx-math{display: inline-block; text-align: left; line-height: 0; text-indent: 0; font-style: normal; font-weight: normal; font-size: 100%; font-size-adjust: none; letter-spacing: normal; border-collapse: collapse; word-wrap: normal; word-spacing: normal; white-space: nowrap; direction: ltr; padding: 1px 0;}mjx-mn{display: inline-block; text-align: left;}mjx-c{display: inline-block;}mjx-mi{display: inline-block; text-align: left;}mjx-c::before{display: block; width: 0;}.MJX-TEX{font-family: MJXZERO, MJXTEX;}@font-face{font-family: MJXZERO; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Zero.woff") format("woff");}@font-face{font-family: MJXTEX; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Regular.woff") format("woff");}mjx-c.mjx-c39::before{padding: 0.666em 0.5em 0.022em 0; content: "9";}mjx-c.mjx-c36::before{padding: 0.666em 0.5em 0.022em 0; content: "6";}mjx-c.mjx-c78::before{padding: 0.431em 0.528em 0 0; content: "x";}mjx-c.mjx-c33::before{padding: 0.665em 0.5em 0.022em 0; content: "3";}mjx-c.mjx-c30::before{padding: 0.666em 0.5em 0.022em 0; content: "0";}mjx-c.mjx-c34::before{padding: 0.677em 0.5em 0 0; content: "4";}mjx-c.mjx-c2E::before{padding: 0.12em 0.278em 0 0; content: ".";}mjx-c.mjx-c35::before{padding: 0.666em 0.5em 0.022em 0; content: "5";}mjx-c.mjx-c31::before{padding: 0.666em 0.5em 0 0; content: "1";}mjx-c.mjx-c32::before{padding: 0.666em 0.5em 0 0; content: "2";}mjx-c.mjx-c38::before{padding: 0.666em 0.5em 0.022em 0; content: "8";}Given that,An 96x30 inch plastic table weighing 4.5Kg,An 30x96inch metal table weighing 8.2 Kg,An 16x12x12inch box with 9 Dresses weighing 0.5Kg each,An 18x16x18inch box with 35 pairs of Socks weighing 60 grams each sock,An 18x16x18inch box with 18 T-Shirts weighing 85 grams each,An 16x12x12inch box with 14 Hats weighing 150 grams each,An 18x18x24inch box with 6 Jackets weighing 2 Kg each,An 16x12x12inch box with 12 Scarfs weighing 0.3 Kg each,Here we have to arrange the boxes for Jaime in order of their size and weight in a van from back to the front.Explanation:Please refer to solution in this step.Step2/3mjx-container[jax="CHTML"]{line-height: 0;}mjx-container [space="3"]{margin-left: .222em;}mjx-container [space="4"]{margin-left: .278em;}mjx-container [size="s"]{font-size: 70.7%;}mjx-row{display: table-row;}mjx-row > *{display: table-cell;}mjx-assistive-mml{position: absolute !important; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); padding: 1px 0px 0px 0px !important; border: 0px !important; display: block !important; width: auto !important; overflow: hidden !important; -webkit-touch-callout: none; -webkit-user-select: none; -khtml-user-select: none; -moz-user-select: none; -ms-user-select: none; user-select: none;}mjx-math{display: inline-block; text-align: left; line-height: 0; text-indent: 0; font-style: normal; font-weight: normal; font-size: 100%; font-size-adjust: none; letter-spacing: normal; border-collapse: collapse; word-wrap: normal; word-spacing: normal; white-space: nowrap; direction: ltr; padding: 1px 0;}mjx-mo{display: inline-block; text-align: left;}mjx-c{display: inline-block;}mjx-mn{display: inline-block; text-align: left;}mjx-mfrac{display: inline-block; text-align: left;}mjx-frac{display: inline-block; vertical-align: 0.17em; padding: 0 .22em;}mjx-dtable{display: inline-table; width: 100%;}mjx-dtable > *{font-size: 2000%;}mjx-dbox{display: block; font-size: 5%;}mjx-num{display: block; text-align: center;}mjx-den{display: block; text-align: center;}mjx-nstrut{display: inline-block; height: .054em; width: 0; vertical-align: -.054em;}mjx-dstrut{display: inline-block; height: .505em; width: 0;}mjx-line{display: block; box-sizing: border-box; min-height: 1px; height: .06em; border-top: .06em solid; margin: .06em -.1em; overflow: hidden;}mjx-c::before{display: block; width: 0;}.MJX-TEX{font-family: MJXZERO, MJXTEX;}@font-face{font-family: MJXZERO; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Zero.woff") format("woff");}@font-face{font-family: MJXTEX; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Regular.woff") format("woff");}mjx-c.mjx-c3D::before{padding: 0.583em 0.778em 0.082em 0; content: "=";}mjx-c.mjx-c34::before{padding: 0.677em 0.5em 0 0; content: "4";}mjx-c.mjx-c2E::before{padding: 0.12em 0.278em 0 0; content: ".";}mjx-c.mjx-c35::before{padding: 0.666em 0.5em 0.022em 0; content: "5";}mjx-c.mjx-c38::before{padding: 0.666em 0.5em 0.022em 0; content: "8";}mjx-c.mjx-c32::before{padding: 0.666em 0.5em 0 0; content: "2";}mjx-c.mjx-c36::before{padding: 0.666em 0.5em 0.022em 0; content: "6";}mjx-c.mjx-cD7::before{padding: 0.491em 0.778em 0 0; content: "\D7";}mjx-c.mjx-c31::before{padding: 0.666em 0.5em 0 0; content: "1";}mjx-c.mjx-c33::before{padding: 0.665em 0.5em 0.022em 0; content: "3";}mjx-c.mjx-c30::before{padding: 0.666em 0.5em 0.022em 0; content: "0";}mjx-c.mjx-c2C::before{padding: 0.121em 0.278em 0.194em 0; content: ",";}mjx-c.mjx-c39::before{padding: 0.666em 0.5em 0.022em 0; content: "9";}Weight of plastic table=4.5Kg,Weight of metal table=8.2Kg,Weight of Jackets=6×2=12Kg,Weight of socks=35×601,000=2,1001,000=2.1Kg,Weight of T-shirts=18×851,000=1.53Kg,Weight of dresses=9×0.5=4.5Kg,Weight of scarfs=12×0.3=3.6Kg,Weight of Hats=14×1501,000=2.1Kg, Explanation:Please refer to solution in this step.Step3/3mjx-container[jax="CHTML"]{line-height: 0;}mjx-container [space="3"]{margin-left: .222em;}mjx-assistive-mml{position: absolute !important; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); padding: 1px 0px 0px 0px !important; border: 0px !important; display: block !important; width: auto !important; overflow: hidden !important; -webkit-touch-callout: none; -webkit-user-select: none; -khtml-user-select: none; -moz-user-select: none; -ms-user-select: none; user-select: none;}mjx-math{display: inline-block; text-align: left; line-height: 0; text-indent: 0; font-style: normal; font-weight: normal; font-size: 100%; font-size-adjust: none; letter-spacing: normal; border-collapse: collapse; word-wrap: normal; word-spacing: normal; white-space: nowrap; direction: ltr; padding: 1px 0;}mjx-mn{display: inline-block; text-align: left;}mjx-c{display: inline-block;}mjx-mo{display: inline-block; text-align: left;}mjx-c::before{display: block; width: 0;}.MJX-TEX{font-family: MJXZERO, MJXTEX;}@font-face{font-family: MJXZERO; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Zero.woff") format("woff");}@font-face{font-family: MJXTEX; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Regular.woff") format("woff");}mjx-c.mjx-c31::before{padding: 0.666em 0.5em 0 0; content: "1";}mjx-c.mjx-c38::before{padding: 0.666em 0.5em 0.022em 0; content: "8";}mjx-c.mjx-cD7::before{padding: 0.491em 0.778em 0 0; content: "\D7";}mjx-c.mjx-c36::before{padding: 0.666em 0.5em 0.022em 0; content: "6";}mjx-c.mjx-c32::before{padding: 0.666em 0.5em 0 0; content: "2";}As we want to arrange the boxes according to their weights and the length of boxes then (a). Metal Table and plastic table are placed at last due to their heavy weight.(b). Boxes win same size18×16×18 inch boxes must be arranged according to their weights. So Jackets placed first , then Socks are placed and then T-shirts are placed.(c). Boxes with size 16×12×12 inch boxes are arranged when according to their weights then Dresses box placed first then scarfs and in front of van Hat box is placed.So the final arrangement of the boxes is as follows,Metal Table, Plastic table, Jackets, Socks, T-shirts, Dresses, Scarfs, Hats.Explanation:mjx-container[jax="CHTML"] { line-height: 0;}mjx-container [space="1"] { margin-left: .111em;}mjx-container [space="2"] { margin-left: .167em;}mjx-container [space="3"] { margin-left: .222em;}mjx-container [space="4"] { margin-left: .278em;}mjx-container [space="5"] { margin-left: .333em;}mjx-container [rspace="1"] { margin-right: .111em;}mjx-container [rspace="2"] { margin-right: .167em;}mjx-container [rspace="3"] { margin-right: .222em;}mjx-container [rspace="4"] { margin-right: .278em;}mjx-container [rspace="5"] { margin-right: .333em;}mjx-container [size="s"] { font-size: 70.7%;}mjx-container [size="ss"] { font-size: 50%;}mjx-container [size="Tn"] { font-si ... See the full answer