29:null 2a:["$","title",null,{"children":"Exploitation on a Desert Island | Jeff Jacobs | Observable"}] 2f:T424,columns = (args, borders = false) => { const form = html`` form.value = {} let cols = 0 for (const key in args) { let cur_child = args[key]; console.log(Object.keys(args).length); if (Object.keys(args).length > 1) { cur_child.style = `border: 1px solid; padding: 5px;` } else { cur_child.style = `border: 1px solid; padding: 5px; grid-column:1/span 2; width:96%; padding: 2.5px; justify-content:center; align-text: center; display: flex;` } form.appendChild(cur_child); cols++ } //form.style = `display: grid; grid-gap: 10px 15px; grid-template-columns: repeat(${cols}, auto); grid-auto-flow: dense; width:100%` form.style = `display: grid; grid-gap: 5px 5px; grid-template-columns: repeat(${cols}, 48%); grid-auto-flow: dense; width:100%; height:100%; padding:5px;` form.oninput = () => { form.value = Object.keys(args).reduce((result, key) => { result[key] = args[key].value return result }, Array.isArray(args) ? [] : {}) } form.oninput() return form }30:[] 2d:{"id":"5157e9b572856dd5","slug":"exploitation-on-a-desert-island","title":"Exploitation on a Desert Island","thumbnail":"0e311c103dc4b688d7ddc84923ffd37c1acb35c8f0f657047f378833295b2fce","access_level":"public","create_time":"$D2022-07-25T06:00:47.887Z","update_time":"$D2024-02-07T04:43:02.826Z","view_time":null,"first_public_time":"$D2022-07-26T21:54:53.968Z","has_unpublished_edits":null,"fork":{"id":"a3a6d42371215f77","slug":"cobb-douglas","title":"Cobb-Douglas Returns to Scale","owner":{"id":"38d71e6f34a30993","login":"jpowerj","name":"Jeff Jacobs"}},"stars":1,"starred":false,"owner":{"type":"team","id":"38d71e6f34a30993","login":"jpowerj","name":"Jeff Jacobs","avatar_url":"https://avatars-next.observableusercontent.com/cf34f4139c8c0841a9701629ca7d66e8ddcc88b7623f62f05e243b8980480f1c","tier":"starter_2024"},"version":1962,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"3d6a884a9195123e","login":"jpowerj","name":"Jeff Jacobs","avatar_url":"https://avatars-next.observableusercontent.com/cf34f4139c8c0841a9701629ca7d66e8ddcc88b7623f62f05e243b8980480f1c","tier":null}],"members":[{"type":"individual","id":"3d6a884a9195123e","login":"jpowerj","name":"Jeff Jacobs","avatar_url":"https://avatars-next.observableusercontent.com/cf34f4139c8c0841a9701629ca7d66e8ddcc88b7623f62f05e243b8980480f1c","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":2,"collection":{"id":"30aa05560de3a381","slug":"data-ethics-and-policy","title":"DSAN 5450: Data Ethics and Policy","owner":{"id":"38d71e6f34a30993","login":"jpowerj","name":"Jeff Jacobs"}},"type":"notebook","body":{"title":"Exploitation on a Desert Island","cells":[{"id":0,"value":"# Exploitation on a Desert Island\n\nBased on the binary division-of-labor production model from **[Chapter 4 of John Roemer's *Free to Lose*](https://jjacobs.me/free-to-lose)**.\n\n${tex `A`} represents the **agricultural** sector on the \"island\", while ${tex `I`} represents the **industrial** sector.\n\n${tex `q_s`} represents the **quantity** of corn produced in sector ${tex `s \\in \\{A, I\\}`}, as a function of the inputs ${tex `k_s`} (units of **capital**) and ${tex `\\ell_s`} (units of **labor**) allocated to that sector.","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1778,"value":"viewof instructions = columns({\n col1: md`**Use boxes/sliders below to set parameters ${tex `\\ell_A`}, ${tex `k_A`}, ${tex `\\ell_I`}, ${tex `k_I`}**, where\\n* ${tex`q_A(\\ell_a, k_a) = \\frac{\\ell_a}{3}`}\\n* ${tex`q_I(\\ell_I, k_I) = \\min(\\ell_I, 2k_I)`}`,\n col2: md`The goal:\\n* ${tex`\\text{minimize }\\ell_a + \\ell_i`}\\n* ${tex`\\text{s.t. }\\frac{\\ell_a}{3} + \\min(\\ell_i, 2k_i) \\geq 3`}`\n /*col2: Inputs.form({\n header: md`The goal:`,\n a: ,\n b: \n })*/\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1945,"value":"---","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":516,"value":"viewof inputVals = columns({\n A_in: Inputs.form({\n header: md`### Foraging`,\n slider1: viewof l_A,\n slider2: viewof k_A,\n footer: productionDesc(l_A, k_A, Q.A)\n }),\n I: Inputs.form({\n header: md`### Industry`,\n slider1: viewof l_I,\n slider2: viewof k_I,\n footer: productionDesc(l_I, k_I, Q.I)\n })\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1677,"value":"---","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":1594,"value":"viewof resultTable = Inputs.form({\n prodInputs: columns({\n cResult: centerCell(capUsed),\n lResult: centerCell(laborUsed)\n }),\n prodOutputs: columns({\n b: centerCell(cornProd),\n })\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":582,"value":"viewof param_reset_button = Inputs.button(\"Reset Function Parameters\", {reduce: resetParams});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":901,"value":"

","pinned":false,"hidden":false,"mode":"html","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":473,"value":"## (Imports and Stylesheets Below Here... No need to change anything)","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1220,"value":"K = k_A + k_I","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1218,"value":"L = l_A + l_I","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1531,"value":"function productionDesc(l, k, q) {\n return md`${myRound(l,1)} hrs of labor + ${myRound(k,1)} units corn ${tex`\\rightarrow_A`} ${myRound(q,2)} units corn (gross)`;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1580,"value":"Definition of A:","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":1824,"value":"viewof l_A = Inputs.range([0, 8], {step: 0.5, value:0.0, label: html`${tex`\\ell_A`}: Hours of Labor`})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1830,"value":"viewof k_A = Inputs.range([0,0.5], {step: 0.5, value:0.0, label: html`${tex`k_A`}: Capital Invested`})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1584,"value":"Definition of I:","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":1839,"value":"viewof l_I = Inputs.range([0, 8], {step: 0.5, value:0.0, label: html`${tex`\\ell_I`}: Hours of Labor`})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1841,"value":"viewof k_I = Inputs.range([0,0.5], {step: 0.5, value:0.0, label: html`${tex`k_I`}: Capital Invested`})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1588,"value":"Definition of Q:","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":1223,"value":"Q = ({\n A: l_A / 3,\n I: Math.min(2*l_I, 2*k_I),\n total() {\n return this.A + this.I;\n }\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1683,"value":"capUsed:","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":1604,"value":"capUsed = md`${myRound(K)} / 0.5 ${K <= 0.5 ? `✅ capital constraint satisfied`: `❌ capital constraint exceeded!`}`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1746,"value":"laborUsed:","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":1599,"value":"laborUsed = md`Total labor hours: ${myRound(L)} / 16 ${L <= 2 ? `✅ labor time minimized`: `❌ More labor than necessary!`}`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1710,"value":"cornProd:","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":1590,"value":"cornProd = md`Corn produced: ${myRound(Q.total())} / 1.5 ${Q.total() >= 1.5 ? `✅ subsistence requirement met`: `❌ subsistence not met!`}`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":507,"value":"### (Button/slider handlers)","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1815,"value":"function resetParams() {\n set(viewof l_A, 0);\n set(viewof k_A, 0);\n set(viewof l_I, 0);\n set(viewof k_I, 0);\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":596,"value":"### (Helper fns)","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1416,"value":"$2f","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1652,"value":"function centerCell(orig_cell) {\n return html`

${orig_cell}

`;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":1326,"value":"function myRound(orig_num, num_decimals) {\n return orig_num.toLocaleString(undefined, {maximumFractionDigits: num_decimals, minimumFractionDigits: num_decimals})\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":875,"value":"$$ = require(\"jquery\");","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":600,"value":"function set(input, value) {\n input.value = value;\n input.dispatchEvent(new Event(\"input\"));\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W30","stdlib":"1","titling":"auto"}} 2e:"$2d:body"