{"id":"aqua_rat:3bf89797285be6da2f874c8e54aabc6e","source_id":"aqua_rat","source_item_id":"3bf89797285be6da2f874c8e54aabc6e","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"A company produces 420 units of a particular computer component every month, at a production cost to the company of $110 per component, and sells all of the components by the end of each month. What is the minimum selling price per component that will guarantee that the yearly profit (revenue from sales minus production costs) will be at least $626,400 ?","stimulus":"","stimulus_html":null,"stem_html":"<p>A company produces 420 units of a particular computer component every month, at a production cost to the company of $110 per component, and sells all of the components by the end of each month. What is the minimum selling price per component that will guarantee that the yearly profit (revenue from sales minus production costs) will be at least $626,400 ?</p>","rationale_html":"<p>450*12(x-110)=626400</p><p>where x is a selling cost of one item</p><p>x-110, is a profit from one item</p><p>450 - number of items produced and sold per month</p><p>12 - is a number of month in a year</p><p>Simplifying the equation will lead to x-110=116, then x = 230</p><p>B</p>","correct_answer":["B"],"equiv_key":"37224217aa199284d5e1bc22","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>226</p>","ord":0},{"label":"B","content_html":"<p>230</p>","ord":1},{"label":"C","content_html":"<p>240</p>","ord":2},{"label":"D","content_html":"<p>260</p>","ord":3},{"label":"E","content_html":"<p>280</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}