Maths Olympiad Prep

Track / Stage 4 / 106 of 340 #366 of 1964

Problem 366

AMC 12 late, AIME early
Algebra Difficulty 4.7 Multiple choice

A certain product is divided into 10 quality levels. Producing the lowest level product yields a profit of 8 yuan per piece, and for each level increase, the profit per piece increases by 2 yuan. Using the same working hours, the lowest level product can produce 60 pieces per day, and for each level increase, the production decreases by 3 pieces. If the product that yields the maximum profit is the kk-th level (the lowest level is the first level, and the levels increase with quality), then, kk equals:

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Official solution

(Answer: (C))

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.