A factory produces 150 units in the first month and the monthly production increases…

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

A factory produces 150 units in the first month and the monthly production increases by 15 units every month thereafter. (i) In which month will the monthly production reach 375 units? (ii) Calculate the total number of units produced up to and including that month. (iii) If the management requires a cumulative production of at least 5000 units, determine the minimum number of months needed to achieve this target.

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