RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry. While RTT produces q¡ pencils for q1 dollars, Sally manufactures q2 pencils with cost of 0.5q2²...

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Extracted text: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry. While RTT produces q¡ pencils for q1 dollars, Sally manufactures q2 pencils with cost of 0.5q2² dollars. It is known that the two companies should totally produce q pencils and the price of each pencil is 200-q dollars in the market. If the two companies collaborate and want to maximize their profits, how many pencils should RTT produce? (Please type your answer into the box below just as a number with a single digit after decimal point.)