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Soundex produces two models of satellite radios. Model A requires 15 min of work of Assembly Line I and 10 min of work on Assembly line II. Model B requires 10 minutes of work on Assembly Line I and 12 minutes of work on Assembly line II. At most 25 labor-hours of assembly time on Line I and 22 labor hours of assembly time on Line II are available each day. If is anticipated that Soundex will realize a profit of $12 on model A and $10 on model B. How many satellite radios of each model should be produced each day to maximize Soundex's profit? What is the maximum profit?

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