If during the following year it is predicted that each comedy skit will generate $30 thousand and each musical number $20 thousand, find the maximum income for the year.
A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs $3000, and brings in $20,000 from the show's sponsors. Each musical number requires 1 hour of rehearsal time, costs $6000, and generates $12,000. If 250 hours are available for rehearsal and $600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
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