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Company ABC makes 2 models of door handles, plain and decorative, each of which must be assembled and packaged. The plain handles require 12 minutes to assemble and 2 minutes to package, while the decorative handles require 18 minutes to assemble but only one minute to package. Each week there are 240 available hours of assembly time and 20 available hours for packaging. If the plain handles sell for $2.20 and the decorative handles sell for $3.50, how many of each type should be made to obtain the maximum weekly income? What is the maximum weekly income?
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