Applied Technology, Inc. (ATI), produces bicycle frames using two fiberglass materials that improve the strength-to-weight ratio of the frames. The cost of standard grade material is $7.50 per yard and the cost of professional grade material is $9.00 per yard. The standard and professional grade materials contain different amounts of fiberglass, carbon fiber, and Kevlar as shown in the following table: Material Standard Grade Professional Grade Fiberglass 84% 58% Carbon fiber 10% 30% Kevlar 6% 12% ATI signed a contract with a bicycle manufacturer to produce new frames with a carbon fiber content of at least 20% and a Kevlar
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