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JuiceTastic produces two types of juice: Mango nectar and Cranberry juice. If it charges price p1 for mango nectar and p2 for cranberry per gallon,

JuiceTastic produces two types of juice: Mango nectar and Cranberry juice. If it charges price p1 for mango nectar and p2 for cranberry per gallon, then it can sell q1 and q2 gallons of mango nectar and cranberry, respectively, where q1 = 75 - 3p1 + 2p2 and q2 = 90 - 2p2 + p1. Producing one gallon of mango nectar costs $5 and one gallon of cranberry juice costs $12. How many gallons of each juice should the company make and how much should it charge so that the company could maximize its profit? please show excel to solve

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