Mixture Nuts has 60 pounds of almonds and 90 pounds of peanuts available. These are to

Chapter 4, Problem 51

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Mixture Nuts has 60 pounds of almonds and 90 pounds of peanuts available. These are to be mixed in 1-pound packages as follows: a low-grade mixture that contains 4 ounces of almonds and 12 ounces of peanuts and a high-grade mixture that contains 8 ounces of almonds and 8 ounces of peanuts. (a) Use x to denote the number of packages of the low-grade mixture and use y to denote the number of packages of the high-grade mixture. Write a system of linear inequalities that describes the possible number of each kind of package. (b) Graph the system and list the corner points.

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