Posted by **Jenny** on Saturday, November 24, 2012 at 3:06pm.

A merchant makes two raisin nut mixtures.

Each box of mixture A contains 9 ounces of peanuts and 2 ounces of raisins, and sells for $2.80. Each box of mixture B contains 12 ounces of peanuts and 4 ounces of raisins, and sells for $4.00. The company has available 5,000 ounces of peanuts and 1,800 ounces of raisins. The merchant will try to sell the amount of each mixture that maximizes income.

Let x be the number of boxes of mixture A and let y be the number of boxes of mixture B.

1) State the objective function.

A. 5,000x + 1,800y

B. 9x + 2y

C. 9x + 12y

D. 2.8x + 4y

2. Since the merchant has 1,800 ounces of raisins available, one inequality that must be satisfied is:

A. 2x + 4y ¡Ü 1,800

B. 2.8x + 4y ¡Ü 1,800

C. 4x + 2y ¡Ý 1,800

D. 9x + 2y ¡Ü 1,800

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