Posted by Jenny on .
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