A coffee merchant sells two blends of coffee. Each pound of blend A contains 80%

Question

A coffee merchant sells two blends of coffee. Each pound of blend A contains 80% Mocha Java and 20% Jamaican and sells for $2 a pound. Each pound of blend B contains 35% Mocha Java and 65% Jamaican and sells for $2.25 a pound. The merchant will try to sell the amount of each blend that maximizes her income. Let X be the number of pounds of blend A and Y be the number of pounds of blend B.

In the situation above, the objective function is
A.) 1000x + 600y B.) 0.80x + .20y C.) 2x + 2.25y D.) 2.25x + 2y

Since the merchant above has available 1000 pounds of Mocha Java, one constraint that must be satisfied is:
A.) 0.35x+0.65y >= 1000 B.) .08x + 0.35y <= 1000 C). .8x + .035y >= 1000
D.) 0.8x+0.2y <= 1000

Since the merchant above has available 600 pounds of Jamaican, one constraint that must be satisfied is:
A.) 0.35x+0.65y >= 600 B.) 0.2x+.65y <= 600 C.) 0.35x + .065y <= 600
D.) 0.2x + 0.65y >= 600

Explanation / Answer

In the situation above, the objective function is
C.) 2x + 2.25y

Since the merchant above has available 1000 pounds of Mocha Java, one constraint that must be satisfied is:
B.) .08x + 0.35y <= 1000

Since the merchant above has available 600 pounds of Jamaican, one constraint that must be satisfied is:
C.) 0.35x + .065y <= 600

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