Question

In addition, assume that the concentrate costs $75 per pound for coke and sprite. The concentrate is used at a rate of 0.20 pound per 100 liters of carbonated water in blending coke and at a rate of 0.15 pound per 100 liters of carbonated water in blending sprite. Assume that two-liter bottles cost $0.04 per bottle and carbonated water costs $0.03 per liter. What is the cost of blending 500 liters of coke?

Answer 1

To calculate the cost of blending 500 liters of coke, we need to consider the cost of the concentrate, bottles, and carbonated water. The total cost of blending 500 liters of coke is $100.

Step-by-step explanation:

To calculate the cost of blending 500 liters of coke, we need to consider the cost of the concentrate, bottles, and carbonated water.

First, let's calculate the cost of the concentrate. The rate of concentrate used in blending coke is 0.20 pounds per 100 liters of carbonated water. So for 500 liters of coke, we would need 0.20 x (500/100) = 1 pound of concentrate. Since the concentrate costs $75 per pound, the cost of the concentrate is $75.

Next, let's calculate the cost of the bottles. Each 2-liter bottle costs $0.04, so for 500 liters of coke, we would need 500/2 = 250 bottles. The cost of the bottles is $0.04 x 250 = $10.

Finally, let's calculate the cost of the carbonated water. The rate of concentrate used in blending coke is 0.03 pounds per liter of carbonated water. So for 500 liters of coke, we would need 0.03 x 500 = 15 pounds of carbonated water. Since carbonated water costs $0.03 per liter, the cost of the carbonated water is $0.03 x 500 = $15.

Therefore, the total cost of blending 500 liters of coke is $75 (concentrate) + $10 (bottles) + $15 (carbonated water) = $100.