A dog-food company makes a special kind of dog food. It consists of 30% meat powder and 70% grain. The meat powder costs 90 cents per pound. The grain costs 60 cents per pound. What is the cost of the raw materials per pound of dog food

To find the cost of the raw materials per pound of dog food, we need to calculate the weighted average price.

Let's assume we have 1 pound of dog food.

30% of 1 pound is 0.3 pounds, which is the amount of meat powder.

70% of 1 pound is 0.7 pounds, which is the amount of grain.

The cost of the meat powder per pound is 90 cents, and the cost of the grain per pound is 60 cents.

To find the total cost of the raw materials per pound, we multiply the weight of each ingredient by its respective cost and then sum them up.

Cost of meat powder per pound = 0.3 pounds * $0.90/pound = $0.27
Cost of grain per pound = 0.7 pounds * $0.60/pound = $0.42

Total cost of raw materials per pound of dog food = $0.27 + $0.42 = $0.69

Therefore, the cost of the raw materials per pound of dog food is $0.69.

To find the cost of the raw materials per pound of dog food, we need to calculate the weighted average cost of the meat powder and the grain.

Given that the dog food consists of 30% meat powder and 70% grain, we can calculate the cost using the following formula:

Cost per pound = (Cost of meat powder per pound * Percentage of meat powder) + (Cost of grain per pound * Percentage of grain)

Let's plug in the values:

Cost per pound = (0.90 * 0.30) + (0.60 * 0.70)
Cost per pound = 0.27 + 0.42
Cost per pound = 0.69

Therefore, the cost of the raw materials per pound of dog food is 69 cents.