Directions Complete the cost analysis for the example below

Directions: Complete the cost analysis for the example below. Show all of your work and label all answers with their units. If you do not do this, no partial credit will be given.

You are feeding your dog Mick’s Dog Food. It costs $12.95 for a 30-pound bag. You

feed a very large dog 3.5 cups of food per day, and each cup weighs 3.5 ounces.

What is the cost per pound?How many ounces are there in a bag?What is the cost per ounce?How many ounces of dog food does the dog eat per day?How many days will the bag last?What is the cost per day?What is the cost per year?

Solution

1. What is the cost per pound?

Ans -

For 30 pounds, cost is $12.95

So, for 1 pound cost = $12.95 / 30

  = $0.4316

= 43.16 cents ($1 = 100 cents )

2. How many ounces are there in a bag?

Ans -

1 pound = 16 ounces

A bag weighs 30 pounds.

So, 30 * 16 = 480

So, 480 ounces are there in a bag.

3. What is the cost per ounce?

Ans -

For 30 pounds, cost is $12.95

So, for 1 pound cost = $12.95 / 30

  = $0.4316

1 pound = 16 ounces

So, for 16 ounces, cost = $0.4316

For 1 ounce, cost = $0.4316 / 16

   = $0.026975

   = 2.6975 cents ($1 = 100 cents )

4. How many ounces of dog food does the dog eat per day?

Ans -

A very large dog eats 3.5 cups of food per day and each cup weighs 3.5 ounces.

So, 3.5 cups weigh 3.5 * 3.5 = 12.25 ounces.

So, the dog eats 12.25 ounces of dog food per day

5. How many days will the bag last?

Ans -

From ans 2, bag weighs 480 ounces and from ans 4, the dog eats 12.25 ounces per day.

So, the bag will last for 480 / 12.25 = 39.18 = 39 days (Approx)

6. What is the cost per day?

Ans -

From ans 3,

For 1 ounce, cost = $0.026975 = 2.6975 cents ($1 = 100 cents )

From ans 4, dog eats 12.25 ounces per day.

So, for 12.25 ounces, cost = 12.25 * $0.026975

  = $ 0.33044375

= 33.044375 cents

So, the cost per day is $ 0.33044375 = 33.044375 cents

7. What is the cost per year?

Ans -

From ans 6, the cost per day is $ 0.33044375

There are 365 days in a year.

So, the cost per year = 365 * $ 0.33044375

= $ 120.612