The premium for overnight shipping is 100%. What is the cost to ship 1,800 lbs of goods from Atlanta to Louisville (390 miles) using overnight shipping?
| Distance (miles) | 0-200 | 201-400 | 401-600 | 601-800 | 801-1000 |
| :--------------- | :---- | :------ | :------ | :------ | :------- |
| Price per 100 lbs | $100 | $120 | $200 | $240 | $400 |
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Answer (2)
Calculate the number of 100 lbs units: 100 1800 = 18 .
Find the price per 100 lbs for 390 miles: $120 .
Calculate the base shipping cost: 18 × 120 = $2160 .
Apply the 100% overnight shipping premium: $2160 + $2160 = $4320 .
Explanation
Understanding the Problem We need to calculate the cost to ship 1,800 lbs of goods from Atlanta to Louisville (390 miles) with overnight shipping, which has a 100% premium. First, we determine the base shipping cost without the overnight premium.
Calculating the Number of Units The weight of the goods is 1,800 lbs. We need to find out how many units of 100 lbs are in 1,800 lbs. We can calculate this by dividing the total weight by 100: 100 lbs/unit 1800 lbs = 18 units So, we have 18 units of 100 lbs.
Finding the Price per Unit The distance between Atlanta and Louisville is 390 miles. According to the table, the price per 100 lbs for a distance between 201-400 miles is $120 .
Calculating the Base Cost Now, we calculate the base shipping cost by multiplying the number of units by the price per unit: 18 units × $120 /unit = $2160 So, the base shipping cost is $2160 .
Calculating the Premium The overnight shipping has a 100% premium, which means the premium is equal to the base cost. So, the premium is $2160 .
Calculating the Total Cost Finally, we calculate the total shipping cost by adding the base cost and the premium: $2160 (base cost) + $2160 (premium) = $4320 Therefore, the total cost to ship 1,800 lbs of goods from Atlanta to Louisville using overnight shipping is $4320 .
Final Answer The total cost to ship the goods is $4320 .
Examples
Shipping costs are a common consideration for businesses and individuals alike. Understanding how distance, weight, and shipping options affect the final price is crucial for budgeting and decision-making. For example, a small business owner needs to ship products to customers. By analyzing different shipping options and their associated costs, the owner can choose the most cost-effective method while still meeting customer delivery expectations. This involves calculating base costs based on weight and distance, adding premiums for expedited shipping, and comparing prices from different carriers to optimize shipping expenses.
The total cost to ship 1,800 lbs of goods from Atlanta to Louisville using overnight shipping is $4,320, resulting from a base cost of $2,160 before adding a 100% shipping premium. First, we calculated the number of units at 100 lbs and determined the price per unit for the distance. Finally, we added the base cost and the premium together for the total cost.
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