To determine the cost to ship 2,000 lbs of goods from Chicago to Atlanta (which is 700 miles) using the 3-5 day shipping option, we need to follow several steps based on the provided rates and premium percentage. Here is the step-by-step solution:
1. Determine the base cost per 100 lbs for the given distance (700 miles):
- According to the rate table, for distances between 601 and 800 miles, the base cost is \[tex]$400 per 100 lbs.
2. Calculate the base cost of shipping 2,000 lbs:
- First, convert the total weight from lbs to units of 100 lbs:
\[
\text{Weight (in units of 100 lbs)} = \frac{2000 \text{ lbs}}{100} = 20 \text{ units of 100 lbs}
\]
- Then multiply the number of units by the base cost per 100 lbs:
\[
\text{Base total cost} = 20 \times 400 = 8000 \text{ dollars}
\]
3. Calculate the premium cost for 3-5 day shipping, which is 20%:
- Find 20% of the base total cost:
\[
\text{Premium cost} = 8000 \times \frac{20}{100} = 1600 \text{ dollars}
\]
4. Calculate the total cost:
- Add the base total cost and the premium cost:
\[
\text{Total cost} = 8000 + 1600 = 9600 \text{ dollars}
\]
Thus, the cost to ship 2,000 lbs of goods from Chicago to Atlanta (700 miles) using 3-5 day shipping is \$[/tex]9,600.
