Let's break down the problem step-by-step to find the cost of shipping 2,200 pounds of goods over a distance of 660 miles using same-day shipping with a premium of 200%.
1. Determine the weight and distance:
- Weight of goods: 2,200 lbs
- Distance: 660 miles
2. Find the applicable price per 100 lbs based on the distance:
- For a distance of 601 to 800 miles, the price per 100 lbs is [tex]$240.
3. Calculate the base cost before the same-day shipping premium:
- Weight in units of 100 lbs: \( \frac{2200}{100} = 22 \) units
- Base cost: \( 22 \, \text{units} \times 240 \, \text{\$[/tex] per 100 lbs} = 5280 \, \text{\[tex]$} \)
4. Apply the same-day shipping premium of 200%:
- Premium percentage: 200% = 2.0 (as a decimal)
- Total cost with premium: \( 5280 \, \text{\$[/tex]} \times (1 + 2.0) = 5280 \, \text{\[tex]$} \times 3 = 15840 \, \text{\$[/tex]} \)
Therefore, the cost to ship 2,200 lbs of goods from Dallas to Nashville (660 miles) using same-day shipping with a 200% premium is \$15,840.
