To determine the cost to ship 2,000 lbs of goods from Houston to Tulsa, which is 500 miles, using same-day shipping with a premium of 200%, we'll follow these steps:
1. Identify the applicable shipping rate:
- According to the given table, the pricing for 500 miles falls under the range of 401-600 miles.
- The price per 100 lbs for this distance is \[tex]$200.
2. Calculate the base cost:
- First, convert the weight of 2,000 lbs to units of 100 lbs.
\[
\text{Weight in units of 100 lbs} = \frac{2000 \, \text{lbs}}{100} = 20 \, \text{units}
\]
- Next, calculate the base cost by multiplying the number of 100 lbs units by the price per 100 lbs.
\[
\text{Base cost} = 20 \, \text{units} \times \$[/tex]200 = \[tex]$4000
\]
3. Calculate the premium cost:
- The premium is 200%, which means it is twice the base cost.
\[
\text{Premium cost} = 200\% \times \$[/tex]4000 = 2 \times \[tex]$4000 = \$[/tex]8000
\]
4. Calculate the total cost:
- Add the base cost and the premium cost to get the total cost.
[tex]\[
\text{Total cost} = \$4000 + \$8000 = \$12000
\][/tex]
Therefore, the total cost to ship 2,000 lbs of goods from Houston to Tulsa (500 miles) using same-day shipping is \$12,000.
