All right, let's address the problem part by part.
Given the following question:
Problem:
Two defenders, Defender1 and Defender2, have different shares of their respective costs. Determine the individual cost proportions for the defenders and the total cost.
Solution:
1. Calculate the cost proportion for Defender1:
- Defender1 accounts for 70% of 7 million dollars.
- Calculation:
[tex]\[
\text{Cost for Defender1} = 0.70 \times 7 \text{ million dollars}
\][/tex]
2. Calculate the cost proportion for Defender2:
- Defender2 accounts for 50% of 10 million dollars.
- Calculation:
[tex]\[
\text{Cost for Defender2} = 0.50 \times 10 \text{ million dollars}
\][/tex]
3. Find the total cost by adding the individual proportional costs of Defender1 and Defender2:
- Formula:
[tex]\[
\text{Total Cost} = \text{Cost for Defender1} + \text{Cost for Defender2}
\][/tex]
Using the above steps:
- For Defender1:
[tex]\[
\text{Cost for Defender1} = 4.8999999999999995 \text{ million dollars}
\][/tex]
- For Defender2:
[tex]\[
\text{Cost for Defender2} = 5.0 \text{ million dollars}
\][/tex]
Combining these:
- Total Cost:
[tex]\[
\text{Total Cost} = 4.8999999999999995 + 5.0 = 9.899999999999999 \text{ million dollars}
\][/tex]
Thus, the final costs are:
- Individual cost for Defender1: approximately 4.9 million dollars
- Individual cost for Defender2: exactly 5.0 million dollars
- Total cost: approximately 9.9 million dollars
