Final answer:
The design factor for a wire rope sling with a strength of 10000 pounds and a total working load of 2000 pounds is 5.
Step-by-step explanation:
The design factor (multiplier) for a wire rope sling is calculated by dividing the breaking strength of the sling by the working load limit. In this case, the breaking strength is 10000 pounds and the working load is 2000 pounds. Therefore, the design factor is 10000/2000 = 5.
So, the correct answer is C. 5.