Final answer:
The manufacturer has to honor 35,640 warranties.
Step-by-step explanation:
In this question, we are given that a microwave costs $89 and has a 17 full-replacement warranty. The manufacturer sells 475,360 warranties and has to honor 7.5% of them. To find out how many warranties the manufacturer has to honor, we can use the formula:
Number of warranties to honor = Total number of warranties sold x Percentage of warranties to honor
Substituting the given values, we get:
Number of warranties to honor = 475,360 x 0.075
Number of warranties to honor = 35,640
Therefore, the manufacturer has to honor 35,640 warranties.