This animal shelter is likely non-profit, operating strictly on municipal funds and donations. This is why the interviewer will want to hear about ways in which you have been able to help a previous employer to save money. Discuss a time when you helped your employer to cut costs.
"My biggest cost reducing plan was to source new suppliers for our animal food and cleaning supplies. By doing some extra research, I was able to bring costs down by 20% in less than one year by switching vendors."
Entry Level answer example
"The greatest cost-cutting measurement that I accomplished at work was in my retail sales position. I made new suggestions for theft prevention. Since we implemented some of my suggestions our loss, due to theft, has decreased 12%."
Experienced answer example
"I am tremendously conscious of costs and spending since I have managed two other shelters in the past. I understand that funds are low in this industry. The biggest impact that I have made in the past was through onboarding more volunteers and changing vendors for supplies. These changes saved us over $30K last year."