Tucker Pup$$s Pet Resort offers dog boarding services in Chicago. Assume that in March, when dog$-$days occupancy was at an annual low of $150$ days, the average cost per dog$-$day was $$65.$ In July, when dog$-$days were at a capacity level of $600,$ the average cost per dog$-$day was $$20.$ a$)$ What is the minimum price for boarding services where the company would not be worse off? b$)$ what factors would you consider in setting the price for boarding services? $($average costs, competitor pricing, projection of future costs, all of the above$)$