Pet Lodge Inc., which offers day and overnight kennel services for pets, is offering a promotion for new customers signing a contract: purchase $3$ overnight stays, a $10-$visit day pass punch card, and a new leash for $$520.$ The total transaction price of $$520$ is stated to the customer as $$180$ for the overnight stay, $$300$ for the punch card, and $$40$ for the leash. Allocate the $$520$ transaction price under the following separate scenarios.Note: Carry all decimals in calculations; round the final answer to the nearest dollar.a$.$ The three items $($overnight stays, day pass punch card, and leash$)$ are sold separately by Pet Lodge Inc. The standalone selling prices of the overnight stays, day pass punch card, and a new leash are $$180,$ $$300,$ and $$40,$ respectively....