On January $1,2024,$ the general ledger of $3$D Family Fireworks includes the following account balances:

During January $2024,$ the following transactions occur:

January $2$ Provide services to customers for cash, $$52,100.$

January $6$ Provide services to customers on account, $$89,400.$

January $15$ Write off accounts receivable as uncollectible, $$3,900.($Assume the company uses the allowance method$)$

January $20$ Pay cash for salaries, $$33,100.$

January $22$ Receive cash on accounts receivable, $$87,000.$

January $25$ Pay cash on accounts payable, $$7,200.$

January $30$ Pay cash for utilities during January, $$15,400.$

Analyze how well $3$D Family Fireworks manages its receivables:

a$-1.$ Calculate the receivables turnover ratio for the month of January. $($Hint: For the numerator, use total services provided to

customers on account.$)($Round your final answer to $1$ decimal place.$)$

a$-2.$ If the industry average of the receivables turnover ratios for the month of January is $5\mathrm{.}2$ times, is the company collecting cash from

customers more or less efficiently than other companies in the same industry?

b$-1.$ Calculate the ratio of Allowance for Uncollectible Accounts to Accounts Receivable at the end of January. $($Round percentage to $1$

decimal place.$)$

b$-2.$ Based on a comparison of this ratio to the same ratio at the beginning of January, does the company expect an improvement or

worsening in cash collections from customers on credit sales?