
Answer:
first we must determine the average accounts receivable under the current policy:
($2,830,000 x 90 days) / 365 days = $697,808.22
carrying cost of current accounts receivable = $697,808.22 x 20% x 90/365 = $34,412.46
net after tax cost of current policy = $34,412.46 x (1 - 40%) = $20,647.48
average accounts receivable under the new policy:
($2,705,000 x 35 days) / 365 days = $259,383.56
carrying cost of new accounts receivable = $259,383.56 x 20% x 35/365 = $4,974.48
net after tax cost of new policy = $4,974.48 x (1 - 40%) = $2,984.69
net savings from new policy = $20,647.48 - $2,984.69 = $17,662.79
but the company will lose profits due to a decrease in total sales:
lost revenues = ($2,830,000 - $2,705,000) x (1 - 72%) x (1 - 40%) = $21,000
advantage/disadvantage of new policy = net savings - lost profits = $17,662.79 - $21,000 = -$3,337.21
Since the new policy decreases profits by $3,337.21, it should be rejected.