Detailed Answer
(d) The requirement is to determine the optimal agreement
for a lockbox system. The number of checks issued during
the year is determined by multiplying 700 times 360 days, which
results in a total of 252,000 checks. The total amount of collections
is equal to $453,600,000 (252,000 checks × $1,800 per
check). Answer (d) is correct because it results in the lowest cost
of $122,500 ($1,750,000 × 7%), which is the cost of maintaining
the compensating balance. Answer (a) is incorrect because it
results in a cost of $126,000 ($.50 × 252,000 checks). Answer
(b) is incorrect because it results in a cost of $125,000.
Answer (c) is incorrect because it results in a fee of $136,080 (3%
× $453,600,000).