(Part A) Each week Carol, a candlemaker, has to send 216 candles to a candle seller. The candles are
cubes with sides of length just less than 10 cm. She can pack them tightly into boxes that are
30cm × 30cm × 30cm, or boxes that are 20cm × 30cm × 40cm, or a combination of the two types
of box. Carol can buy both types of box for $0.40 each.
Delivery charges are $5.00 for each 30 × 30 × 30 box and $4.60 for each 20 × 30 × 40 box. These delivery charges are fixed, regardless of how many candles are in the box.
(a) What is the least amount Carol must pay each week for boxes and delivery? Explain
(Part B) Carol’s weekly order goes down to 200 candles.
(b) What is the least amount Carol must now pay each week for boxes and delivery?
