The candidate should first clarify their understanding of the question and ask for the information required to support a structured approach.
Each milkman works a five hour daily shift each morning. On average, a milkman delivers one standard one-pint bottle of milk per minute over this five hour period
Number of bottles of milk delivered per milkman per shift = 60 per hour for 5 hours = 300 bottles
Daily total bottle to be delivered = 5000
5000/300 = 16.67
Therefore 17 milk floats are required to deliver all the milk within the five hour time window.
The three milk float manufacturers which have provided quotes to Johnson’s for a new fleet are FloatMaster, Dairy Solutions and Crate Hauler.
The different milk floats offered by these suppliers have different capacities, measured in crates.
A crate of milk contains 20 standard one pint bottles.
5000/20 = 250 crates per day
250/8 = 31.25
Therefore, 32 floats are needed
Cost = 32 x 16 = £512k
250/10 = 25 floats needed
Cost = 25 x 20 = £500k
250/15 = 12.5
However, each float can only deliver 300 bottles or 15 crates within the five hour time window
Therefore, we must still have a minimum of 17 floats.
Cost = 17 x 32 = £544k
Dairy Solutions is the lowest cost for a fleet to meet Johnson's requirements. Therefore, we should buy 25 milk floats from Dairy Solutions.