Question

1. Harley Davidson has its engine plant in Milwaukee and its motorcycle assembly plant in Pennsylvania. Engines are transported between the two plants using trucks, with each trip costing $1,000. The motorcycle plant assembles and sells 3000 motorcycles a year. Each engine costs $500, and Harley incurs uses holding cost of 20 percent. How many engine should Harley load into truck?

Answer 1

Answer:

Company should load 1,479.9 motorcycles on each truck.

Explanation:

Cost per trip = $1,000

Demand for motorcycles = 300 per day

Cost per engine = $500

Holding cost =  20% of $500

                     = $100

Assuming that company plant works for 365 days in a year,

Annual demand = 300 motorcycles × 365 days

                           = 109,500 motorcycles

$Economic\ order\ quantity\ for\ each\ truck=\sqrt{\frac{2DS}{H}}$

where,

D = Annual demand in units

S = Set up cost per order

H = Handling cost per order

$Economic\ order\ quantity\ for\ each\ truck=\sqrt{\frac{2\times109,500\times1,000}{100}}$

$=\sqrt{\frac{219,000,000}{100} }$

$\sqrt{2,190,000}$

= 1,479.9

Thus, the company should load 1,479.9 motorcycles on each truck.