In: Economics
JRT Motors Inc. has been shipping its Suzuki engines in containers to avoid the necessary crating of the engines. JRT Motors Inc. will pay freight on container load of 40 tons, regardless of whether or not the container is completely filled with engines. Record shows that due to engine size, JRT Motors Inc. has shipped only 30 tons per container. Freight of container cost $3.00 per kilograms.
If the engines are crated so that they
can be shipped at the rate of $3.50 per hundred kilograms with the
freight bill computed only on the actual weight shipped. The cost
of crating would be $50 per engine and would increase the shipping
weight from 1500 kg to 1520 kg per engine. How much more economical
shipping the engine in crates than in containers? Should JRT Motors
Inc. ship the engines in crates or in containers?
Please show a clear, complete and step-by-step solutions as well as
essential formulas to be considered.
JRT motors could pay freight of 40 tonnes regardless of whether or not the container is filled with engines.
Due to engine size, JRT motors has shipped only 30 tonnes per container. Freight of container cost is $3 per kilogram. 30 tonnes is equal to 30,000 kilograms. So, the total cost would be 30,000*3 = $90,000. However, as it's said JRT motors will pay the bill for 40 tonnes, so the cost will be 40 tonnes = 40,000 kilograms, 40,000*3. =$1,20,000.
If the engines have to be crated then the fare has to be paid only on the actual weight shipped. The freight for crating is $3.50 per hundred kilograms. The cost of crating is $50 per engine and the engine weight would increase from 1500 to 1520 kilograms per engine. So, the cost of crating would be $50*1500 = $75,000. The shipping weight increases to 1520 kilogrms after creating. The cost is $3.50 per hundred kilograms. If $3.50 is the cost per hundred kilograms, then the cost per thousand kilograms would be 10*3.50 = $35. The total cost would be, 1520kgs = 1000kgs + 520 kgs= 1000*35+520*3.5 { whereas, 35 = cost per thousand kilograms, and 3.5 is the cost per hundred kilograms} = 35,000+1820 =$36,820. So, the total cost if the things are being created would be = $36820+75,000 = $1,11,820.
Shipping it by containers gives a total cost of $1,20,000, whereas, in crates gives a total cost of $1,11,820. So, JRT motors should ship by crating as it gives a lower cost.