A producer of pottery is considering the addition of a new plant to absorb the b
ID: 351538 • Letter: A
Question
A producer of pottery is considering the addition of a new plant to absorb the backlog of demand that now exists. The primary location being considered will have the following cost structures as shown in the table. The producer knows there is a big order or order contract that will be awarded by the giant retail WalWal. The producer is not certain as what capacity production is to produce. It all depends on WalWal’s contract. The producer has also been informed, the first batch of pottery is required to ship in a very tight time frame from the first production run. The producer decides to plan ahead and select the best production process to set up for manufacturing.
Process 1
Process 2
Process 3
Ann. Fixed Cost $
9,835
15,681
6,589
variable cost $/unit
0.76
0.61
1.15
The producer wants you to help them to identify at what range of production quantity (Q) for Process 1, Process 2, and Process 3 is best to adopt.
Enter Q range with whole number and use signs such as <= and >= to describe greater or less than equal to. Ex. 1234 < Q <= 5678
a) The range of annual Q for which Process 1 is best to use is: __________
b) The range of annual volume for which Process 2 is best to use is: ________
c) The range of annual volume for which Process 3 is best to use is: ________
Process 1
Process 2
Process 3
Ann. Fixed Cost $
9,835
15,681
6,589
variable cost $/unit
0.76
0.61
1.15
Explanation / Answer
Comparing process 1 and process 2, Difference of fixed cost = (15681-9835) = 5,845 and Difference in Variable cost is 0.15. The cost would be same for Process 1 and Process 2 at (5845/0.15) = 38973.33 units. Cost of Process 3 is highest at 38973.33 units among three processes.
Comparing process 1 and process 3, Difference of fixed cost = (9835-6859) = 3246 and Difference in Variable cost is 0.39. The cost would be same for Process 1 and Process 3 at (3246/0.39) = 8323.07 units. Cost of Process 2 is highest at 8323.07 units among three processes.
a) The range of annual Q for which Process 1 is best to use is: 8323< 8324 (Q) < 38973
b) The range of annual volume for which Process 2 is best to use is: more than 38973
c) The range of annual volume for which Process 3 is best to use is: 1 to 8323
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