Question
1. Three production processes, A, B, and C have the following cost structure: Process Fixed Cost Variable Cost Per Unit Per Year A $120000 $3.0
1. Three production processes, A, B, and C have the following cost structure:
Process Fixed Cost Variable Cost
Per Unit Per Year
A $120000 $3.0
B $90000 $4.0
C $80000 $4.5
(1) What is the most economical process for a volume of 8000 units?
(2) How many units per year must be sold with each process to have annual
profits of $50000 if the selling price is $6.95 per unit?
(3) What is the break-even volume for each process?
2. Community General Hospital finds itself treating many bicycle accident victims. Data from the last seven 24-hour periods is shown below:
Day Bicycle Victims
1 6
2 8
3 4
4 7
5 9
6 9
7 7
(1) What are the forecasts for days 4 through 8 using a 3-period moving
average model? Round the forecasts to two decimal places.
(2) With an alpha value of 0.4 and a starting forecast in day 3 equal to the
actual data, what are the exponentially smoothed forecasts for days 4 through 8?
Round the forecasts to two decimal places.
3.Sales (in thousands) of the new Thorton Model 506 convection oven over
the eight-week period since its introduction have been as follows:
Week Sales
1 18.6
2 21.4
3 25.2
4 22.4
5 24.6
6 19.2
7 21.7
8 23.8
(1) Which exponential smoothing model provides better forecasts, one using
= 0.6 or = 0.2? Compare them using mean squared error.
(2) Using the two forecast models in part (1), what are the forecasts for
week 9 ?
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