Problem 12-03 (Algorithmic)

PortaCom manufactures notebook computers and related equipment. PortaCom's product design group developed a prototype for a new high-quality portable printer. The new printer features an innovative design and has the potential to capture a significant share of the portable printer market. Preliminary marketing and financial analyses provided the following selling price, first-year administrative cost, and first-year advertising cost:

Selling price	=	$249 per unit
Administrative cost	=	$400,000
Advertising cost	=	$600,000

In the simulation model for the PortaCom problem, the preceding values are constants and are referred to as parameters of the model.

The cost of direct labor, the cost of parts, and the first-year demand for the printer are not known with certainty and are considered probabilistic inputs. At this stage of the planning process, PortaComs best estimates of these inputs are $45 per unit for the direct labor cost, $90 per unit for the parts cost, and 16000 units for the first-year demand. The standard deviation of 5500 units describes the variability in the first-year demand. PortaCom would like an analysis of the first-year profit potential for the printer. Because of PortaComs tight cash flow situation, management is particularly concerned about the potential for a loss.

Following is the table of random number intervals for generating values of direct labor cost per unit.

Direct Labour Cost per Unit	Interval of Random Numbers
$43	0.0 but less than 0.1
$44	0.1 but less than 0.3
$45	0.3 but less than 0.7
$46	0.7 but less than 0.9
$47	0.9 but less than 1

The parts cost depends upon the general economy, the overall demand for parts, and the pricing policy of PortaComs parts suppliers. PortaCom believes that the parts cost will range from $85 to $110 per unit. Costs per unit between $85 and $110 are equally likely.

1. Use the random numbers 0.3862, 0.9373, 0.0349, 0.432, and 0.7847 to generate five simulated values for the PortaCom direct labor cost per unit. If required, round your answers to the nearest dollar.

   Random Number	Direct Labor Cost
   0.3862	$ fill in the blank 1
   0.9373	$ fill in the blank 2
   0.0349	$ fill in the blank 3
   0.432	$ fill in the blank 4
   0.7847	$ fill in the blank 5

2. Use the random numbers 0.5947, 0.3219, 0.1998, 0.5344, and 0.883 to generate five simulated values for the PortaCom parts cost. If required, round your answers to the nearest cent.

   Random Number	Parts cost
   0.5947	$ fill in the blank 6
   0.3219	$ fill in the blank 7
   0.1998	$ fill in the blank 8
   0.5344	$ fill in the blank 9
   0.883	$ fill in the blank 10

3. Use the random numbers 0.7912, 0.1408, 0.5081, 0.6543, and 0.2277 and the table for the cumulative standard normal distribution in Appendix B to generate five simulated values for the PortaCom first-year demand. If required, round your answers to the nearest unit.

   Random Number	Demand
   0.7912	fill in the blank 11
   0.1408	fill in the blank 12
   0.5081	fill in the blank 13
   0.6543	fill in the blank 14
   0.2277	fill in the blank 15

Problem 12-03 (Algorithmic) PortaCom manufactures notebook computers and related equipment. PortaCom's product design group developed a prototype for a new high-quality portable printer. The new printer features an innovative design and has the potential to capture a significant share of the portable printer market. Preliminary marketing and financial analyses provided the following selling price, first-year administrative cost, and first-year advertising cost: Selling price Administrative cost = $400,000 Advertising cost = $600,000 In the simulation model for the PortaCom problem, the preceding values are constants and are referred to as parameters of the model. The cost of direct labor, the cost of parts, and the first-year demand for the printer are not known with certainty and are considered probabilistic inputs. At this stage of the planning process, PortaCom's best estimates of these inputs are $45 per unit for the direct labor cost, $90 per unit for the parts cost, and 16000 units for the first-year demand. The standard deviation of 5500 units describes the variability in the first-year demand. PortaCom would like an analysis of the first-year profit potential for the printer. Because of PortaCom's tight cash flow situation, management is particularly concerned about the potential for a loss. Following is the table of random number intervals for generating values of direct labor cost per unit. Direct Labour Cost per Unit = $249 per unit $43 $44 $45 $46 $47 Interval of Random Numbers 0.0 but less than 0.1 0.1 but less than 0.3 0.3 but less than 0.7 0.7 but less than 0.9 0.9 but less than 1 The parts cost depends upon the general economy, the overall demand for parts, and the pricing policy of PortaCom's parts suppliers. PortaCom believes that the parts cost will range from $85 to $110 per unit. Costs per unit between $85 and $110 are equally likely. a. Use the random numbers 0.3862, 0.9373, 0.0349, 0.432, and 0.7847 to generate five simulated values for the PortaCom direct labor cost per unit. If required, round your answers to the nearest dollar. Random Number Direct Labor Cost 0.3862 0.9373 0.0349 0.432 0.7847 $ $ $ $ $ b. Use the random numbers 0.5947, 0.3219, 0.1998, 0.5344, and 0.883 to generate five simulated values for the PortaCom parts cost. If required, round your answers to the nearest cent. Random Number Parts cost 0.5947 0.3219 0.1998 0.5344 0.883 0.7912 0.1408 0.5081 $ c. Use the random numbers 0.7912, 0.1408, 0.5081, 0.6543, and 0.2277 and the table for the cumulative standard normal distribution in Appendix B to generate five simulated values for the PortaCom first-year demand. If required, round your answers to the nearest unit. 0.6543 $ Random Number Demand 0.2277 $ $ $