Final answer:
For the base-case scenario, the WipeOut Ski Company has a loss of $1 per unit. Without specific best-case scenario data, we assume that at the current price, profits cannot increase due to the marginal cost exceeding price. A simulation model with 1,000+ trials is needed to assess mean profit and risk, which is preferable for its comprehensive analysis capabilities.
Step-by-step explanation:
Profit Computation and Simulation Analysis
To compute the profit (in $) per unit for various scenarios for the WipeOut Ski Company:
- Base-case scenario: With total revenues of $125 (five units at $25/unit) and total costs of $130, the firm experiences a loss of $5, which translates to a loss of $1 per unit (total loss divided by the quantity).
- Worst-case scenario: If the price is below the average cost of $26/unit, the firm incurs a loss. Given the price of $25/unit, the loss is $1 per unit.
- Best-case scenario: The information provided does not delineate a best-case scenario, but if the price were above the average and marginal costs, the profit per unit would be positive. However, since the marginal cost is $30/unit which is higher than the price, producing more units will not result in positive profit.
To construct a simulation model for estimating mean profit per unit, we would use hypothetical values and run at least 1,000 trials. Note that without specific data or a provided model, exact simulation results cannot be calculated here.
Simulation is a preferred method for risk analysis as it generates a range of profit per unit values, enabling analysts to estimate variability and the likelihood of unacceptable outcomes.
For estimating the probability that the profit per unit will be less than $5 using simulation, one would calculate the frequency of such events in the simulation trials and divide by the total number of trials to get the probability.