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Dermaplus Analysis

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Based on a rigorous analysis of the data provided, this report provides details with respect to the profit-maximizing average daily production capacity for DermaPlusTM for each possible reference-based price of $50, $100, and $150 per unit identified by the consultant. The estimated expected daily profit at each price will also be provided. All unit and price values have been rounded to the nearest whole number or dollar.

Information in terms of the recommended average daily production capacity in units for the next 12 months will be provided in order to set the size of the plant’s unionized workforce. The assumption is the quantity of units identified used to set the size of the workforce will maximize daily …show more content…

In the event that management’s view is one that is pessimistic, the maximin rule would apply. BioMed would set production at 342 units of production in order to minimize the maximum worst payoff which is this case, is a loss of $249.

Management should be aware that both of the above options fail to consider any of the “good or bad” outcomes.

BioMed management may also consider applying the minimax regret rule. Under this rule, management would make a decision with the minimum worst potential regret by identifying the maximum possible potential regret for each decision. In this case, production would be set at 407 units yielding a maximum possible regret of $1,526.

This report provides a clear recommendation for average daily production capacity for the next 12 months. The analysis and various decision rules will assist management to provide a direction that will enable the best outcome when faced with uncertainty when combined with the risk tolerance.

Appendix I

Total Fixed Costs (TFC) = $9,000
Average Variable Costs (AVC) = 82.144 – 0.41197Q + 0.000711Q2
Total Costs (TC) = Total Fixed Costs + [Quantity x (Average Variable Costs)]
Total Costs (TC) = 9000 + Q*(82.144 – 0.41197Q + 0.000711Q2)

Marginal Costs (SMC) = a + 2bQ + 3cQ2
Marginal Costs (SMC) = 82.144 – [2(0.41197*Q)] + [3(0.000711*Q]2
Marginal Costs (SMC) = 82.144 – 0.82393Q + 0.002132Q2

Price Level = $50 per unit

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