A new vaccine against a deadly disease has just been discovered. Presently, 55 people die from the disease each year. The new vaccine will save lives, but it is not completely safe. Some recipients of the shots will die from adverse reactions. The projected effects of the inoculation are given in the accompanying table:

a. What are the interpretations of "marginal benefit" and "marginal cost" here? Calculate marginal benefit and marginal cost per each 10% increase in the rate of inoculation. Write your answers in the table.
b. What proportion of the population should optimally be inoculated?
c. What is the interpretation of "profit" here? Calculate the profit for all levels of inoculation.

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Total Marginal Percent l deaths benfi Marginal of popu- deaths due to cost of "Profit" ation due to inocu inocu- inocu of inocu- inoculated disease lation lation lation lation 10 20 30 40 50 36 28 21 15 10 10 15 20 25 30 35 70 90 100