In this question, the letter A denotes the last 4 digits of your student number (for

example, if your student number is: 19183405022, then A = 5022).

A government is considering investing in two projects to reduce the human life lost to the COVID-19 pandemic:

Increasing the number of inhalators at the hospitals: H,

Distributing sets of vaccinations to public: V.

Suppose the price of an inhalator is PH = $3000 and the cost of a set of vaccination is PV = $1000. Moreover, suppose that the number of lives saved due to these projects is given by f(H, V) = 10HV.

a) Determine the number of inhalators and vaccinations that the government should invest in, in order to save A number of human lives in the least costly way.

b) If a human life is valued at $100 on average, determine the net benefits obtained from these projects at the optimal level you found in part (a).