[Solution Library] (a) Suppose that the total benefit and total cost from an activity are, respectively, given by the following equations: B(Q)=150+28 Q-5 Q^2


Question: (a) Suppose that the total benefit and total cost from an activity are, respectively, given by the following equations: \(B(Q)=150+28 Q-5 Q^{2}\) and \(C(Q)=100\) \(+8 Q\).

  1. Write out the equation for the net benefits.
  2. What are the net benefits when \(Q=1\) ? \(Q=5\) ?
  3. Write out the equation for the marginal net benefits.
  4. What are the marginal net benefits when \(Q=1\) ? \(Q=5\) ?
  5. What level of \(Q\) maximizes net benefits?
  6. At the value of \(Q\) that maximizes net benefits, what is the value of marginal net benefits?

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