Math Solutions

[See Solution] 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

Question: 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 \(C(Q)=100\) \(+8 Q .\) (Note: \(M B(Q)=28-10 Q\) and \(M C(Q)=8 .)\)

  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.
    \(d\). What are the marginal net benefits when \(Q=1 ? Q=5 ?\)
    \(e\). What level of \(Q\) maximizes net benefits?
    \(f\). At the value of \(Q\) that maximizes net benefits, what is the value of marginal net benefits?
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