Quiz 6  MATH 144 Applied Calculus for Business (Salomone)  Complete all your work on this page only. Be sure your writing is dark and legible.  Your Name:  Learning Outcome 133: E S I P N  #1. As marketing director for the exciting new POW! Patrol mobile game, you determine the following revenue and  cost models for your sales:  — —q3 + 12q2  R(q) -  C(q) = 21q + 5.  Here R and C are measured in thousands of dollars, and q is thousands of quantity sold.  (a) Find and simplify the profit function P(q) = R(q) — C(q).  (b) Find the marginal cost function MC(q), and explain in 1-2 sentence what this expression tells you about your  app
Answered Same DayOct 16, 2021

Answer To:

Rajeswari answered on Oct 17 2021
153 Votes
Quiz 4
a) We get P(q) = R(q)-C(q) =
We get profit function as revenue function minus cost functi
on.
Since revenue-cost = profit.
b) Marginal cost function is obtained by differentiating cost with respect to q i.e. quantity.
Marginal cost is derivative of cost function.
C(q)= 21q+5
When we differentiate we get 21+0 =21
MC= 21
Marginal cost is nothing but additional cost incurred when exactly 1 unit more is produced. Thus if a company is having 5000 units...
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