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2. (10 points) If a certain firm has marginal cost given by MG = 6x + 60 and marginal
revenue given by MR = 180 2x where x is the number of units produced, how many
units should the company produce to maximize profit? (Remember to check that your
solution gives a maximum and not a minimum.)
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3. (10 points) Find the solution to
3y
2
2x
dy
1
dx
that passes through the point (2,1).
Your answer may be given in implicit form (that is, you do not need to solve for y.)
2Xdx
ydy
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