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In the following q is in Items and MC and MR are in dollars per Item. A firm that sells Items knows that marginal cost

In the followingqis in Items andMCandMRare in dollars per Item.

A firm that sells Items knows that marginal cost isMC(q) =3q+30,

marginal revenue isMR(q) =785q, and the total cost to produce100Items is$18,200.

(a) Find the profit function.

P(q) =

(b) Find the maximum possible profit

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