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A firm produces two different goods, with demand given by the following: Pa = 100 –...

A firm produces two different goods, with demand given by the following:

Pa = 100 – 3Qa + 2Qb and Pb = 105 – 8Qb Where Pa = price of good A, Pb = price of good B, Qa = quantity of good A and Qb = quantity of good B. The marginal costs for the two goods are 12 for good A and 15 for good B.

Determine optimal prices and quantities for each good.

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Answer #1

A firm Produees tuo typ goods Frm Awhen oduce good A Pa leo-30a t2b TRA Pa -loc -30 +20 TRA h lo0 0a-30 +3 1 TRA l00 (1)-6 3b

2 TRB 1as Ph MRB JTRB MCB Potitmesiging Candite MRB-MCB 108-16Q 1 oS-1S TC uits S.625 Subaiduttg iuto qeuttonD 3a-S.6?S = 44Pa lo0-3 (.Su 2 (s 625 slo0-49 625 (12S0 i.625 PbUaluue in P gcae, Pb les-8 (Qb =S-(S.625 Ph 60

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