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ACME Woodgets produces two related types of woodgets. Function as follows Q A = 120 - 3P A + 2P B and Q B =

ACME Woodgets produces two related types of woodgets. Function as follows

QA = 120 - 3PA + 2PB and QB = 100 + PA- 2PB

where QA and QB are the weekly demands for type A and type B woodgets, respectively, and PA and PB are the prices that ACME sets for these goods.

(a) Find ACME Woodgets' revenue as a function of the prices: R = R(PA,PB).

(b) Find R/PA and R/PB.

(c) Find the prices that ACME should set so that R/PA = 0 and R/PB= 0.

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