A firm has two plants - one in Adelaide (A) and one in Brisbane (B). Let QA and QB denote the amounts of output produced in plants A and B respectively. Production functions in these two plants respectively are QA = √0.5LA, QB = 0.1LB where LA and LB are the amounts of labour used in plants A and B respectively. Let wд and wp denote the price of labour in Adelaide and Brisbane respectively. Suppose wд = 1 and ³ = x, where a = 6. (a) Suppose production target is Q = 20. To minimise costs, the firm would choose QA and QB (b) Suppose the firm's production target is revised downward to Q = 5. To minimise costs, the firm would choose QA = and QB
A firm has two plants - one in Adelaide (A) and one in Brisbane (B). Let QA and QB denote the amounts of output produced in plants A and B respectively. Production functions in these two plants respectively are QA = √0.5LA, QB = 0.1LB where LA and LB are the amounts of labour used in plants A and B respectively. Let wд and wp denote the price of labour in Adelaide and Brisbane respectively. Suppose wд = 1 and ³ = x, where a = 6. (a) Suppose production target is Q = 20. To minimise costs, the firm would choose QA and QB (b) Suppose the firm's production target is revised downward to Q = 5. To minimise costs, the firm would choose QA = and QB
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:A firm has two plants - one in Adelaide (A) and one in Brisbane (B). Let QA and QB denote the amounts of
output produced in plants A and B respectively. Production functions in these two plants respectively are
QA = √0.5LA, QB = 0.1LB
where LA and LB are the amounts of labour used in plants A and B respectively. Let wд and wo denote
the price of labour in Adelaide and Brisbane respectively. Suppose WA 1 and wp = x, where x = 6.
=
(a)
Suppose production target is Q = 20. To minimise costs, the firm would choose QA
=
and QB
(b)
Suppose the firm's production target is revised downward to Q = 5. To minimise costs, the firm would
choose QA
and QB
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