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 = V 0.5LA, QB = 0.1L B where L A and LB are the amounts of labour used in plants A and B respectively. Let WA and WB denote the price of labour in Adelaide and Brisbane respectively. Suppose WA = 1 and WB = x, where x = 6. (a) (1 point) Suppose production target is Q = 20. To minimise costs, the firm would choose QA = and QB = (b) (0.5 points) Suppose the firm's production target is revised downward to Q = 5. To minimise costs, the firm would choose QA = and QB =and 8 8 = 0.1LB squaring -both side 0.5 614 and 8 0 = 0.1 LB LB = C8 B 10 9 9 B QA + QB = 20 QA = 20 - Q B - (D T. C = WAKA + LBLB = 1 X 2 x 8 ( + 6 x 1 0 x Q B = 294 + 60 QB - 2 but the value of ageD in ag (21but the value of ageD in ag ( 2 T. C = 2 ( 20 - 9 B ) + 60 Q B minimize I.C with respect to QB 2 T. C - 4 ( 20 - BB ) + 60 7 9 B FOL - 4 /20 - Q B ) + 60 20 - 80 + 498 7 60 =0 49p ? 20 90 = 5 but the value of Op in egg 84 - 20- 5 =15