Pre-Test ISC UAS Matematika

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• none of these

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PT ISC wants to minimize its costs while producing output Q. It utilizes inputs x and y whose

prices are w1 and w2 respectively. The firm's production function is Q = xy. The optimization

problem for the firm can be best represented as:
A) Minimize C = w1x + w2y subject to Q = xy

B) Maximize C = w1x + w2y subject to Q = xy

C) Minimize C = (w1 + w2)Q subject to Q = xy

D) Minimize C = w1x2 + w2y2 subject to Q = xy

• A, B and C

• A and B

• C and D

• A and C

• none of the above

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For the function Q = AK^aL^b which of the following statements are true?

• dQ/dL = A^bK^bL^b−1

• Marginal Product of Labour (MPL) = AaK^(a−1)Lb

• Marginal Product of Capital (MPK) = aQ / K

• Marginal rate of substitution of capital for labour (MRS) = |dL / dK|

• none of the above