Question:

A firm’s cost function for product x is AC = ⅓Q3 - 100Q -30

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At what level of production of x will the AC be minimised? please help and thanks

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  1. δAC/δQ=(Q³/3-100Q-30)'=0

    Q²-100=0

    Q²=100

    Q=10

    AC(10)= 10³/3-100*10-30= -696.6(6)

    Answ: AC→min at Q=10 ; AC(10)= -696.6(6)

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