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29 May, 04:12

Consider the following cost curve for a firm in a competitive industry where the market price equals $150. C = one third q cubed plus 6 q plus 1 comma 500. What is the firm's marginal cost (MC) ? MC = q squared plus 6. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E. g., a superscript can be created with the ^ character.) At what level of output does the firm maximize profits (minimize losses) ?

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  1. 29 May, 07:14
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    -$348

    Explanation:

    As per the data given in the question,

    Marginal cost (MC) = P rice

    This equation equals in case of maximizing output

    q^2 + 6 = 150

    q^2 = 144

    q = 12

    In equilibrium condition the profit maximizing price and market price is similar, i. e. $150.

    So, Total revenue obtained = P * Q

    = $150 * 12

    = $1,800

    Total cost = 1 : 3 * 12^3 + 6 * 12 + 1,500

    = $2,148

    Profit = Total revenue obtained - Total cost

    = $1,800 - $2,148

    = - $348
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