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    Equilibrium: Finding Profit Maximizing Output and Price

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    Given the following Demand & Supply functions:
    Qd = 25 – P
    Qs = 10 + 2P
    a – What is the equilibrium values of P and Q?

    Now suppose the demand function changes to:
    Qd = 10,000 – 2P

    If Total Cost function is:
    TC = 5000 + 50Q
    b - Find the Profit – maximizing Quantity and Price.
    c – Find the firm’s profit.

    Given the following Demand and Cost functions for a monopolistically competitive firm:
    Qd = 100,000 - 20P
    TC = 1,000 + 10Q + .05Q to the power of 2

    a. Find the profit maximizing Quantity and Price.
    b. Find the Profit.

    © BrainMass Inc. brainmass.com October 9, 2019, 10:41 pm ad1c9bdddf
    https://brainmass.com/economics/general-equilibrium/equilibrium-finding-profit-maximizing-output-price-228595

    Solution Preview

    Solution is attached as word document also.

    Soution 1.
    a - What is the equilibrium values of P and Q?
    For equilibrium
    Qd=Qs
    25-P=10+2P
    3P=25-10=15
    3P=15
    P=15/3=5
    Qd (at P=5) =25-5=20
    Qs (at P=5) =10+2*5=10+10=20
    Equilibrium Price =$5
    Equilibrium Quantity=20

    Now suppose the demand function changes to:
    Qd = 10,000 - 2P
    If Total Cost function is:
    TC = 5000 + 50Q

    b - Find the Profit - maximizing Quantity and ...

    Solution Summary

    There are two problems. Solutions to given problems explain the steps to find out equilibrium price and quantity. It also explains the steps to find out profit maximizing output and price.

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