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19 November, 09:10

If the demand function is Qd = 600 - 50P, and the supply function is Qs = - 400 + 150P, calculate the shortage or surplus at a price of $4. Typing only the words shortage or surplus is insufficient, you also need to enter the size of the shortage or surplus.

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  1. 19 November, 09:23
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    There will be a shortage of 200 units at price of $4.

    Explanation:

    The demand function is given as,

    Qd = 600 - 50P.

    The supply function is given as,

    Qs = - 400 + 150P

    The equilibrium price will be where both quantity demanded and quantity supplied will be equal.

    Qd = Qs

    600 - 50P = - 400 + 150P

    1000 = 200P

    P = $5

    Putting the value in demand function

    Qd = 600 - 50 * 5

    Q = 350

    The equilibrium quantity is 350 units.

    At price $4, the quantity supplied will be,

    = - 400 + 150 * 4

    = 200

    The quantity demanded will be

    = 600 - 50 * 4

    = 400

    The quantity demanded is greater than the quantity supplied. This implies that there is a shortage in the market.

    The shortage in the market will be

    = Qd - Qs

    = 400 - 200

    = 200

    There is a shortage of 200 units.
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