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If the quantity supplied of a particular commodity is represented by the Function, Qs = 2Op − 100, a) What is the quantity supplied at the price of i) GH¢12.00 ii) GH¢20.00 b) State the law of supply using the supply function

Economics

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Answers

2 parts
a(i)

140 units\text{140 units}

a(ii)

300 units\text{300 units}

Step-by-step solution

4 steps

Here's the solution to your economics problem.

The supply function is given as Qs=20P−100Q_s = 20P - 100.

Part a(i)· 2 steps

GH¢12.00

What is the quantity supplied at the price of

  1. Substitute P=12P = 12 into the supply function.

    Qs=20(12)−100Q_s = 20(12) - 100
  2. Calculate the quantity supplied.

    Qs=240−100Q_s = 240 - 100 Qs=140Q_s = 140

    The quantity supplied at GH¢12.00 is 140 units\boxed{\text{140 units}}.

Part a(ii)

300 units\text{300 units}

GH¢20.00

  1. Substitute P=20P = 20 into the supply function.

    Qs=20(20)−100Q_s = 20(20) - 100
  2. Calculate the quantity supplied.

    Qs=400−100Q_s = 400 - 100 Qs=300Q_s = 300

    The quantity supplied at GH¢20.00 is 300 units\boxed{\text{300 units}}.

Part b

State the law of Supply using the Supply Function.

The law of supply states that, all else being equal, as the price of a good or service increases, the quantity supplied will also increase, and vice versa. In the given supply function, Qs=20P−100Q_s = 20P - 100, the positive coefficient of PP (which is 20) indicates a direct relationship between price (PP) and quantity supplied (QsQ_s), consistent with the law of supply.

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