Question

Three individuals, Mary, Jack and Helen, make up the total demand for donuts per month in a particular market.
Mary’s demand curve is 5P = 5000 – 1.25QM. Jack’s demand curve for donuts is given by P = 1000 – 0.5QJ.
Helen’s demand curve is given by QH = 2000 – 2P. The market demand curve would be:

Answer 1

The market demand curve would be 1000 - 0.125Q.

How to calculate the demand curve?

It should be noted that the market demand curve will be the sum of the individual demand curve.

The market demand curve will be calculated thus. Mary’s demand curve is 5P = 5000 – 1.25QM. Here, p = 1000 - 0.25QM

Jack’s demand curve for donuts is given by P = 1000 – 0.5QJ. Helen’s demand curve is given by QH = 2000 – 2P. This will be P = 1000 - 0.5QH.

The slope will be:

= 0.5 × 0.25

= 0.15

The demand function of Jack and Helen are the same. The demand curve will be 1000 - 0.125Q.

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