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nordsb [41]
3 years ago
5

If the demand function for a commodity is given by the equation

Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

Equilibrium quantity = 26.92

Equilibrium price is $31.13

Step-by-step explanation:

Given :Demand function : p^2 + 16q = 1400

           Supply function : 700 -p^2 + 10q = 0

To Find : find the equilibrium quantity and equilibrium price.

Solution:

Demand function : p^2 + 16q = 1400  --A

Supply function : p^2-10q=700 ---B

Now to find the equilibrium quantity and equilibrium price.

Solve A and B

Subtract B from A

p^2-10q -p^2-16q=700-1400

-26q=-700

26q=700

q=\frac{700}{26}

q=26.92

So, equilibrium quantity = 26.92

Substitute the value of q in A

p^2 + 16(26.92) = 1400

p^2 + 430.72 = 1400

p^2 = 1400- 430.72

p^2 = 969.28

p = \sqrt{969.28}

p = 31.13

So, equilibrium price is $31.13

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