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Take Home 3 Math 1520 1. Consumer and Producer Surplus. Round answers to the nearest whole number. a) Find the consumer and p
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Answer #1

Pd=6√78-x

PS=3√102+x

At equilibrium Pd=PS

2√78-x=√102+x

Squaring both sides

4(78-x)=102+x

312-4x=102+x

210=5x

x=42

P=36

Producer surplus=1/2(36-3√102)42

=21×5.7

=120

Consumer surplus=1/2×(6√78-36)×42

=356

B)

Pd=PS

6√83-x=3√102+x

Squaring both sides

4(83-x)=102 +x

332-4x=102+x

X=46

P=36.5

Producer surplus=1/2(36.5-3√102)46

=143

Consumer surplus=1/2(6√83-36.5)46

=417

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