You are an industry you are an industry analyst that specializes in an industry where the market inverse demand is p = 200 - 5q. the external marginal cost of producing the product is mcexternal = 10q, and the internal cost is mcinternal = 16q." that specializes in an industry where the market inverse demand is p = 200 - 5q. the external marginal cost of producing the product is "

An internal marginal cost is the extra cost of producing one more unit of output.

An internal marginal cost is the extra cost to society after one more unit of output is produced. It is also known as externality.

And the social marginal cost is the sum of internal and external marginal costs.

For this question:

The external marginal cost of producing the product is $10Q, which is given by the question.

And the social marginal cost is:

MCSocial = MCexternal + MCinternal

MCSocial = 10Q + 16Q

MCSocial = 26Q

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this