If production displays economies of scale, the long run average cost curve is
a. upward sloping.
b. above the short run average total cost curve.
c. downward sloping.
d. below the long run marginal cost curve.

C. Downward sloping

Explanation:

According to my research on Business Economics I can say that the graph/curve of a long run average cost if production displays economies of scale would be Downward Sloping. This is because when talking about scale it is representing a situation that has an increasing output as well as an increasing average cost, causing the slope to face downward.

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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