Assume that all firms in a competitive industry have cost curves given by the following: TC = 128 +8q +2q2. Further, the market demand curve is given by: p = 72-2Q. In the long run market equilibrium, each firm that remains in the market will produce:

In a competitive market, firms will produce where marginal cost equals marginal revenue (MC=MR) in the long run.

First, we need to find the marginal cost (MC) for the firm. The total cost (TC) function is given by TC = 128 + 8q + 2q^2. The marginal cost is the derivative of the total cost with respect to quantity (q).

The derivative of TC = 128 + 8q + 2q^2 is MC = 8 + 4q.

Next, we need to find the marginal revenue (MR). In a perfectly competitive market, the marginal revenue is equal to the price (p). The price is given by the demand function p = 72 - 2Q.

In a competitive market, each firm is a price taker, meaning the market price is the price at which they sell their product. Therefore, the price p is also the marginal revenue MR for the firm.

Setting MC = MR gives us:

8 + 4q = 72 - 2Q

Since q (quantity per firm) times the number of firms (N) equals Q (total quantity), we can substitute q = Q/N into the equation:

8 + 4(Q/N) = 72 - 2Q

Solving for Q/N (which is q, the quantity produced by each firm) gives us:

4(Q/N) = 64 - 2Q

(Q/N) = (64 - 2Q) / 4

In the long run equilibrium, the market is perfectly competitive, so Q = qN. Substituting Q = qN into the equation gives us:

q = (64 - 2qN) / 4

Solving for q gives us:

q = 16 - 0.5N

In the long run equilibrium, the number of firms is such that the price equals the minimum of the average total cost (ATC). The ATC is given by TC/q = (128 + 8q + 2q^2) / q.

Setting p = ATC and solving for q will give us the quantity produced by each firm in the long run equilibrium. However, without information on the number of firms in the market (N), we cannot solve for q.

Therefore, more information is required to answer this question.