The total revenue function is represented by TR= -4q² + 600q, find the marginal revenue when q=50.
To find the marginal revenue, we need to find the derivative of the total revenue function with respect to q and evaluate it at q=50.
Given TR = -4q² + 600q, the marginal revenue (MR) is the derivative of the total revenue function with respect to q:
MR = d(TR)/dq = d(-4q² + 600q)/dq
MR = -8q + 600
Now, we can substitute q=50 into the equation to find the marginal revenue when q=50:
MR(q=50) = -8(50) + 600
MR(q=50) = -400 + 600
MR(q=50) = 200
Therefore, the marginal revenue when q=50 is $200.