Final answer:
To find the profit between the breakeven points, set the revenue function equal to the total cost function and solve for Q. Substitute the values of Q into the revenue function to calculate revenues. Subtract the total costs from the revenues to find the profit between the breakeven points.
Step-by-step explanation:
To find the profit between the breakeven points, we need to determine the points at which revenue equals the total cost. The revenue function is given by R=10Q-Q^2 and the total cost function is given by C=Q+4. To find the breakeven points, we set R equal to C and solve for Q:
10Q-Q^2 = Q+4
Simplifying the equation, we get Q^2-9Q-4=0. Solving this quadratic equation, we find two possible values for Q. Substituting these values into the revenue function, we can calculate the corresponding revenues. Finally, subtracting the total costs from the revenue at each breakeven point gives us the profit between the points.