Answer Happy

If the marginal revenue (in dollars per unit) for a month for a commodity is MR-0.4x + 26, find the total revenue function. Step 1 Since the marginal revenue is found by taking the derivative of the revenue function, we can find the revenue function by taking the integral of the marginal revenue -1₁ R(x) = .. MR dx (-0.4x + 26) dx We can use the Powers of x Formula, [(-0.4x + 26) dx - dx 0+1 1²4 +26x + C C(n-1), for each term. Alternatively for the constant term, we can use the rule that C-0.2 +26z Step 2 We have R(x)= -0.2x² +26x+C Since the revenue from selling 0 items is $0, we know that R(0)-0 and thus the constant C-0 R(x) = 0 ✔ Therefore, the revenue function is -*.C.