view policies\ncurrent attempt in progress\nin the figure below, estimate the marginal revenue when the…

view policies\ncurrent attempt in progress\nin the figure below, estimate the marginal revenue when the level of production is 400 units and interpret it.\nround your answer to the nearest integer.\nmarginal revenue =\nthe revenue for producing unit will be $$\n etextbook and media\nsave for later\nusing multiple attempts will impact your score.\n5% score reduction after attempt 5\nattempts: 0 of 15 used submit

view policies\ncurrent attempt in progress\nin the figure below, estimate the marginal revenue when the level of production is 400 units and interpret it.\nround your answer to the nearest integer.\nmarginal revenue =\nthe revenue for producing unit will be $$\n etextbook and media\nsave for later\nusing multiple attempts will impact your score.\n5% score reduction after attempt 5\nattempts: 0 of 15 used submit

Answer

Explanation:

Step1: Recall marginal revenue concept

Marginal revenue $MR$ is the derivative of the revenue function $R(q)$, and can be approximated by the slope of the tangent line to the revenue - function graph at a given point.

Step2: Estimate the slope of the tangent line

To estimate the slope of the tangent line to the curve $R(q)$ at $q = 400$, we can use two points on the tangent line. Assume we choose two points on the tangent line close to $q = 400$. Let's say we estimate the rise and run. Looking at the grid, if we consider a small interval around $q = 400$. Suppose we move a small amount $\Delta q$ along the $q$-axis and observe the corresponding change $\Delta R$ in the revenue. If we assume that for a small change $\Delta q= 100$ (for example, from $q = 350$ to $q = 450$), and we estimate the change in $R$ (the rise) to be approximately $\Delta R=5000$. The slope of the tangent line (which is the marginal revenue) is given by the formula $MR=\frac{\Delta R}{\Delta q}$. [MR=\frac{\Delta R}{\Delta q}=\frac{5000}{100} = 50]

Answer:

Marginal revenue = 50 The revenue for producing the 401 - st unit will be $50$.