The marginal rate of substitution between points C and D is

Steps to Solve

1. Identify the Coordinates of Points C and D

   From the graph, we need to extract the coordinates for points C and D. Based on the graph:

   • Point C is located at (4, 6) indicating 4 hamburgers and 6 wings.
   • Point D is located at (8, 2) indicating 8 hamburgers and 2 wings.

2. Calculate the Change in Wings and Hamburgers

   Determine how many wings and hamburgers change when moving from point C to point D.

   • Change in Hamburgers: $$ \Delta H = H_D - H_C = 8 - 4 = 4 $$

   • Change in Wings: $$ \Delta W = W_D - W_C = 2 - 6 = -4 $$

3. Calculate the Marginal Rate of Substitution (MRS)

   The marginal rate of substitution is computed by taking the negative ratio of the change in wings to the change in hamburgers.

   $$ MRS = -\frac{\Delta W}{\Delta H} = -\frac{-4}{4} = 1 $$

4. Select the Correct Answer

   The answer choices provided do not include "1". Instead, I reconsider the correct interpretation of the MRS based on typical convention in microeconomics.

   Given that the question asks for the marginal rate of substitution, we should compute the absolute values to find the constant:

   Since there's a misunderstanding in the perception of direction, let's identify that as consumers increase hamburgers from C to D, they give up wings.

   MRS should be reconsidered as: $$ \text{MRS} = \frac{\Delta W}{\Delta H} = -\frac{-4}{4} = 1 $$

   If we consider slopes across curves instead:

   Since the actual shift means sacrificing wings to gain hamburgers, we would link MRS to the appropriate choices.