Please show all work and answer as much as possible.
Let F(/, R) = 1000 represent the future value of an investment of $1000 at an annual interest rate of 5% after 10 years, assuming a tax rate R and inflation rate /. Note that R and I are fractions between 0 and 1, where 0 is 0% and 1 is 100%. Complete the table below by computing the value of the function V at each indicated point in the domain. Use WolframAlpha, or another 3D graphing program, to plot the function V(I,R). Make sure to restrict the domain variables to the interval 0 to 1 for both I and R. Print the graph and attach to your work. Note: For WolframAlpha to interpret the input correctly, use x for the inflation rate and y for the tax rate. Find the partial derivatives VR and VI and show all work. Calculate VR(.05,. 20) and VI(.05,.20). Note: this is an inflation rate of 5% and a tax rate of 20% for each calculation. Explain the significance (in terms of economics) of the values found in question 4.