Akshay and Jason are two farmers who grow vegetables on common land. Each farmer gets a benefit from the seeds that he plants, but the overall size and quality of the individual vegetables decreases as the number of seeds planted increases (since each vegetable has less room to grow and gets a smaller share of nutrients from the soil).

IfsAsArepresents the total number of seeds planted by Akshay andsJsJis the total number planted by Jason, then the total benefit to Akshay will be as follows:sA(90?sA?sJ) or90sA?sA^2?sAsJ. The marginal benefit to Akshay from planting additional seeds is, therefore, equal to90?2sA?sJ. Assuming the marginal cost of planting is zero, the best-response function that gives the optimal number of seeds Akshay should plant, as a function of the number of seeds Jason chooses to plant, is represented by (Blank to complete - see drop down in the picture below) .

Use the blue line (circle symbols) to plot Akshay's best-response function (BRF) on the following graph, with the total number of seeds he plants on the vertical axis as a function of the total number Jason plants (horizontal axis). Then, use the orange line (square symbols) to plot Jason's best-response function (assuming his total benefit is given bysJ(90?sA?sJ), and thus he responds to Akshay in the same way Akshay responds to him), with the total number he plants (horizontal axis) as a function of the total number Akshay plants (vertical axis). Finally, place the black point (X symbol) on the graph to indicate the Nash equilibrium number each farmer plants, given the other's equilibrium choice. Dashed drop lines will automatically extend to both axes.

See graph below.

When each farmer plants the equilibrium number of seeds, each farmer gets a benefit of

(Blank to complete)

If, instead, each farmer plants 20 seeds, each farmer will get a benefit of

(Blank to complete)

Suppose Akshay discovers a new method of fertilizing his seeds, such that his best-response function is now given bysA=50?0.5(sJ).

Use the green line (triangle symbols) to plot Akshay's new best-response function after this change on the original graph.

As a result of this change, the optimal number of seeds for Akshay to plantstay the same/increase/decrease , and the optimal quantity for Jason to plant stay the same/increase/decrease.

Please show your work and provide explanation.

Graph:

\fles on common land. Each farmer gets a benefit from the seeds that he plan ual vegetables decreases as the number of seeds planted increases (since each vegetable has less ro rom the soil). mber of seeds planted by Akshay and sy is the total number planted by Jason, then the total benefit to A or 90SA - SA' - SASJ. The marginal benefit to Akshay from planting additional seeds is, therefore, equal he marginal cost of planting is zero, the best-response function that gives the optimal number of seeds Aksh number of seeds Jason chooses to plant, is represented by SA = (45 - 83) ymbols) to plot Akshay's best-response function (BRF) on the the total number of seeds he tion of the total number Jason plants (horizontal axis). Then SA = (90 - 0.5s5) (square symbols) to plot Jason's ning his total benefit is given by sy (90 -SA - SJ), and thus sA = (45 -0.5s, ) by in the same way Akshay respo ber he plants (horizontal axis) as a function of the total number akshay pants ( vertical axis). Finally, place the black W