Consider the SIRD model considered in the latter part of "Models of Infectious Diseases (II). Solve the model for all combinations of (i) the state date of the lockdown, (ii) the end date of lockdown, and (iii) intensity of lockdown, subject to the following restrictions. - The end date of lockdown is greater than 1 and less than or equal to 100. - The start date of lockdown has to be less than or equal to the end date of lockdown. - t (Intensity of lockdown) takes the same value as long as the lockdown is in place. The value that t takes is {0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8}. In this exercise, set =0.5,=0.2,I=0.5, and =0.001. Assume that S1=1106,I1=106,R1=0,=0.99, and =50000. Simulate the model until time 500. - Provide IRFs with the start date =20 the end date =50 intensity =0.4 - Find the combination of (i), (ii), and (iii) that maximizes welfare. Also provide IRFs consistent with that optimal combination. Consider the SIRD model considered in the latter part of "Models of Infectious Diseases (II). Solve the model for all combinations of (i) the state date of the lockdown, (ii) the end date of lockdown, and (iii) intensity of lockdown, subject to the following restrictions. - The end date of lockdown is greater than 1 and less than or equal to 100. - The start date of lockdown has to be less than or equal to the end date of lockdown. - t (Intensity of lockdown) takes the same value as long as the lockdown is in place. The value that t takes is {0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8}. In this exercise, set =0.5,=0.2,I=0.5, and =0.001. Assume that S1=1106,I1=106,R1=0,=0.99, and =50000. Simulate the model until time 500. - Provide IRFs with the start date =20 the end date =50 intensity =0.4 - Find the combination of (i), (ii), and (iii) that maximizes welfare. Also provide IRFs consistent with that optimal combination