ES final.par (page 1 of 2) Q Search With the start of the Covid 19 pandemic, the whole world is also taking precautions to minimize the damage caused by the pandemic. At the beginning of these precautions; curfews, restriction of working hours, closure of restaurants or cafes, distance education practices of educational institutions, travel restrictions. While these precautions help prevent the spread of the pandemic, they create a cost within countries and institutions, and the precautions taken over time are loosened or changed. The taken precautions with tehir cost and their effects on the pandemic are given in the table below. Cautions Cost Effect on Virus Spread Precaution 1 10.000 -% 7 Precaution 2 5.000 -%4 Precaution 3 7.000 -%5 Precaution 4 12.000 -%8 Precaution 5 14.000 -% 10 A simple mathematical description of the spread of a disease in a population is the so-called SIR model, which divides the (fixed) population of N individuals into three "compartments" which may vary as a function of time, t: S(t) are those susceptible but not yet infected with the disease; Tue 23:51 OPT TOOLS AND TECHNIQUES final.pdf (page 1 of 2) 0 WHICHay vary da TunctION OF IT, Search s(t) are those susceptible but not yet infected with the disease; I(t) is the number of infectious individuals; R(t) are those individuals who have recovered from the disease and now have immunity to it. N(t)=S(t)+1(t)+R(1) As a result of the researches, the rate of transmission in the society was found to be a% and it was determined that %b of the suspects were infected and the rest of suscepted (1-b%) were recovered. Employee who are sick do not able to participate in the labor force. In addition, 25% of the total population during the planning period is considered suspicious. The sick employee will not be able to work and will receive 1000 TL compensation. An employee can work for a maximum of 8 hours and the hourly wage is 25 TL. One unit of raw material costs 10 TL Under the assumption that there are no deaths due to the pandemic, an enterprise wants to establish a mathematical model to minimize its production costs and make effective planning according to the course of the pandemic. I A POW Ps Product 1 10 4 Work force (hour) Raw material (kg) Demand Penalty for unsatisfied demand Product 2 Product 3 Capacity 5 3 2000 2 1 500 120 110 20 10 100 30 Using the information provided above, set up a mathematical model that gives the minimum cost to show parameter changes a and b. Solve your model using GAMS and EXCEL. I XPS ES final.par (page 1 of 2) Q Search With the start of the Covid 19 pandemic, the whole world is also taking precautions to minimize the damage caused by the pandemic. At the beginning of these precautions; curfews, restriction of working hours, closure of restaurants or cafes, distance education practices of educational institutions, travel restrictions. While these precautions help prevent the spread of the pandemic, they create a cost within countries and institutions, and the precautions taken over time are loosened or changed. The taken precautions with tehir cost and their effects on the pandemic are given in the table below. Cautions Cost Effect on Virus Spread Precaution 1 10.000 -% 7 Precaution 2 5.000 -%4 Precaution 3 7.000 -%5 Precaution 4 12.000 -%8 Precaution 5 14.000 -% 10 A simple mathematical description of the spread of a disease in a population is the so-called SIR model, which divides the (fixed) population of N individuals into three "compartments" which may vary as a function of time, t: S(t) are those susceptible but not yet infected with the disease; Tue 23:51 OPT TOOLS AND TECHNIQUES final.pdf (page 1 of 2) 0 WHICHay vary da TunctION OF IT, Search s(t) are those susceptible but not yet infected with the disease; I(t) is the number of infectious individuals; R(t) are those individuals who have recovered from the disease and now have immunity to it. N(t)=S(t)+1(t)+R(1) As a result of the researches, the rate of transmission in the society was found to be a% and it was determined that %b of the suspects were infected and the rest of suscepted (1-b%) were recovered. Employee who are sick do not able to participate in the labor force. In addition, 25% of the total population during the planning period is considered suspicious. The sick employee will not be able to work and will receive 1000 TL compensation. An employee can work for a maximum of 8 hours and the hourly wage is 25 TL. One unit of raw material costs 10 TL Under the assumption that there are no deaths due to the pandemic, an enterprise wants to establish a mathematical model to minimize its production costs and make effective planning according to the course of the pandemic. I A POW Ps Product 1 10 4 Work force (hour) Raw material (kg) Demand Penalty for unsatisfied demand Product 2 Product 3 Capacity 5 3 2000 2 1 500 120 110 20 10 100 30 Using the information provided above, set up a mathematical model that gives the minimum cost to show parameter changes a and b. Solve your model using GAMS and EXCEL. I XPS