Florence Marketing Group is being hired by a client firm to assist in ascertaining consumer reaction to a recently marketed product in Chicagoland. Florence decided to conduct personal interviews to obtain responses from consumers. From experience, Florence learns that interview cost varies due to differences in gender and location, as shown in the table below. The contract called for Florence to conduct interviews under the requirements (as detailed in the Constraints section) given below. Please help Florence develop an interview plan by formulating a linear optimization model. I. Define the decision variables. (Note: This step is done for you. Please use these decision variables hereafter.) X1= Number of interviews with males from the city; X2= Number of interviews with males from the suburbs; x3= Number of interviews with females from the city; X4= Number of interviews with females from the suburbs. What is the objective? MinMaxMaxMaxMinMinZ=10x1+9x2+11x3+12x4Z=10x1+9x2+11x3+12x4Z=x1+x2+x3+x4Z=10x1+11x2+9x3+12x4Z=10x1+11x2+9x3+12x4Z=x1+x2+x3+x4 At most 600 females may be interviewed. X3+X4>6009X3+12X4>6009X3+12X4600X3+X4600X3+X46009X3+12X4