Part 2: Problem-solving Questions [Chapter 11] Linear Optimization Models 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. Cost Per Interview Gender City Suburbs Male $10 $11 Female $9 $12 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 Write your final answer only (without intermediate steps) for the fill-in-the-blank questions. 1. 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: Xy = Number of interviews with females from the city X4 = Number of interviews with females from the suburbs. II. Write the objective (mathematically). Question 28 (4 points) At least 50% of the total interviews must be from the suburbs. OX2 + X, >0.5(X1 + X2 + xy + X.) OXZ+X, 50.5 OX, + X 0.5 X1 + Xy+Xg+X) OX2 + X, 20.5 OXX20.5(X1 + X2 + X2 + X) OX, + X4