Chapter 11: Linear Optimization Models Fairland Marketing Group is a full-service marketing research company. Fairland is being hired to interview registered voters in a district to gain insights into their opinions about certain issues. Each voter is to be interviewed in person. The cost of interviewing different types of voters varies due to the differences in proportion throughout the population. Based on previous studies, estimates of the interviewing costs for different types of voters are given in the table below. Cost Per Interview Democrat Republican Independent Male $20 $18 $24 Female $23 $22 $28 The contract called for Fairland to conduct interviews under the requirements (as detailed in the Constraints section given below. Please help Fairland develop an interview plan by formulating an linear optimization model. Follow the steps below. I. Define the decision variables. (Note: This step is done for you. Please use these decision variables hereafter.) X1 - Number of Male Democrats interviewed X2 - Number of Male Republicans interviewed: X3 - Number of Male Independents interviewed: X4 = Number of Female Democrats interviewed Xs - Number of Female Republicans interviewed: X6 - Number of Female Independents interviewed. II. Write the objective mathematically). Question 2 (2 points) This is a problem minimization maximization Question 3 (2 points) The objective function is 20 X1 + 18 X2 + 24 X3 + 23 X4 - 22 Xs + 28 X6 X1 + X2 X3 X4 X5 X6 10 20 X1 23 X2 + 18 X3 22 X4+24 Xs+28 X6 III. Write the constraints (mathematically), which are the contract requirements. Question 4 (2 points) Saved At most 40% of the total interviewed may be Republicans. 15 X2 + Xs