[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. 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. At most 60% of the total interviews may be males. X1+X20.6X1+X20.6X1+X20.6X1+X2+X3+X4X1+X2>0.6(X1+X2+X3+X4)x1+x20.6(X1+x2+x3+X4)x1+x20.6(x1+x2+x3+x4)x1+x20.4(x3+x4)x40.4(x3+x4)x2+x40.4(x3+x4)x4400X1+X3400X1+X340012X1+9X3400 Constraints on decision variables. X1,X2,x3,x40x1+x2+x3+x4=0x1,x2,x3,x40x1,x2,x3,x4=0or1x1+x2+x3+x40x1,x2,x3,x40x1,x2,x3,x4>0