A political polling company has been assigned to survey local voters a week before the upcoming election. The company will need to hire interviewers and statisticians for the job. Statisticians make $1,200 per week and interviewers make $800 per week. The company knows that they will need at least two interviewers and at least one statistician. A statistician spends 10 hours collecting data and 40 hours analyzing data. An interviewer spends 30 hours collecting data and 20 hours analyzing data. The polling company knows that they will need at least 320 hours of data analysis and 180 hours of data collection. How many statisticians and interviewers will be needed for this job in order to keep costs at a minimum?
a. Let x represent the number of statisticians needed and y represent the number of interviewers needed. Write the cost objective function.
b. Write the constraint inequality for the number of statisticians needed for this job.
c. Write the constraint inequality for the number of interviewers needed for this job.
d. Complete the following table.