Question

Two sociologists have grant money to study school busing in a particular city. They wish to conduct an opinion survey using 695 telephone contacts and 460 house contacts. Survey company A has personnel to do 37 telephone and 10 house contacts per hour, survey company B can handle 22 telephone and 15 house contacts per hour. How many hours should be scheduled for each firm to produce exactly the number of contacts needed? How many hours should be scheduled for Firm A and Firm B to produce exactly the number of contacts needed? Select the correct choice below and fill in the answer box(es) within your choice. O A. Firm A should schedule hours, and Firm B should schedule hours. (Type integers or decimals rounded to the nearest hundredth as needed.) OB. Firm A should schedule hours, and Firm B should schedule t hours. (Type an expression using t as the variable. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.) O C. Firm A and Firm B will not be able to produce the exact number of contacts needed.

Answer 1

let A = the no. of contact hours by company A the no. of contact hours by company B let B = system of Equation 37A+ 228 = 695 - 10A + 15B = 460 - 0 ③ 37A +22B = 695 *3.7) 37A + 55-58 = 702 7 33.5B = (B=0.2089/ 10 A+15(0.2089)= 460 10A = 456.8665 A= 45.68 firm firm B A - 45.68 0.2089 will not be the exact number number of of needed produce contacts