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Homework: 4.3 Gauss-Jordan Elimination Score: 0 of 1 pt (2) Social Sci 4.3.95 Sa

ID: 3196321 • Letter: H

Question

Homework: 4.3 Gauss-Jordan Elimination Score: 0 of 1 pt (2) Social Sci 4.3.95 Sa | 11 of 11 (11 complete) HW Score: 61.36%, 6.75 of 11 Question Help Two sociologists have grant money to study school busing in a particular city. They wish to conduct an opinion survey using 666 telephone contacts an 422 house contacts. Survey company A has personnel to do 28 telephone and 14 house contacts per hour; survey company B can handle 21 telephon 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 8 to produce exactly the number of contacts needed? Select the correct cholce below and ft in the answer box(es) within your choice. OA. Firm A should schedule j hours, and Firm B should scheduler i hours. O B. Firm A should schedule hours, and Firm B should schedule t hours. O c. Firm A and Firm B will not be able to produce the exact number of contacts needed Type integers or decimals rounded to the nearest hundredth as needed.) (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.) lick to select and enter your answer(s) and then click Check Answer l parts showing Clear All Check Answer

Explanation / Answer

Here if Company A has x employee and company B has y employee

28x + 21y = 666 ....(i)

14x + 15y = 422 ...(ii)

multiplying (ii) by 2

28x + 30y = 844 ....(iii)

now substracting (i)- > (iii) - (i)

9y = 844 - 666 = 178

y = 178/9 = 19.78 hours

x = (422 - 15 * 19.78)/14 = 8.95 hours

Here

Firm A would schedule 8.95 hours and B would schedule 19.78 hours. Option A is correct.