Solve the problem.Ms. Jones installs and demonstrates smoke detectors. There are two smoke detectors that she installs, types A and B. Type A requires 1 hour to install and  to demonstrate. Type B requires  to install and  to demonstrate. Company rules require Ms. Jones to work a minimum of 20 hours a week as an installer and a maximum of 15 hours a week as a demonstrator. She gets paid $8 an hour for installing and $5 an hour for demonstrating. For

each week, Ms. Jones chooses to install and demonstrate the number of alarms of each type so that her earnings are maximized.(a) Define the variables x and y.(b) Write the complete system of inequalities needed to solve the problem.(c) Write the objective function.

What will be an ideal response?


(a)x = the number of type A smoke detectors installed and demonstrated
 y = the number of type B smoke detectors installed and demonstrated
(b)  
(c) earnings = 8(x + y) + 5(x + y) = x + 13y

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