College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Soundex produces two models of satellite radios. Model A requires 15 minutes of work on Assembly Line I and 10 minutes of work on Assembly Line II. Model B requires 10 minutes of work on Assembly Line I and 12 minutes of work on Assembly Line II. At most, 25 labor-hours of assembly time on Line I and 22 labor-hours of assembly time on Line II are available each day. It is anticipated that Soundex will realize a profit of $12 on Model A and $10 on Model B. How many satellite radios of each model should be produced each day to maximize Soundex's profit?

A. 60 A and 60 B
B. 60 A and 100 B
C. 190 A and 0 B
D. 50 A and 70 B

Answer :

This question requires linear programming to figure out how many of each model radios, A and B, should be produced each day to maximize profit while considering the constraints of labor hours available on assembly lines I and II.

This is a linear programming problem. We need to maximize the profit of Soundex while being cognizant of the labor hours available on each assembly line. Thus, we will set up and solve a system of inequalities.

A as the number of Model A radios

B as the number of Model B radios

Each model A radio requires 15 minutes of work which is 0.25 hours, and each model B radio requires 10 minutes which is around 0.167 hours. The total hours should be less than or equal to 25 for line I. Our first equation is:

0.25A + 0.167B ≤ 25

For line II, each model A radio requires 10 minutes or about 0.167 hours and each model B radio 0.2 hours. The total hours should be less than or equal to 22. Our second equation is:

0.167A + 0.2B ≤ 22

The objective is to maximize profit for Soundex. The amount of profit for each model A radio is $12, and for each model B radio is $10. We can represent it as:

P = 12A + 10B

You would solve these equations using graphical method or use software for linear programming to get the number of Model A and Model B radios that maximize the profit while considering the constraints.

Learn more about the topic of Linear Programming here:

https://brainly.com/question/30763902

#SPJ11