Question 3. Fred's Furniture Factory has 1950 machine hours available each week in the cutting department, 1490 hours in the assembly department, and 2160 in the finishing department. Manufacturing a chair requires 0.2 hours of cutting, 0.3 hours of assembly, and 0.1 hours of finishing. A cobinet requires 0.5 hours of cutting, 0.4 hours of assembly, and 0.6 hours of finishing. A buffet requires 0.3 hours of cutting 0.1 hours of assembly, and 0.4 hours of finishing. (a) Set up a table that clearly (b) Define your variables and set (c) Set up the augmented matrix for displays the data. up the system of linear equations. the system. Question 4. The New York Stock Exchange reports in daily newpapers the dividend, price-to-earnings ratio, sales (in hundred of shares), last price, and change in price for each company. Write the following stock reports as a 4 x 5 matrix: American Telephone and Telegraph: 1.33, 17.6, 152,000, 26.75, +1.88 General Electric: 1.00, 20.0, 238,000, 32.26, -1.50 Sara Lee: 0.79, 25.4, 39,110, 16.51, -0.89 Walt Disney Company: 0.27, 21.2, 122,500, 28.60, +0.75 Mon.com @2022 Pokemon/Nintendo / Creatures/GAME FREAK. Made in Taiwan.Question 7. An electronics company produces transistors, resistors, and computer chips. Each transistor requires $ units of copper, 1 unit of zinc, and 2 units of glass. Each resistor requires 3 units of copper, 2 unit of zinc, and I units of glass. Each computer ship requires 2 units of copper, 1 unit of zinc, and 2 units of glass. How many of each can be made with 810 units of copper, 410 unit of zinc, and 490 units of glass? (a) Set up a table that clearly displays the data. (c) Define your variables and set up the system of linear equations. (d) Given that the final step in the Gauss-Jordan elimi- (b) Set up the augmented matrix for the system. 1 0 0 100 nation is given by 0 1 0 110 , what is the 0 0 1 90 answer to the question? Question 8. Consider matrix A = I Co , which has inverse A-1 = 2 73 ] Use A-1 to solve the system *+ 3y = 5 2x + 7y = - 3