You have been assigned to arrange the songs on the cassette version of the famous music band, Nirvana’s latest album. A cassette tape has two sides (1 and 2). The songs on each side of the cassette must total between 14 and 16 minutes in length. The length and type of each song are given in the table below. The assignment of songs to the tape must satisfy the following conditions. Song Type Length (in minutes) 1 Ballad 4 2 Hit 5 3 Ballad 3 4 Hit 2 5 Ballad 4 6 Hit 3 7 5 8 Ballad and hit 4 Formulate the problem as an IP to determine which song is assigned to which side of the cassette to satisfy the following conditions. a) The songs on each side of the cassette must total between 14 and 16 minutes in length. b) Each song must be assigned to exactly either one of the sides. c) Each side must have exactly two ballads. d) Side 1 must have at least 3 hit songs. e) Either song 5 or song 6 must be on side 1. f) If song 2 and 4 are on side 1, then song 5 must be on side 2.

Create a weighted scoring model to determine grades for a course. Final grades are based on three exams worth 20 percent, 15 percent, and 25 percent, respectively; homework is worth 15 percent; and a group project is worth 25 percent. Enter scores for three students. Assume that Student 1 earns 90 percent (or 90) on every item. Assume that Student 2 earns 70 percent on each of the exams, 80 percent on the homework, and 95 percent on the group project. Assume that Student 3 earns 90 percent on Exam 1, 80 percent on Exam 2, 75 percent on Exam 3, 80 percent on the homework, and 70 percent on the group project.

There are two companies manufacturing drones. Company A manufactures mass market drones, while company B manufactures customised drones according to customers’ requirements. In 2020, company A produces 3,200 drones, 3% of which were found to be defective and cannot pass the quality check. Company A employs 5 workers working an average of 8 hours a day in the drone production, and they worked 200 working days in 2020.In contrast, company B produces 900 drones, 10% of which were found to be defective and cannot pass the quality check. Company B employs 3 workers working an average of 6 hours a day in the drone production, and they worked 170 days in 2020. (a) If the drone manufacturing is seen as a process, what is considered as the output of the production processes of companies A and B and why? (b) Measure the single-factor manpower productivity for the two companies. (c) Is it reasonable to compare the manpower productivity of the two companies and reach a conclusion that one company…

Slider A moves in the horizontal slot with a constant speed v = 1.71 m/s for a short interval of motion. Determine the angular velocity w of bar AB if the displacement XA = 760 mm, and the length L = 850 mm. The angular velocity is positive if counterclockwise, negative if clockwise. B A 55° Answer: w= rad/s