Given the following vectors: A is 25lbs at an angle of 30 degrees clockwise from the +x-axis, and B is 42lbs at an angle of 50 degrees clockwise from the +y-axis. (a) Make a sketch and visually estimate the magnitude and angle of the vector C such that 2A + C -B results in a vector with a magnitude of 35lbs pointing in the +x direction.(b) repeat the calculation in Part(a) using the method of components and compare your result to the estimate in (a).

1) Which of the following is an example of a secondary group?

A) the psychology class you are presently in

B) the graduating seniors at a large university

C) a family

D) all are secondary groups

and 24 others

elena bicycles 8 km/h faster than carlos. in the same time it takes carlos to bicycle 45 km, elena can bicycle 69 km. How fast does each bicyclist travel?

A.J.’s Wildlife Emporium manufactures two unique bird-feeders (Deluxe and Super Duper) that are manufactured and assembled in up to three different workstations (X, Y, Z) using a small batch process. Each of the products is produced according to the flowchart in Figure 7.13. Additionally, the flowchart indicates each product’s price, weekly demand, and processing times per unit. Batch setup times are negligible. A.J. can make and sell up to the limit of its weekly demand and there are no penalties for not being able to meet all of the demand. Each workstation is staffed by a worker who is dedicated to work on that workstation alone and is paid $16 per hour. The plant operates 40 hours per week, with no overtime. Overhead costs are $2,000 per week. Based on the information pro-vided, as well as the information contained in the flowchart, answer the following questions. a. Using the traditional method, which bases decisions solely on a product’s contribution to profits and over-head, what is the optimal product mix and what is the overall profitability? b. Using the bottleneck-based method, what is the optimal product mix and what is the overall profitability?