Identify the spaces indicated.  

The Floppier Disk Corp. operates a small manufacturing plant.  One of its production lines involves two processes, Alpha and Beta, and products must go through Alpha first, then Beta.  Two operators are needed, one for each process, and as soon as a job is finished in the Alpha process it can proceed immediately to the Beta process, releasing Alpha to start the next job immediately.  Beta cannot start a job until it is completely finished on Alpha.  Four jobs are currently waiting to be processed on the line, and the estimated running times on each process is shown below.  Use this information to answer the question below.  Assuming jobs are done in the sequence shown (A-B-C-D), what will be the “makespan” in hours to complete all four jobs?

The following screens are from the 24-7 shopping mall staff scheduling problem where workers work 8 consecutive hours per day, 5 consecutive days per week.  The formula for cell H67 would be:

You have written a self-help book on how to avoid tasteless Mylie Cyrus events.  Several reviewers think the book might be a best seller.  You have two offers from publishing houses, but you are also considering self-publishing.  Prudent Publishing has offered you $200,000 guaranteed payment, regardless of the success of the book.  Walrus House Publishing has offered you no guaranteed payment, but you will receive a portion of the profits after the cost to publish and promote the book.  If the book is a success, your estimated share of profit would be $600,000.  If it is a moderate seller, your estimated share would be $250,000.  If it is a flop, your estimated share would be $0.  With Walrus promoting it, you estimate the probabilities to be 20%, 40%, and 40% respectively.  If you choose to self-publish, it will cost you $150,000 to publish and promote your book.  Your estimated gross revenues and probabilities would be: success $1,000,000 (10%), moderate $650,000 (30%) and flop $50,000 (60%).  Which publishing choice has the highest Expected Monetary Value (EMV) payoff?

The S&P 500 index values for Dec. 31 of each year were downloaded from a website as shown below.  If an investor wanted to apply the minimax principle (or “maximin” principle), over which of the above time spans should they plan to invest in the S&P 500?

An obese 76 year-old female is being treated in an outpatient clinic for a hamstring strain sustained 2 weeks ago while she was trying to show her daughter that she could still do the splits.  Of the following, which factors would be LEAST likely to impair healing of this injury?

A 50 year-old female with history of recurrent anterior glenohumeral dislocation begins rehabilitation to help prevent future recurrence.  Strengthening exercises are prescribed.  Which position of the shoulder should be avoided during strengthening?

It is normal for the femur to be slightly ___________.

A PTA is preparing an inservice for her colleagues that will review anatomy of the spinal nerve and plexuses. Of the following, which would be MOST accurate to share with colleagues?

A patient complains of dysesthesias in the 4th and 5th fingers, relative to compression on the medial side of the elbow.  Which nerve is MOST likely aggravated and causing the symptoms?