Operations Management 639 Q1. Calculate the total factor productivity of the ABC company assuming that workers earn $12 per hour and work fifty 40-hour weeks per year, capital usage runs $1.1 million a year, material usage is $9 million/year, and energy costs are $270000 per year. The company runs a full double shift half the year for its seasonal product and a single shift of 95 workers the other half of the year. Annual output is 12500 units (10 marks). Q2. a. The Birzeit high school prinipal was concerned about the writing skills of the students. Over a two-week period she took random samples of students' papers and presented the errors by category. Develop a Pareto chart for the results of the study, summerized in the table below (10 marks): Type of error Punctuation Subject-verb agreement Incomplete sentences Capitalization Spelling Tense change Number of errors 14 19 52 457 211 104 b. The average cost of processing a computer run at the Palestinian Central Bureau of statistics is $38, with an upper control limit of $46 and a lower control limit of $30. Consider the following four sets of observations: 1-$35,$42,$45,$38,$46 2- $39,$38.$41,$45,$31 3- $31,$33,$41,$42,$46 4- $42,$41,$40,$46,$45 Are they all in control, on what rule would you base your decision? why? (10 marks).