If a student attends every management science class, the probability of passing the course is 0.80; but if the student only attends randomly, then the probability of passing the course is 0.50. if a student fails, they can take a makeup test where the probability of passing is 0.60 if the student has attended every class. this probability of passing the makeup test drops to 0.10 if the student has attended at random. passing the course is worth 5 credits. full time attendance "costs" 3 credits in terms of energy and time whereas random attendance "costs" only 1 credit. use a decision tree to decide which is the best attendance pattern to adopt.

Vortex company operates a retail store with two departments. information about those departments follows. department a department b sales $ 800,000 $ 450,000 cost of goods sold 497,000 291,000 direct expenses salaries 125,000 88,000 insurance 20,000 10,000 utilities 24,000 14,000 depreciation 21,000 12,000 maintenance 7,000 5,000 the company also incurred the following indirect costs. salaries $36,000 insurance 6,000 depreciation 15,000 office expenses 50,000 indirect costs are allocated as follows: salaries on the basis of sales; insurance and depreciation on the basis of square footage; and office expenses on the basis of number of employees. additional information about the departments follows. department square footage number of employees a 28,000 75 b 12,000 50 required: 1. determine the departmental contribution to overhead and the departmental net income for department a and department b.