Luther Corporation Consolidated Income Statement
Year ended December 31 (in $millions)
2006 2005
Total sales 610.1 578.8
Cost of sales (500.2) (355.3)
Gross profit 109.9 223.5
Selling, general, and
administrative expenses (40.5) (38.7)
Research and development (24.6) (21.8)
Depreciation and amortization (3.6) (3.9)
Operating income 41.2 159.1
Other income −− −−
Earnings before interest and taxes (EBIT) 41.2 159.1
Interest income (expense) (25.1) (15.3)
Pretax income 16.1 143.8
Taxes (5.5) (50.33)
Net income 10.6 93.47
Price per share $16 $15
Sharing outstanding (millions) 10.2 8.0
Stock options outstanding (millions) 0.3 0.2
Stockholders' Equity 126.6 63.6
Total Liabilities and Stockholders' Equity 533.1 386.7
Refer to the income statement above. Luther's operating margin for the year ending December 31, 2005 is closest to:.
A. 13.7413.74%
B. 21.9921.99%
C. 27.4927.49%
D. 32.9932.99%

Walter wants to deposit $1,500 into a certificate of deposit at the end of each ofthe next 6 years. the deposits will earn 5 percent compound annual interest. ifwalter follows through with his plan, approximately how much will be in his accountimmediately after the sixth deposit is made?

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

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