28 Personnel Hiring A software consulting firm has received a large contract to develop a new airline reservation system for a major airline. In order to fulfill the contract, new hiring of programmer...

Extracted text: 28 Personnel Hiring A software consulting firm has received a large contract to develop a new airline reservation system for a major airline. In order to fulfill the contract, new hiring of programmer analysts, senior programmer analysts, and software engineers will be required. Each programmer analyst position will cost $40,000 in salary and benefits. Each senior programmer analyst position will cost $50,000 and each software engineer position $60,000. The airline has budgeted $1.2 million per year for the new hirings. If x, equals the number of persons hired for job category j (where j=1 cortesponds to programmer analysts, etc.): (a) Determine the equation which ensures that total new hires will exactly consume the budget. (b) If it were desired to spend the entire budget on one type of position, how many persons of each type could be hired? (c) If exactly 10 programmer analysts are needed for the contract, what is the maxi- mum number of senior programmer analysts that could be hired? Maximum num- ber of software engineers?