28 Personnel Hiring Asoftware 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 840,000 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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
icon
Related questions
Question
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?
Transcribed Image 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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer