As a toy builder you enjoy making toys for both fun and profit. For your latest production batch, you need to decide how many of each toy to make. The four types of toys you make are airplanes, helicopters, bus, and cars. To build an airplane you need 3 blue blocks, 2 green rods, and 1 red wheel. To build a helicopter you need 2 blue blocks, 4 green rods, and 1 red wheel. To build a bus you need 1 blue blocks, 3 green rods, and 4 red whesl. To build a car you need 1 blue block, 2 green rods, and 4 red wheels. Your profit margins for each toy are as follows: Airplane P7, Helicopter P8, Bus P6, Car P5. The parts available to you are as follows: 30 blue blocks, 44 green rods, and 50 red wheels. It is ok to have leftover parts. Question: What is the maximum profit you can achieve?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 59P
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Question
As a toy builder you enjoy making toys for both fun and profit. For your latest production batch,
you need to decide how many of each toy to make. The four types of toys you make are airplanes,
helicopters, bus, and cars.
To build an airplane you need 3 blue blocks, 2 green rods, and 1 red wheel. To build a helicopter
you need 2 blue blocks, 4 green rods, and 1 red wheel. To build a bus you need 1 blue blocks, 3
green rods, and 4 red wheel. To build a car you need 1 blue block, 2 green rods, and 4 red wheels.
Your profit margins for each toy are as follows: Airplane P7, Helicopter P8, Bus P6, Car P5.
The parts available to you are as follows: 30 blue blocks, 44 green rods, and 50 red wheels. It is
ok to have leftover parts.
Question: What is the maximum profit you can achieve?
Transcribed Image Text:As a toy builder you enjoy making toys for both fun and profit. For your latest production batch, you need to decide how many of each toy to make. The four types of toys you make are airplanes, helicopters, bus, and cars. To build an airplane you need 3 blue blocks, 2 green rods, and 1 red wheel. To build a helicopter you need 2 blue blocks, 4 green rods, and 1 red wheel. To build a bus you need 1 blue blocks, 3 green rods, and 4 red wheel. To build a car you need 1 blue block, 2 green rods, and 4 red wheels. Your profit margins for each toy are as follows: Airplane P7, Helicopter P8, Bus P6, Car P5. The parts available to you are as follows: 30 blue blocks, 44 green rods, and 50 red wheels. It is ok to have leftover parts. Question: What is the maximum profit you can achieve?
Workforce management is central to efficient operations and good customer service.
Proper scheduling of employees can mean the difference between profitability and business
failure.
As the manager of a popsicle stand, you are required to hire and set the weekly work
schedule for your employees. The required staffing levels for the week are as follows.
Total employees required: Monday=5, Tuesday=7, Wednesday=7, Thursday=10,
Friday=16, Saturday=18, Sunday=12. Assume the same staffing requirements continue
week after week.
Full Time employees work 5 consecutive days and earn $100 per day. Part Time employees
work 2 consecutive days and earn $150 per day.
Question: What is the minimal weekly staffing cost you can achieve while meeting the
required staffing levels? 2/2012
Transcribed Image Text:Workforce management is central to efficient operations and good customer service. Proper scheduling of employees can mean the difference between profitability and business failure. As the manager of a popsicle stand, you are required to hire and set the weekly work schedule for your employees. The required staffing levels for the week are as follows. Total employees required: Monday=5, Tuesday=7, Wednesday=7, Thursday=10, Friday=16, Saturday=18, Sunday=12. Assume the same staffing requirements continue week after week. Full Time employees work 5 consecutive days and earn $100 per day. Part Time employees work 2 consecutive days and earn $150 per day. Question: What is the minimal weekly staffing cost you can achieve while meeting the required staffing levels? 2/2012
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,