There are three car mechanics have been hired in Ahmad Workshop. Each has different expertise that brings great profit to the workshop. However, there are some variable costs incurred for each of them. The annual revenue and cost details are as follows: Mechanic Revenue (RM) Variable Cost (RM) Fixed Cost (RM) A 155,000 40,000 40,000 B 160,000 35,000 40,000 C 140,000 38,000 40,000 i. Determine the relevant characteristic function ii. Find the core to determine how much each mechanic should be paid. Determine the Shapley value of the game. iv. Does the Shapley value give a reasonable division of the workshop's profits?
There are three car mechanics have been hired in Ahmad Workshop. Each has different expertise that brings great profit to the workshop. However, there are some variable costs incurred for each of them. The annual revenue and cost details are as follows: Mechanic Revenue (RM) Variable Cost (RM) Fixed Cost (RM) A 155,000 40,000 40,000 B 160,000 35,000 40,000 C 140,000 38,000 40,000 i. Determine the relevant characteristic function ii. Find the core to determine how much each mechanic should be paid. Determine the Shapley value of the game. iv. Does the Shapley value give a reasonable division of the workshop's profits?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:There are three car mechanics have been hired in Ahmad Workshop. Each has different
expertise that brings great profit to the workshop. However, there are some variable costs
incurred for each of them. The annual revenue and cost details are as follows:
Mechanic
Revenue (RM)
Variable Cost (RM)
Fixed Cost (RM)
A
155,000
40,000
40,000
B
160,000
35,000
40,000
C
140,000
38,000
40,000
i.
Determine the relevant characteristic function
ii.
Find the core to determine how much each mechanic should be paid.
Determine the Shapley value of the game.
iv.
Does the Shapley value give a reasonable division of the workshop's profits?
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