Need help setting up an optimization problem.

BluMamba

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Joined
Jul 17, 2014
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As part of the balancing efforts for the real time strategy game we are developing,we want you to investigate a particular gaming scenario.
The ground units are constructed at the Vehicle Assembly Building, while theaircraft are constructed at the Star Port. Each building has an individual build queue,so air and ground units can be built simultaneously.

The resources generate at a rate of 15 metal per second and 5 energy per second.

Assume there are enough resources in stock at the beginning of the 3 minutes to coverany gaps in production and solve the problem for the resources that can be generatedover the three minutes (2700 metal and 900 energy).

Determine the configuration of air and ground units that can be built in 3minutes (180 seconds) that has the highest attack rating
.
The vehicle and aircraft stats are provided below, organized by production building:


Vehicle Assembly Building

Raptor Attack Bike

20 attack
75 metal
-
15s production time




Mobile Assault Walker
32 attack
100 metal
40 energy
20s production time



Thumper Heavy Tank

60 attack
150 metal
80 energy
40s production time




Mosquito Fighter

35 attack
150 metal
90 energy
30s production time



Hornet Bomber

55 attack
250 metal
120 energy
45s production time

I have to find the variables, objective function, and constraint inequalities. Can anyone help me get started. Thanks.
 
As part of the balancing efforts for the real time strategy game we are developing,we want you to investigate a particular gaming scenario.
The ground units are constructed at the Vehicle Assembly Building, while theaircraft are constructed at the Star Port. Each building has an individual build queue,so air and ground units can be built simultaneously.

The resources generate at a rate of 15 metal per second and 5 energy per second.

Assume there are enough resources in stock at the beginning of the 3 minutes to coverany gaps in production and solve the problem for the resources that can be generatedover the three minutes (2700 metal and 900 energy).

Determine the configuration of air and ground units that can be built in 3minutes (180 seconds) that has the highest attack rating
.
The vehicle and aircraft stats are provided below, organized by production building:


Vehicle Assembly Building

Raptor Attack Bike

20 attack
75 metal
-
15s production time




Mobile Assault Walker
32 attack
100 metal
40 energy
20s production time



Thumper Heavy Tank

60 attack
150 metal
80 energy
40s production time




Mosquito Fighter

35 attack
150 metal
90 energy
30s production time



Hornet Bomber

55 attack
250 metal
120 energy
45s production time

I have to find the variables, objective function, and constraint inequalities. Can anyone help me get started. Thanks.

DUPLICATE POST:


http://math.stackexchange.com/questions/870317/need-help-setting-up-an-optimization-problem
 
Hi BluMamba:

This is a tutoring web site; we need for you to explain what you've already done or thought about, in this exercise.

Please read the forum guidelines and rules, before posting. Here's a link to the summary page.

Thank you! :cool:
 
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