SRL Archive - Mathematics

Can somebody help me out with constraints? i have no idea how to do them and i have a word problem on them due tommorow. Willing to give a 3m rsgp reward to the first person to solve this if solved tonight before 11 PM EST, i need this ASAP.

A gold processor has two sources of gold ore, source A and source B. In order to keep his plant running, at least three tons of ore must be processed each day. Ore from source A costs $20 per ton to process, and ore from source B costs $10 per ton to process. Costs must be kep to less than $80 per day. Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A. If ore from source A yields 2 oz. of gold per ton, and ore from source B yields 3 oz. of gold per ton, how many tons of ore from both sources must be processed each day to maximize the amount of gold extracted?

This is what i have so far, i am not sure if its right. I have to graph this and i am not quite sure what to do after this step even if i did get this right (which i probably didint)

A+B>3
20A+10B<80
A>2B

i believe 3a 1b

E:nvm i just solved it

From: bolshak25
i believe 3a 1b

for what? i have to write 3 constraints, and an objective function.

your first and third constraint should also have equal to.

and the equation

max f(x)=2a+3b

unless you need that in a different format?

From: bolshak25
your first and third constraint should also have equal to.

and the equation

max f(x)=2a+3b

unless you need that in a different format?

can you pm me your msn or something?

sent

bolshak help me figure this out and solve it! thanks. will be paying him. somebody please close this.

Perhaps it would be nice if we would all see how it was solved? :)

yes of course!
his constriants are right.
A+B>=3
20A+10B<80
A>=2B

as for finding the objective function, the part about how much ore is extracted gives that.

max 2a+3b

for graphing, you have to take the equations and make it so a is alone on one side.
a>=-b+3
a<-.5b+4
a>=2b
a is y b is x
when you graph that, there is a shaded region. those are all the possible solutions.
then you just find the best solution which is
3 of a and 1 of b which is 9 oz of gold at a cost of $70