For the feasibility region shown below (will affix in a sec!!), find the maximum value of the function P=2x+3y.*** there are no price choices...

9 years backYou are watching: For the feasibility region shown below

OpenStudy (anonymous):9 years ago

OpenStudy (anonymous):

hi!!! i have actually like no idea exactly how to perform this :(

9 years agojimthompson5910 (jim_thompson5910):

this is a direct programming problem

9 years agojimthompson5910 (jim_thompson5910):

so an initial you need to determine the edge points

9 year agojimthompson5910 (jim_thompson5910):

what space the edge points

9 year agojimthompson5910 (jim_thompson5910):

the min and the max will result if girlfriend plug in among those points right into P = 2x+3y

9 year agojimthompson5910 (jim_thompson5910):

plug in (0,0) p = 2x+3y ns = 2(0)+3(0) ns = 0 + 0 ns = 0 plug in (0,8) ns = 2x+3y ns = 2(0)+3(8) ns = 0 + 24 p = 24

9 year agojimthompson5910 (jim_thompson5910):

So we have the following(0,0) ---> ns = 0(0,8) ---> p = 24(6,5) ---> p = 27(8,0) ---> ns = 16which allude yields the biggest value the P?

9 year agojimthompson5910 (jim_thompson5910):

so the max of ns = 2x+3y is ns = 27 given the constraints in the graph

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