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Picture perfect makes window treatments and fireplace mantels. The shop can make

label Algebra
account_circle Unassigned
schedule 0 Hours
account_balance_wallet $5

at most 100 of either per day. Window treatments require 6ft of wood, and each mantle requires 3ft of wood. There is 1,500ft available. The income from each window treatment is $12 and each mantle is $9. How many of each can be made for best income? 

Oct 21st, 2017

let quantity required for window be x

quantity required for mantle be y

 income from each window treatment is $12 ,total =12*a

and each mantle is $9,total =9*b

objective function= Z=12*a+9*b

constraints

at most 100 of either per day

x<=100

y<=100

since total is 1,500ft available

6x+3y<1500

from plotting 3 equations and getting common boundary,boundary points are=

(0,100),(100,0),(100,100)

Z is max for 100,100

but if constraints are asked at least instead of at most then 

(100,0)(200,100),(100,300)

then (100,300) is the best solution







Apr 9th, 2015

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