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

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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? 

Aug 15th, 2014

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


at most 100 of either per day



since total is 1,500ft available


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


Z is max for 100,100

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


then (100,300) is the best solution

Apr 9th, 2015

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