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

Algebra
Tutor: None Selected Time limit: 0 Hours

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

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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Aug 15th, 2014
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Aug 15th, 2014
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