What does x equal? 8x=72
1 answer:
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Answer:
44 large houses and 16 small housed should be sold per month to obtain the best returns
Step-by-step explanation:
Let x denotes large bird houses and y denotes small bird houses.
We are given that Both types of houses go through two technicians; first a shaper and then a painter
The large house requires two hours of the shaper's time and and then a painter.
The small house requires one hour of the shaper's time and two hours of the painter's time.
We are given that The shaper has 104 hours and the painter has 76 hours of time available this month.
So,
Plot the lines on the graph
Refer the attached graph
The boundary points of feasible region are :
(0,0),(0,38),(44,16),(52,0)
Profit on the large house is $6 and on the small house is $11.
So, P=6x+11y
At(0,0)
P=0
At(0,38)
P=6(0)+11(38)=418
At (44,16)
P=6(44)+11(16)=440
At(52,0)
P=6(52)+11(0)=312
So, The company gets the best returns at(44,16)
So, 44 large houses and 16 small housed should be sold per month to obtain the best returns
