SOLUTION: I dont know how to work out this problem- You are stenciling wooden boxes to sell at a fair. It takes you 2 hours to stencil a small box and 3 hours to stencil a large box. You ma

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Question 167480This question is from textbook Algebra 2
: I dont know how to work out this problem-
You are stenciling wooden boxes to sell at a fair. It takes you 2 hours to stencil a small box and 3 hours to stencil a large box. You make a profit of $10 for a small box, and $20 for a large box. If you have no more than 30 hours available to stencil and want atleast 12 boxes to sell how many of each box should you stencil to maximize your profit ?
a) Identify your variables. If x = small boxes, what does y=______ ?
b) What is the objective function (profit) ?
C=_____x+______y
c)What are the constraints ?
x+y_____12(boxes)
_____x+_____y <_ _____hours
d) Graph your constraints to find the feasible region.
e) How many of each size box should you stencil to maximize your profit ?
This question is from textbook Algebra 2

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
You are stenciling wooden boxes to sell at a fair. It takes you 2 hours to stencil a small box and 3 hours to stencil a large box. You make a profit of $10 for a small box, and $20 for a large box. If you have no more than 30 hours available to stencil and want atleast 12 boxes to sell how many of each box should you stencil to maximize your profit ?
a) Identify your variables. If x = small boxes, what does y=large box
b) What is the objective function (profit)
C=10x+20y
c)What are the constraints ?
(boxes)

d) Graph your constraints to find the feasible region.
e) How many of each size box should you stencil to maximize your
2 equations together
:
you need to plot these 2 lines....my graph isnt working


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