SOLUTION: Hi, thanks for your time here is the question- Teresa Sanchez sells two sizes of outdoor doghouses: large and small. The large size requires 12 board-feet of lumber and take

Question 200095: Hi, thanks for your time here is the question-
Teresa Sanchez sells two sizes of outdoor doghouses: large and small. The
large size requires 12 board-feet of lumber and takes 3 hours to build. The
small size requires 8 board-feet of lumber and takes 1 hour to build. Teresa
can use 48 board-feet of lumber each day and plans to spend at most 9 hours
per day building dog houses.
3. Model the situation above. Your algebraic model should be a system of
four inequalities. (Remember that Teresa cannot build a negative number
of dog houses.)
We were thinking that two of the inequalities would be 2l + 8s less or equal to 48 and 3l + s less or equal to 9 -but have no idea what the other two would be
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The large size requires 12 board-feet of lumber and takes 3 hours to build.
The small size requires 8 board-feet of lumber and takes 1 hour to build.
Teresa can use 48 board-feet of lumber each day and plans to spend at most
9 hours per day building dog houses.
:
3. Model the situation above. Your algebraic model should be a system of
four inequalities.
:
Let L = no. of large dog houses
Let S = no. of small dog houses
:
The material (amt of lumber) inequality
12L + 8S =< 48
:
The labor (no. of hrs worked) inequality
3L + 1S =< 9
:
They want ensure there will be no negative values, therefore:
L => 0
S => 0
:
A total of 4 inequalities

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