SOLUTION: Tim works at a bakery and can prepare a birthday cake in 4 hours or less. It takes him 5 hours or less to prepare a wedding cake. If Tim works a 40-hour week , and if he must bake

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Question 149684: Tim works at a bakery and can prepare a birthday cake in 4 hours or less. It takes him 5 hours or less to prepare a wedding cake. If Tim works a 40-hour week , and if he must bake more birthday cakes than wedding cakes, what would the graph look like of the number of each type of cake time can bake per week.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Tim works at a bakery and can prepare a birthday cake in 4 hours or less. It takes him 5 hours or less to prepare a wedding cake. If Tim works a 40-hour week , and if he must bake more birthday cakes than wedding cakes, what would the graph look like of the number of each type of cake time can bake per week.
:
Let x = no. of b. cakes
Let y = no. of w. cakes
:
b.cake hrs + w.cake hrs = 40 hrs
:
4x + 5y = 40
5y = 40 - 4x
y = 40%2F5 - 4%2F5x
y = 8 - .8x
:
Plot this from x=0 to x=10
Two points could be
x = 5; y = 8 - .8(5); y = 4
and
x = 10; y = 8 -.8(10); y = 0
:
Should look like this
+graph%28+300%2C+200%2C+-4%2C+12%2C+-4%2C+12%2C+8-.8x%29+
Now it said he has to make more b. cakes (x) than w.cakes (y)
another graph for this;
y < x (green)
:
now the graph looks like this:
+graph%28+300%2C+200%2C+-4%2C+12%2C+-4%2C+12%2C+8-.8x%2C+x%29+
The area of feasibility would be bounded by:
at or below the purple line
to the right of the green line
;
did this make sense to you?