SOLUTION: A manufacturer produces both two-slice and four-slice toasters. The two-slice toaster takes 6 h of labor to produce and the four-slice toaster 10 h. The labor available is limite

Question 88017: A manufacturer produces both two-slice and four-slice toasters. The two-slice
toaster takes 6 h of labor to produce and the four-slice toaster 10 h. The labor available
is limited to 300 h per week, and the total production capacity is 40 toasters
per week. Write a system of inequalities representing this situation. Then, draw a
graph of the feasible region, given these conditions, in which x is the number of
two-slice toasters and y is the number of four-slice toasters.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A manufacturer produces both two-slice and four-slice toasters. The two-slice
toaster takes 6 h of labor to produce and the four-slice toaster 10 h. The labor available is limited to 300 h per week, and the total production capacity is 40 toasters per week. Write a system of inequalities representing this situation.
:
x = no. of 2-slice
y = no. of 4-slice
:
Labor equation:
6x + 10y =< 300
Arrange equation for graphing:
10y =< 300 - 6x
y =< (300/10) - (6/10)x
y =< 30 - .6x; graph this
:
Production equation
x + y =< 40
y =< 40 - x; graph this also
:
Then, draw a graph of the feasible region, given these conditions, in which x is the number of two-slice toasters and y is the number of four-slice toasters.
:

:
Feasibility region at or below both lines, which ever is lowest.
obviously only the positive region is considered
:
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