Graphing Linear Equations, Word Problem
A factory assembles two types of motors, small and large.
The cost of material is $15 for a small motor, and $30 for a large motor.
Two hours of labor are needed to assemble a small motor and six hours for a large.
The cost of labor is $8/hour.
The owner can allocate at most $1500/day for material and $2000/day for labor.
Find the largest daily profit that the owner can make if the small motors are sold for $40 each and the large motors for $104 each. Assume every motor produced is sold.
So far I have :
x=small motors y=large motors
x > 0
y > 0
15x+30y < 1500
y < -1/2x+50
Currently I'm stumped on the part of the equation that would determine the cost of labor.