Algebra 2: Applications of Linear Programming
Name_________________________________________
1. The area of a parking lot is 600 square meters. A car requires 6 square meters. A bus requires
30 square meters. The attendant can handle only 60 vehicles. If a car is charged $2,50 and a
bus $7,50, how many of each should be accepted to maximize income?
Let x be number of cars,
y be number of buses.
6x + 30y ≤ 600
x + y ≤ 60
f(x,y) = $2.50x + $7.50y
2. Machine A can produce 30 steering wheels per hour at a cost of $16 per hour. Machine B can
produce 40 steering wheels per hour at a cost of $22 per hour. At least 360 steering wheels
must be made in each 8-hour shift. What is the least cost involved in making 360 steering
wheels, if maintenance of the machines limits their use to no more than 8 consecutive hours?
Let x be time Machine A runs,
y be time Machine B runs.
x≤8
y≤8
30x + 40y ≤ 360
f(x,y)= 16x + 22y