N 3-4
Using Linear Programming to Solve Problems – Day 1
1. Quality Bats Inc. manufactures two different quality wood baseball bats,
the Gold Star Bat and the Premium Bat.
a) Let x = ___________________; Let y = ________________________
b) Write an inequality to represent each constraint.
The Gold Star Bat takes 8 hours to trim
and lathe and the Premium Bat takes
5 hours to trim and lathe. The maximum
time for trimming and lathing
is 80 hours.
The Gold Star Bat takes 2 hours to finish
and the Premium Bat takes 5 hours to finish.
The maximum time for finishing is 50 hours.
x-int_________
y-int_________
x-int_________
y-int_________
c) Graph the system
of inequalities. This is called
the feasible region.
N 3-4
d) Find the corners.
The profit of the Gold Star Bat is $17
and the profit of the Premium Bat is $29.
P = _____________________
e) How many of each type of bat should be produced to have a maximum
profit? What is the maximum profit?
N 3-4
2. Mrs. Martinez’s Cookie Factory makes different-sized packages of
cookies that contain a combination of chocolate chip and peanut butter
cookies.
a) Let x = ___________________; Let y = ________________________
b) Write an inequality to represent each constraint.
Mrs. Martinez places at least 3 of
each type of cookie in each of the
combination packages.
_____________________
The largest package contains thirteen
cookies.
_____________________
_____________________
x-int_________
y-int_________
c) Graph the system
of inequalities.
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d) Find the corners.
The profit on a chocolate chip cookie
is 25 cents and the profit on a peanut
butter cookie is 26 cents.
P = _____________________
e) How many of each type of cookie should be produced to have a
maximum profit? What is the maximum profit?