College Algebra – Lesson 10.8a – Linear Programming
Ex3) A calculator company makes scientific and graphing calculators. There is a demand
for at least 100 scientific and 80 graphing calculators a day; however, due to materials,
no more than 200 scientific and 170 graphing calculators can be made daily. To satisfy a
shipping contract, at least 200 calculators must be shipped each day. If each scientific
calculators results in a loss of $2, but each graphing calculator gains a profit of $5, how
many of each type should be made to maximize profit?
Ex4) A retired couple has up to $25,000 to invest. Their financial adviser recommends
they place at least $15,000 in Treasury bills yielding 6% and at most $5,000 in
corporate bonds yielding 9%. How much money should be placed in each investment
so that income is maximized?
Linear Programming Steps
1) Write a system of constraints and the objective function.
2) Graph the constraints to find the corner points.
3) Plug the corner points into the objective function to see what values maximize/minimize it.
College Algebra – Lesson 10.8a – Linear Programming
Ex3) A calculator company makes scientific and graphing calculators. There is a demand
for at least 100 scientific and 80 graphing calculators a day; however, due to materials,
no more than 200 scientific and 170 graphing calculators can be made daily. To satisfy a
shipping contract, at least 200 calculators must be shipped each day. If each scientific
calculators results in a loss of $2, but each graphing calculator gains a profit of $5, how
many of each type should be made to maximize profit?
Ex4) A retired couple has up to $25,000 to invest. Their financial adviser recommends
they place at least $15,000 in Treasury bills yielding 6% and at most $5,000 in
corporate bonds yielding 9%. How much money should be placed in each investment
so that income is maximized?
Linear Programming Steps
1) Write a system of constraints and the objective function.
2) Graph the constraints to find the corner points.
3) Plug the corner points into the objective function to see what values maximize/minimize it.