# Math Help - Linear Programming Help NZ Year 13 Homework, Please Help!

1. ## Linear Programming Help NZ Year 13 Homework, Please Help!

A retailer for a music shop buys CD's and DVDs packed in cartons. The cost of a carton of CD's is $75 and the cost of a carton of DVDs is$200. He can only afford to spend up to \$30 000 on buying these CD's and DVDs and has room for only 200 cartons
Use the following constraints and draw the graphs to find the feasible region.
75c + 200d < 30,000
c + d < 200
c ≥ 0
d ≥ 0
Need help on graphing this please?? Thanks!

2. ## Re: Linear Programming Help NZ Year 13 Homework, Please Help!

These contraints look good.

Now set up a 2-D plane with variables c & d instead of the traditional x & y then find the axis intercepts for the first 2 and limit the plane to the first quadrant will satisfy the 3rd and 4th constraints.