Chapter 7 - Linear programming
Here are a few Linear Programming problems you can practice on.
1. The Wellbuilt Company
produces two types of woodchippers, Economy and Deluxe.
The Deluxe model requires 3 hours to assemble and ½ hour to paint.
Economy requires 2 hours to assemble and 1 hour to paint.
They have 24 assembly hours per day (max) and 8 painting hours.
Deluxe has $15 profit each, and Economy yields $12.
2. A company
manufactures bumper bolts and fender bolts.
One machine makes 130 fender bolts per hour and the other
makes 120 bumper bolts per hour.
Packaging can handle a total of 230 bolts per hour.
Maximize sales if fender bolts sell for $1 and bumper bolts
sell for $2
3. A natural
habitat at a zoo contains a feeding area for two species, I and
II. Each days it gets 120
lbs of food A, 110 lbs of food B and 57 lbs of food C.
Each individual of Species I requires 5 lbs of A, 5 lbs
of B and 2 lbs of C. Those of Species II need 6 of A, 4 of B and
3 of C. Maximize the total number of animals.