
The plastic materials are supplied as follows:
Recycled: 15 tons per week
Virgin: 19 tons per week
Profit from the two types of crates are given as:
Standard Quality: $400/ton of crates
Premium Quality: $525/ton of crates
About 500 pieces of plastic crates weigh about one ton.
Maximum production capacity of the plant is 30 tons per week. Determine how much
of each quality of crates (in tons) should be manufactured to maximize profit.
Write the objective function and the constraints:
Let x
1
– tons of standard quality crates
x
2
– tons of premium quality crates
Maximize profit z = 400x
1
+ 525x
2
Constraints x
1
+ x
2
< 30 (production capacity constraints) ...