Coding for linear optimization model -- 2

Job ID: 30715090

Budget: $250 – $750 USD

We need a tool and coding to solve an optimization model to arrange orders on a printing plate.
tool will be used on a windows server and input is given as text file, output should also be stored as text file.

We need an optimization for following problem:

We create printing plates. On each printing plate are 24 order positions (24 can be changed in basic parameters). These 24 positions can be arranged from one order or 24 different orders.
We have to find a solution to produce all given orders with given quantity.
We have to create the best arrangement of given orders to plates so that there are minimal costs.

Basic parameters:
Designs on each plate = 24
Costs/sheet = 0,7 EUR
Setup costs per plate = 70 EUR

Input:
ORDER ID
ORDER VOLUME

Restrictions:
Plate Sheets >=50

Target:
Min(setup costs x amount of plates + Total amount of all sheets of all plates x costs/sheet)

Output:
PLATE NO
PLATE SHEETS
ORDER ID
ORDER VOLUME
AMOUNT OF DESIGNS