INTEGER LINEAR PROGRAMMING:

Please answer and explain both question, I will upvote. Thank you!

FORMULATE ILP MODEL (decision variables, objective function, and constraints) TO SATISFY THE OBJECTIVES OF THE PROBLEM.

Company X uses a single machine to process three jobs. The due dates and processing times are shown below. The due dates are measured from zero, the assumed start time of the first job. The objective of the problem is to determine the minimum late-penalty for processing the three jobs. The production planning department of a manufacturing company considers producing four products A,B,C and D, during the next production period. Each of the products shares four resourres in the amounte shown in Tahle 1 Assume that product B has a fixed cost of P2500 associated with its production. Products A and C are produced on two different machines that require a set-up cost of P1200 and P1100, respectively. Furthermore, product D can be produced only in a batch containing at least 500 units. Formulate and integer programming model