Pls help me formulate a linear programming model for this problem. Pls state the
ID: 408369 • Letter: P
Question
Pls help me formulate a linear programming model for this problem. Pls state the following respectively:
1. Decision Variables
2. Objective function
3. Constraints
Pls. Make the solution neat, organized, and student friendly :)
58* To process income tax forms, the IRS first sends each form through the data preparation (DP) department, where information is coded for computer entry. Then the form is sent to data entry (DE), where it is entered into the computer During the next three weeks, the following number of forms will arrive: week 1, 40,000; week 2, 30,000; week 3, 60,000 The IRS meets the crunch by hiring employees who work 40 hours per week and are paid $200 per week. Data preparation of a form requires 15 minutes, and data entry of a form requires 10 minutes. Each week, an employee is assigned to either data entry or data preparation. The IRS must complete processing of all forms by the end of week and wants to minimize the cost of accomplishing this goal. Formulate an LP that will determine how many workers should be working each week and how the workers should be assigned over the next five weeksExplanation / Answer
Decision variables: a,b,c,d,e,f. Where,
a, b : first month's new and used generator quantities respectively
c,d : second month's new and used generator quantities respectively
e,f : third month's new and used generator quantities respectively
Objective function : Minimize {400 (a+c+e) + 250 (b+d+f)}
Constarints:
a,b,c,d,e,f>=0
a+b=100
c+d=150
e+f=200
Since 120 used generators are in stock they need to be rebuilt and they can used after a month i.e. in 2nd month hence,
d<=120
similarly, the generators from the month 1, will be used in third month, hence,
f<=100