A small firm makes three products, which all follow the samethree-step process, which consists of milling, inspection, anddrilling. Product A requires 6 minutes of milling, 5 minutes ofinspection, and 4 minutes of drilling; product B requires 2.5minutes of milling, 2 minutes of inspection, and 2 minutes ofdrilling; and product C requires 5 minutes of milling, 4 minutes ofinspection, and 8 minutes of drilling. The department has 20 hoursavailable during the next period for milling, 15 hours forinspection, and 24 hours for drilling. Product A contributes $6.00per unit to profit, product B contributes $4.00 per unit, andproduct C contributes $10.00 per unit. The following is the outputmaximizing profits for the next period: PROBLEM TITLE: LINEARPROGRAMMING PROBLEM IS A MAX WITH 3 VARIABLES AND 3 CONSTRAINTS.Row X1 X2 X3 Cost 6.00 4.00 10.00 1 6.00 2.50 5.00 1,200.00 2 5.002.00 4.00 900.00 3 4.00 2.00 8.00 1,440.00 NUMBER OF ITERATIONS: 2OPTIMAL SOLUTION: OBJECTIVE FUNCTION VALUE = 2,070 DECISIONVARIABLE SECTION: Variable Status Value Reduced Cost X1 Non-basic 03.5 X2 Basic 180 0 X3 Basic 135 0 SLACK VARIABLES SECTION: SlackStatus Value Shadow Price X4 Basic 75 0 X5 Non-basic 0 1.5 X6Non-basic 0 .5
What would the objective function value be if 3 more units ofeach X4, X5, and X6 were added assuming they are within the rangeof optimality?
