Question

Two types of bullets are produced in an arms factory; tracer-bullet and maneuver bullet. One tracer-bullet provides 4 units of profit while the maneuver bullet provides 5 units of profit to the company. One tracer-bullet requires 1 hour and 4 grams of chemical; one maneuver bullet requires 2 hours and 3 grams of chemical to produce one bullet. The total labor time of one week is 40 hours. Since the factory has 120 grams of chemicals, build the preemptive goal programming model that satisfies the following objectives.

(a) Working time must be used exactly as possible.

(b) The weekly profit must be 160 units at least.

(c) Chemical cannot be used more than 120 grams.

(d) If overtime is compulsory, it should not exceed 10 hours.

(e) 30 tracer-bullets and 20 maneuver bullets should be produced weekly.

Answer 1