4. - [10 points) Each day Eastinghouse produces capacitors during three shifts: 8:00-16:00, 16:00-24:00, 24:00-8:00. The hourly salary paid to the employees on each shift, the selling price charged for each capacitor made during each shift, and the number of defects in each capacitor produced during a given shift are shown in the table below: Shift Hourly salary ($/hour) Defects/capacitator Price ($/capacitator) 8:00-16:00 12 18 16:00-24:00 16 3 22 24:00-8:00 20 2 24 Other relevant information is given below. Formulate an LP to maximize Eastinghouse's daily profit. A capacitor with any number of defects can be sold as new. Defects only shorten the lifetime of a capacitor. Each of the company's 25 workers can be assigned to one of the three shifts. A worker produces 10 capacitors during a shift, but because of machinery limitations, no more than 10 workers can be assigned to any shift. Each day, at most 250 capacitors can be sold. Average number of defects per capacitor for the day's production cannot exceed three. (a) [1 point] Which OR problem is this? (b) [1 point] Decision variables? (c) (3 points) Objective and objective function? (d) [5 points) Constraints