Problem

Each day Eastinghouse produces capacitors during three shifts: 8 a.m.–4 p.m., 4 p.m.–midni...

Each day Eastinghouse produces capacitors during three shifts: 8 a.m.–4 p.m., 4 p.m.–midnight, midnight–8 a.m. The hourly salary paid to the employees on each shift, the 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 Table 63. Each of the company’s 25 workers can be assigned to one of the three shifts. A worker products 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, and the average number of defects per capacitor for the day’s production cannot exceed three. Formulate an LP to maximize Eastinghouse’s daily profit (sales revenue – labor cost).

table 63

Shift

Hourly Salary

Defects (per Capacitor)

Price

8 a.m.–4 p.m.

$12

4

$18

4 p.m.–Midnight

$16

3

$22

Midnight–8 a.m.

$20

2

$24

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