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To Find: The number of day-shifts and night-shifts to minimize the cost.
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Answer to Problem 26PPS
The theatre should schedule 8 day shift and 6 night shifts.
Explanation of Solution
Given information :
Employees work hour shift at theatre: 8-hour shift.
Time | 12 P.M to 4 P.M. | 4 P.M. to 8 P.M. | 8 P.M to 12 A.M |
Number of Employees Needed | At least 5 | At least 14 | 6 |
Rate per hour | $5.50 | $7.50 | $7.50 |
Suppose x be the number of day shift and y be the number of night shift workers.
Then, the optimizing function is written as follows:
The constraints are:
The graph is shown below:
The vertices of the feasible region are (5,9), and (8,6). The table is created as shown below:
The minimal cost is 776 dollars. Therefore, the theatre should schedule 8 day shift and 6 night shifts.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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