The minimum labor in employee hours.
Answer to Problem 40E
The minimum labor is 840 and factory X should operate for 1 hour and Y for 9 hours.
Explanation of Solution
Given information:
The manufacturer has two different factories that produce three grades of steel structural steel, rail steel, pipe steel. They must produce 32 tons of structural, 26 metric tons of rail, 30 metric tons of pipe steel to fill an order.
Formula used:
x be the number of hours factory X operates and y be the number of hours factory Y operates.
Calculation:
Let x be the number of hours factory X operates and y be the number of hours factory Y operates.
Consider the constraints,
The labor L is given by
We have to determine the minimum labor.
The below graph shows the feasible region
Now, evaluate the objective function at the comer point to find the minimum value.
At
Hence, the minimum labor is 840 and factory X should operate for 1 hour and Y for 9 hours.
Conclusion:
The minimum labor is 840 and factory X should operate for 1 hour and Y for 9 hours.
Chapter 7 Solutions
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