A contractor wishes to determine a suitable combination of manual labour and machine work for the excavation of a multistory construction. For every cubic meter of excavation, 3 man-hours are needed; or 0.2 machine-hour. Costs involved are Rs. 20 per man-hour and Rs. 500 per machine-hour. The total quantity of excavation is estimated to be 4,000 cubic meter. The optimal quantity of excavation to be done manually for minimum total cost will be
Answers
Answer:
The total machine-hour is 200 and the total cost is Rs. 100000 and the total man-hour is 1333.33......
We need more constraints to find optimal quantity of excavation to be done manually for minimum total cost
Step-by-step explanation:
For every cubic meter of excavation, 3 man-hours are needed
Costs involved are Rs. 20 per man-hour
=> Cost for every cubic meter of excavation manually = 3 * 20 = Rs 60
For every cubic meter of excavation, 0.2 machine-hour are needed
Costs involved are Rs. 500 per machine-hour.
=> Cost for every cubic meter of excavation machine = 0.2 * 500 = Rs 100
The total quantity of excavation is estimated to be 4,000 cubic meter.
We need more constraints to find optimal quantity of excavation to be done manually for minimum total cost
otherwise 100 % work will be done manually as Cost for every cubic meter of excavation manually is less than by machine
Constraints Can be available Man , available machines , number of days work to be finished
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