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In: Economics

Question A project management consultant estimated that if a particular project was completed, t years after    ...

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  1. A project management consultant estimated that if a particular project was completed, t years after     completion, N thousand persons would benefit directly from the project, where

                                  N (t) = t3/3 -4.5t2 + 16t,   0 ≤ t  10

      For what value of t, will the largest number of people receive direct benefits?

  1. A clothing manufacturer makes trousers, skirts and blouses. Each trousers requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packing time.

The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer’s Rule, determine how many of each type of clothing should be made to use all available labour hour.

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