A furniture maker has an order for 94 identical tables If th

A furniture maker has an order for 94 identical tables. If the furniture maker estimates his learning curve at 87% and can reach steady production of 7 hours per table on the 7th table, how long should it take to make all the tables? Express your answer in hours to the nearest whole hour.

Answer is 666

Solution

The equation to be followed is y = aX^b

Since, we are at 87% of the curve,

b = log ( 0.87) / log (2)

= -0.2

7th unit onwards, the steady rate is reached.

Thus,

7 = a (7^-02 )

a = 10.33 is the time taken to make the first unit

Further, the next 88 tables take 7 hours each:

So,

88 * 7 = 616

Total time taken = 616 + 50.14 = 666.14 hours

which is rounded off to 666 hours.

Hope this helps.