how many employees should be at work to produce at maximum capacity (calculus)?

Question

The amount of baked beans produced in a factry in kilograms on a particular day is given by

B=(54n^2-n^3)/10 where n is the number of employees at work in the factory.

a) find dB/dn

b) how many emploees should be at work to produce at maximum capacity

Julius N · Answer

dB/dn =  -0.3*n2+10.8*n

n= 36
(54n^2-n^3)/10= 2332.8

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