Question #312360

a machine starts production of matchboxes at the rate of 12000 per hour. The rate of production decreases by 40% every hour. Calculate the total nimber of matchboxes produced in first 2 hours


1
Expert's answer
2022-03-17T06:21:25-0400

Solution

P0=12,000P_0=12,000

r=40%=0.4r=-40\%=-0.4


P=P0(1r)tP=P_0(1-r)^t


P=12,000(10.4)2P=12,000(1-0.4)^2


P=12,000(0.36)P=12,000(0.36)


P=4,320P=4,320



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