b) determine the maximum net profit that this company could generate in any mont

Question

b) determine the maximum net profit that this company could generate in any month.
c) during which month(s) is this maximum net profit attained?
d) during which month(s) does the net profit exactly equals $0 ?

11. (3 pts each) The total net profit for a certain company throughout the year can be modeled by the function. 11. 03 pts each) The total net proft for a certain company throughout the year can be modeled by the function PCt)-10,000 + 20,000 cost t , where P(t) is the total profit in dollars generated during month, with t- 0 corresponding to January through t -11 corresponding to December a) Find the total net profit for the month of February.

Explanation / Answer

P(t) = 10,000 + 20,000 cos [ pi/6 t - 11pi/6 ]

a) total net profit for month of february is plug t = 1

P(t) = 10000 + 20000 cos [ pi/6 (1) - 11pi/6 ]

P(t) = $ 20,000

b) maximum net profit jin any month = 10000 + 20000 = $ 30000

c) maximum net profit is attained in december

d) net profit is 0 in the month of april and august

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