Both companies charge the same amount when the total....

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Both companies charge the same amount when the total....

Postby eddy2021 » Tue Jun 22, 2021 5:21 pm

Two companies offer monthly cell phone plans, both of which include free text messaging. Company A charges a \$25 monthly fee plus five cents per minute of phone conversation, while Company B charges a \$50 monthly fee and offers unlimited calling. Both companies charge the same amount when the total duration of monthly calls is
choices
8 hours and 33 minutes
5 hours
500 hours
8 hours and 20 minutes
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Re: both companies charge the same amount when the total....

Postby Guest » Thu Jul 22, 2021 4:21 am

Ans) For company A Cost function is C 1 (x) = $ (25 + 0.05x), (where x is the duration of monthly calls
in minutes.
For Company B Cost function is C 2 (x) = $ 50
Both companies will charge the Same amount for C 1 (x) = C 2 (x)
Thus, 25 + 0.05x = 50
 X = 25/0.05 = 500 minutes = 8 hours 20 minutes
Hence, both companies charge the same amount when the total duration of monthly calls is 8
hours 20 minutes.
Guest
 

Re: both companies charge the same amount when the total....

Postby rolflares » Thu Jul 22, 2021 4:23 am

Ans) For company A Cost function is C 1 (x) = $ (25 + 0.05x), (where x is the duration of monthly calls
in minutes.
For Company B Cost function is C 2 (x) = $ 50
Both companies will charge the Same amount for C 1 (x) = C 2 (x)
Thus, 25 + 0.05x = 50
 X = 25/0.05 = 500 minutes = 8 hours 20 minutes
Hence, both companies charge the same amount when the total duration of monthly calls is 8
hours 20 minutes.

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