For a manufacturer of cameras and film, the total cost c of producing qc cameras and q units of film is given by 30qc +0.015qc9F +9F +900 The demand functions for the cameras and film are given

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14. Please answer question. Show work clearly.

For a manufacturer of cameras and film, the total cost c
of producing qc cameras and q units of film is given by
c = 30qc +0.015qcqF+qF+900
The demand functions for the cameras and film are given
by
9c
=
9000 and af
F
PC√PF
=
2000 - PC-400PF
where pc is the price per camera and p is the price per
unit of film. Find the rate of change of total cost with
respect to the price of the camera when pc = 50 and
PF 2.
Transcribed Image Text:For a manufacturer of cameras and film, the total cost c of producing qc cameras and q units of film is given by c = 30qc +0.015qcqF+qF+900 The demand functions for the cameras and film are given by 9c = 9000 and af F PC√PF = 2000 - PC-400PF where pc is the price per camera and p is the price per unit of film. Find the rate of change of total cost with respect to the price of the camera when pc = 50 and PF 2.
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