12. The weekly demand for the LectroCopy photocopying machine is given by the equation p= 2000 - 0.04x dollars and x denotes the quantity demanded. The weekly total cost to manufacture these copiers is given by C(x) = 0.000002.x -0.02x² + 1000x + 120,000 where C(x) denotes the total cost in producing x units. (1 < x < 50,000) where p denotes the wholesale unit price in %3D %3D a. Find the Average Cost Function C(x), Revenue Function R(x), and Profit Function P (x). b. Find the marginal Average Cost Function, the marginal Revenue Function and the Marginal Price Function. c. Compute C'(3000), R'(3000), and P'(3000) and interpret their meanings.

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The weekly demand for the LectroCopy photocopying machine is given by the equation p=2000-.04x where P debates the wholesale unit price

 

12. The weekly demand for the LectroCopy photocopying machine is given by the equation
p= 2000 - 0.04x
dollars and x denotes the quantity demanded. The weekly total cost to manufacture these
copiers is given by C(x) = 0.000002.x -0.02x² + 1000x + 120,000 where C(x)
denotes the total cost in producing x units.
(1 < x < 50,000) where p denotes the wholesale unit price in
%3D
%3D
a. Find the Average Cost Function C(x), Revenue Function R(x), and Profit Function P
(x).
b. Find the marginal Average Cost Function, the marginal Revenue Function and the
Marginal Price Function.
c. Compute C'(3000), R'(3000), and P'(3000) and interpret their meanings.
Transcribed Image Text:12. The weekly demand for the LectroCopy photocopying machine is given by the equation p= 2000 - 0.04x dollars and x denotes the quantity demanded. The weekly total cost to manufacture these copiers is given by C(x) = 0.000002.x -0.02x² + 1000x + 120,000 where C(x) denotes the total cost in producing x units. (1 < x < 50,000) where p denotes the wholesale unit price in %3D %3D a. Find the Average Cost Function C(x), Revenue Function R(x), and Profit Function P (x). b. Find the marginal Average Cost Function, the marginal Revenue Function and the Marginal Price Function. c. Compute C'(3000), R'(3000), and P'(3000) and interpret their meanings.
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