Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker systems in the first year of production will be represented by the following function, where R(x) is the revenue function in dollars and x denotes the quantity demanded. Find the following functions (in dollars) and compute the values (in dollars). C(x) = 170x + 46,000    and    R(x) = −0.04x2 + 800x   Find the profit function P.   P(x)=   Find the marginal profit function P' P'(x)=   Compute the following values. P'(3,300)=   P'(10,000)=

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Marginal Profit for Producing Loudspeakers

 Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker systems in the first year of production will be represented by the following function, where R(x) is the revenue function in dollars and x denotes the quantity demanded. Find the following functions (in dollars) and compute the values (in dollars).

C(x) = 170x + 46,000    and    R(x) = −0.04x2 + 800x
 
Find the profit function P.  
P(x)=
 
Find the marginal profit function P'
P'(x)=
 
Compute the following values.
P'(3,300)=
 
P'(10,000)=
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