Question

total revenue and total cost functions for the production and sale of xTV's are given as

R(x)=130x−0.7x2

and

C(x)=3950+21x.

(A) Find the value of x where the graph of R(x)R(x) has a horizontal tangent line. xvalues is

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(B) Find the profit function in terms of x.
P(x)=

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(C) Find the value of xx where the graph of P(x) has a horizontal tangent line.
x values =

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(D) List all the xx values of the break-even point(s).
If there are no break-even points, enter 'NONE'.
List of xvalues =

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Answer 1

Given revenue function and cost functions are

(A) The value of x at which R(x) has horizontal tangent line is the value of x at which R'(x)=0

(B) Profit function is

(C)The value of x at which P(x) has horizontal tangent line is the value of x at which P'(x)=0

(D) Break-even point is those at which profit is zero.