67) y = f(x)=(2x–7)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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question 67 only

follows:
C(q) =10,000,000+500q+0.04q² &
R(q) = 2,500q – 0.01q²
%3D
a. Using the marginal approach, determine the profit-maximizing level of output q'.
b. What is the maximum profit?
Optimum & Inflection Points (62-67) - Draw the graphs of the following functions and/or
relations and identify the locations of the optimum and the inflection points using the 1st and the
2nd derivatives.
62) y = f(x)= / 4x – 10 = (4x–10)½s
Relation only
-
3
63) y = f(x)=
1- x
Relation and Function, both
64) y = f(x)=(2x-7)*
Relation and Function, both
65) y = f(x)= /10-4x = (10-–4x)½
Relation only
x²
66) y = f(x)=
1- x
2
Relation and Function, both
67) y = f(x)=(2x-7)°
3.
Relation and Function, both
68) Cost Minimization - The cost function of purchasing, owning and maintaining inventory
annually for a firm's product is C = f(q)=(4,860/q)+15q +75,000 where C denotes annual
inventory cost in dollars, and q equals the number of units of products ordered each time the
firm replenishes the inventory.
%3D
%D
a. Determine the ordo
Transcribed Image Text:follows: C(q) =10,000,000+500q+0.04q² & R(q) = 2,500q – 0.01q² %3D a. Using the marginal approach, determine the profit-maximizing level of output q'. b. What is the maximum profit? Optimum & Inflection Points (62-67) - Draw the graphs of the following functions and/or relations and identify the locations of the optimum and the inflection points using the 1st and the 2nd derivatives. 62) y = f(x)= / 4x – 10 = (4x–10)½s Relation only - 3 63) y = f(x)= 1- x Relation and Function, both 64) y = f(x)=(2x-7)* Relation and Function, both 65) y = f(x)= /10-4x = (10-–4x)½ Relation only x² 66) y = f(x)= 1- x 2 Relation and Function, both 67) y = f(x)=(2x-7)° 3. Relation and Function, both 68) Cost Minimization - The cost function of purchasing, owning and maintaining inventory annually for a firm's product is C = f(q)=(4,860/q)+15q +75,000 where C denotes annual inventory cost in dollars, and q equals the number of units of products ordered each time the firm replenishes the inventory. %3D %D a. Determine the ordo
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