- 4.5.1: For each cost function in Figure 4.62, is there a value of q at whi...
- 4.5.2: Figure 4.63 shows cost with q = 10,000 marked. (a) Find the average...
- 4.5.3: The graph of a cost function is given in Figure 4.64. (a) At q = 25...
- 4.5.4: The cost of producing q items is C(q) = 2500+12q dollars. (a) What ...
- 4.5.5: The cost function is C(q) = 1000+20q. Find the marginal cost to pro...
- 4.5.6: Graph the average cost function corresponding to the total cost fun...
- 4.5.7: The total cost of production, in thousands of dollars, is C(q) = q3...
- 4.5.8: You are the manager of a firm that produces slippers that sell for ...
- 4.5.9: The average cost per item to produce q items is given by a(q) = 0.0...
- 4.5.10: The marginal cost at a production level of 2000 units of an item is...
- 4.5.11: An agricultural worker in Uganda is planting clover to increase the...
- 4.5.12: A developer has recently purchased a laundromat and an adjacent fac...
- 4.5.13: Show analytically that if marginal cost is less than average cost, ...
- 4.5.14: Show analytically that if marginal cost is greater than average cos...
- 4.5.15: A reasonably realisticmodel of a firms costs is given by the short-...
Solutions for Chapter 4.5: AVERAGE COST
Full solutions for Applied Calculus | 5th Edition
Addition principle of probability.
P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)
artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers
Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.
A relation that associates each value in the domain with exactly one value in the range.
The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.
Side opposite the right angle in a right triangle.
Imaginary part of a complex number
See Complex number.
Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.
Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large
A graph of data in which consecutive data points are connected by line segments
Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)
Multiplicative inverse of a matrix
See Inverse of a matrix
Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.
A distribution of data shaped like the normal curve.
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.
Product of complex numbers
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
Quotient of functions
a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0
Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>
Vertex of a cone
See Right circular cone.
Vertical line test
A test for determining whether a graph is a function.
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