# The fixed costs where cost function is C(x)=42.5x+80,00

Question
Upper level algebra
The fixed costs where cost function is C(x)=42.5x+80,00

2021-01-20
Given:
The total cost (in dollars) of producing x college algebra books is C(x) = 42.5x + 80,000.
Explanation:
The given cost function is a linear cost function of the form C(x) = mx + b,
Where b represents the fixed cost, x is the number of items and m represents the marginal cost.
So on comparison with the generalized cost function, the fixed cost is $$\80, 000$$.

### Relevant Questions

The cost function for a certain commodity is $$\displaystyle{C}{\left({x}\right)}={84}+{0.16}{x}-{0.0006}{x}^{{{2}}}+{0.000003}{x}^{{{3}}}$$
(a.)Find and interpret C'(100).
(b.) Compare C'(100) with the cost of producing the 101st item(C'(101)).
Dayton Power and Light, Inc., has a power plant on the Miami Riverwhere the river is 800 ft wide. To lay a new cable from the plantto a location in the city 2 mi downstream on the opposite sidecosts $180 per foot across the river and$100 per foot along theland.
(a) Suppose that the cable goes from the plant to a point Q on theopposite side that is x ft from the point P directly opposite theplant. Write a function C(x) that gives the cost of laying thecable in terms of the distance x.
(b) Generate a table of values to determin if the least expensivelocation for point Q is less than 2000 ft or greater than 2000 ftfrom point P.
Find the x- and y-intercepts of the equation.
$$\displaystyle-{5}{x}+{8}{y}={80}$$
To write a function f describing the average cost of sealable books.
Given information:
The printing and binding cost for a college algebra book is $10. The editorial cost is$200,000. The first 2500 books are free.
To write a function f describing cost of sealable books.
The printing and binding cost for a college algebra book is $$\10$$.The editorial cost is $$\200,000$$. The first 2500 books are free.
Consider the curves in the first quadrant that have equationsy=Aexp(7x), where A is a positive constant. Different valuesof A give different curves. The curves form a family,F. Let P=(6,6). Let C be the number of the family Fthat goes through P.
A. Let y=f(x) be the equation of C. Find f(x).
B. Find the slope at P of the tangent to C.
C. A curve D is a perpendicular to C at P. What is the slope of thetangent to D at the point P?
D. Give a formula g(y) for the slope at (x,y) of the member of Fthat goes through (x,y). The formula should not involve A orx.
E. A curve which at each of its points is perpendicular to themember of the family F that goes through that point is called anorthogonal trajectory of F. Each orthogonal trajectory to Fsatisfies the differential equation dy/dx = -1/g(y), where g(y) isthe answer to part D.
Find a function of h(y) such that x=h(y) is the equation of theorthogonal trajectory to F that passes through the point P.
To find the lowest original score that will result in an A if the professor uses
$$(i)(f*g)(x)\ and\ (ii)(g*f)(x)$$.
Professor Harsh gave a test to his college algebra class and nobody got more than 80 points (out of 100) on the test.
One problem worth 8 points had insufficient data, so nobody could solve that problem.
a. Increasing everyone's score by 10% and
b. Giving everyone 8 bonus points
c. x represents the original score of a student
To calculate:To check if(f*g)(x)=(g*f)(x). Professor Harsh gave a test to his college algebra class and nobody got more than 80 points (out of 100) on the test. One problem worth 8 points had insufficient data, so nobody could solve that problem.
a. Increasing everyone's score by 10% and
b. Giving everyone 8 bonus points
c. x represents the original score of a student
To calculate:To evaluate $$(f*g)(70)\ and\ (g*f)(70)$$.
Professor Harsh gave a test to his college algebra class and nobody got more than 80 points (out of 100) on the test.
One problem worth 8 points had insufficient data, so nobody could solve that problem.