to produce x t-shirts costs C(x)=4x+55 revenue is R(x)=18x where C(x) and R(x) are in dollars. a) how many t-shirts do they have to produce and sell to break even? b) How many t-shirts needed to be produced and sold in order to make a profit of 1000? c) what is the fixed cost?

to produce x t-shirts costs C(x)=4x+55 revenue is R(x)=18x where C(x) and R(x) are in dollars. a) how many t-shirts do they have to produce and sell to break even? b) How many t-shirts needed to be produced and sold in order to make a profit of 1000? c) what is the fixed cost?

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.CR: Review Problem Set

Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...

See similar textbooks

Related questions

Q: The curve y = [In (x + 4)]² has horizontal tangent line at the point(s)

Q: Calculate the volume of the solid of revolution (or show why it does not exist) obtained by rotating...

A: We have to calculate volume of solid of revolution obtaining by the rotating the function.

Q: Find the area of the sector of the circle. r= 28.35 ft, 0=24.401° O A. 345.28 ft2 O B. 171.14 f? O C...

A: We can find the area of the sector as below.

Q: Which of the following equations is a variable separable DE? Select one: O a. (x + y)dx – 2ydy = 0 O...

Q: Evaluate the integral: J 26x2 dx V64-x2

A: This question can be solved using the concept of some special integrals.

Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain w...

Q: Complete the square: 2? + 3z+ = (x+ 22 – 5x+ = (r- = (x+ %3D

A: Given that:

Q: The orthogonal trajectory for x^ 2 =ce^ x^ 2 +y^ 2 is

A: Orthogonal trajectory

Q: A forester wants to measure a tree's height. Assuming that the tree is at a right angle to the plane...

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 27. 3 -1 -2

A: Find your answer below

Q: nd the limit of the following functions. Identify poi 1) lim y→-2 7y3 + 5y2 – 16 у3 — 8

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: If y= 4sqrt(9x^3+10), then y'=

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: The temperature of a metal ingot is 60°C above room temperature right now. Twenty minutes ago, 75°C ...

A: This question is based on Newton's law of cooling.

Q: 6. a. Show that the vector à = (1, 12, –29) can be written as a linear combination of b = (3, 1, 4) ...

A: Here we have to show that the vector a=(1,12,-29) can be written as a linear combination of b=(3,1,4...

Q: Let f(x) = (cosh x)² be defined on (0, 0), find %3D d 1/2) . dy

Q: 52-56 Find the limits as x → ∞ and as x → 0o. Use this infor- mation, together with intercepts, to g...

Q: 5e2x dx e2x + 11e* + 24 + 11e* + 24

Q: 6x° + 8x² + 45x +36 Consider the indefinite integral 2' + 9x2 Then the integrand has partial fractio...

Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

Q: #9 all

A: 1)Find the tangent of the curve y= 3+4x2-2x3 at x=a. 2) find the equation of tangent line at point (...

Q: S(s – 3)(2s + 9)ds

A: Evaluate the integral

Q: Evaluate the integral. sin 8x cos 9x dx

A: Given that ∫sin8xcos9xdxSolution : 2sinAcosB=sinA+B+sinA-B12∫2sin8xcos9xdx12∫sin8x+9x+sin8x-9xdx12∫s...

Q: Σ e is true? Let z be a real number. Which of the following statements about the infinite series

A: Given that x be a real number then our aim is to tell which statement given below is relevant with t...

Q: The region in the first quadrant bounded by Y = -3x + 6, the x-axis and the Y-axis is rotated around...

Q: How much work is done raising a 6 kg mass to a height of 18 m above the ground? (Use decimal notatio...

Q: Solve the equation for 0 <0 < 2T -1 = sin 0

Q: Given the function P(n)=(n−7)(n+6)(n−3): the coordinates of its P-intercept are the coordinates o...

A: To find out the coordinates of P- intercepts and n-intercepts.

Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x

Q: Find the angle of least positive measure (in degrees, not equal to the given measure) that is coterm...

A: The objective of the question is determine the least positive coterminal angle with A.

Q: Given the polynomial P(z) = -9z - 9z² – 5z – 20 and divisor d(z) = -3z + 2, find the quotient Q(z) a...

Q: Choose a correct equation for the graph shown below. O A. y = 5 sin (3x) B. y = 10 sin C. y = 5 cos ...

A: We have to choose the equation for the graph .

Q: In two or more complete sentences describe how to determine if the function f (x) = cos(x) is even b...

Q: 8. In triangle ABC, the point D is the midpoint of BC and E the midpoint of AC Vectors are marked as...

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C r...

Q: Suppose that f(t) =t +t-5. What is the average rate of change of f(t) over the interval 4 to 5? The ...

Q: Solve each triangle. Round your answers to the nearest tenth.

A: We will solve the given triangle by using sine rule as shown below

Q: 10 y =x X log. Cax+1) logon Do

Q: etermir nine whether the following (a) E:

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Determine the values of a, b, and c for the function f(x) = ax² + bx +c, that satisfy the following ...

Q: g(x) = -13 – x| + 5 -6- -10 -9 3 10 -1- -2- -3-

A: The objective of the question is graph the given equation.

Q: After t hours a freight train is s(t) = 17t2 − 2t3 miles due north of its starting point (for 0...

A: Given that: s(t)=17t2-2t3

Q: h3 + h² – 8h – 12 2) lim h→3 h³ – 4h² – 3h + 18

A: Given the query is to find the limit of the expression.

Q: The half-life of caffeine is 5.5 hours. You drink a double espresso, which contains 128 mg of caffei...

Q: the following. Show solution using the basic formulas.

A: Given that:

Q: Determine the average velocity of the function f(t) = vt +1 between the time intervals t = 3 and t =...

A: Given that: f(t)=t+1

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'...

Q: Given that f(x) = x1°h(x) h( – 1) = 3 h'( – 1) = 6 - %3D Calculate f'( - 1).

Q: Direction: Find the derivative of the function. g(x) = (3 – z*) (x* – z + 1) Select one: O g'(r) = -...

A: Given: gx=3-x2x3-x+1 =3x3-x+1-x2x3-x+1 =3x3-3x+3-x5+x3-x2 gx=-x5+4x...

Q: Question 6 Direction: Find the derivative of the function. Not yet y = -r² +3 answered Marked out of...

Q: Let f(x) = e. It can be shown by direct computation that f() (x) S 76e on the interval [0, 1). Using...

A: According to question,Given function.fx = ex2

Question

to produce x t-shirts costs C(x)=4x+55 revenue is R(x)=18x where C(x) and R(x) are in dollars.

a) how many t-shirts do they have to produce and sell to break even?

b) How many t-shirts needed to be produced and sold in order to make a profit of 1000?

c) what is the fixed cost?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing only on three sides. Find the length and width of the plot that will maximize the area.
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.
The total cost of producing a type of car is given by C(x)=23000−30x+0.04x2, where x is the number of cars produced. How many cars should be produced to incur minimum cost?
The total cost of producing a type of boat is given by C(x)=27000−10x+0.02x^2, where x is the number of boats produced. How many boats should be produced to incur minimum cost?
A researcher in physiology has decided that a good mathematical model for the number of impulses fired after a nerve has been stimulated is given by y=−x2+40x−50, where y is the number of responses per millisecond and x is the number of milliseconds since the nerve was stimulated. (a) When will the maximum firing rate be reached? (b) What is the maximum firing rate?
14. Minimizing Cost. Designs for #1 Canines has determined that when x hundred portable doghouses are produced, the average cost per dog house is given by C(x) = 0.1x^2 - 4.2x + 72.4, where C(x) is in hundreds of dollars. How many doghouses should be produced in order to minimize the average cost per doghouse?
Suppose a baby food company has determined that its total revenue R for its food is given by R=−x^3+30x^2+900x where R is measured in dollars and x is the number of units (in thousands) produced. What production level will yield a maximum revenue?A production level of________________ thousand units will maximize revenue.
The cost of producing x units of a product duringa month is x1/2 dollars. Show that the minimumcostmethod of producing 40 units during the next twomonths is to produce all 40 units during a single month.
Generic Corp, a manufacturer of doodads, has a daily mariginal cost function of C'= 0.77(.04x+0.18)(0.02x2+0.18x+30.28)-2/9 dollars per doodad when x doodads are made. The fixed costs for Generic Corp are $28 per day. How much does it cost the company in total to produce 300 doodads?
A manufacturer of lighting fixtures has daily production costs of C = 800 − 30x + 0.75x2, where C is the total cost (in dollars) and x is the number of units produced. How many fixtures should be produced each day to yield a minimum cost?