Question 4: Anna's sandwiches deli has found that the monthly demand for their chicken sandwich is given by: 30,000 – x p(x) = 10,000 And the cost of making x sandwiches is C(x) = 6000 + 0.8x. How many sandwiches does Anna have to sell to maximize profit? What profit would she make if she were to achieve this level of sales?

Question 4: Anna's sandwiches deli has found that the monthly demand for their chicken sandwich is given by: 30,000 – x p(x) = 10,000 And the cost of making x sandwiches is C(x) = 6000 + 0.8x. How many sandwiches does Anna have to sell to maximize profit? What profit would she make if she were to achieve this level of sales?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: Suppose a company's revenue function is given by R(q) = -q³ +280q² and its cost function is given by…

Q: str

A: Here we have, =limx→∞3x2-9x4+2x2+1

Q: My topic is about Higher Order Derivatives and Optimization for reference. A cardboard box…

Q: Suppose a firm's cost function is given by C(w), wz, y) = Kufw-"y where w, and y denote the price of…

A: Given that, Firm's cost function; Cw1,w2,y=kw1aw21-ayb (1)…

Q: Find the COORDINATE POINT(S) of the extrema by using the Second Derivative Test. M needed for these…

Q: 5. Use the definition of derivative to find derivative of ƒ(x) = (D + 2)x –- (C + 2)x². D=7 F=7 C=2

Q: For the demand equation, use implice deferentiation to find dp/de. 18p + 4p +3-x

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

Q: 1. Assume that it costs Sony approximately C (x) = 800, 000 + 340x + 0.0005x2 dollars to…

Q: If a function is quadratic, then its derivative function is a constant. If the answer is wrong,…

A: Check whether statement is true or false. If false then correct the statement.

Q: Using the first deivative test to find the location of the local maxima of the following function…

A: Given: f(x) = x3-3x2-9x-1.

Q: in his model for storage and shipping costs for a manufacturing process, a researcher develops the…

A: Step 1: First, simplify the equation of the storage.Step 2: Then, differentiate the equation with…

Q: 4.1(2) Determines the equation of the tangent to the graph representing (shown in the picture) whose…

Q: 4. The price p a book company charges for its most recent book is related to the demand q in weekly…

A: given equation 100pq+q2=5,000,000 which represents the relation between price and demand

Q: 6x erivative of f(x) equal to zero, calculate x*: f'(x*) = 0. Using the second derivative ther x* is…

Q: 3.The demand curve of a firm is p=1200- 21q and its total cost is C(q)=2q3 – 66q2 +600q+1000 where…

A: Note: according to our guidelines we can answer only first three subparts

Q: 4. A particular automobile is worth $15,200 today and will be worth $9,800 in three years. a) At…

Q: The money supply needed to generate $1500 of nominal GDP with money velocity of 20 is

Q: A data table for Y = Y(X) with evenly spaced values for X can be modeled with a linear function if…

Q: 2. Suppose that a soft-drink bottler has collected data on its sales of 12-ounce cans at different…

A: The data in sheet 1 is given as…

Q: 2. Show that among all rectangles, the square has the minimum perimeter. Let the objective function…

A: Use double derivative test

Q: 3. The price, p, in dollars and the demand x for a particular frying pan are related by the function…

Q: Consider the market for pork illustrated in the graph. Suppose initial demand (D') is Q = 290 – 20p…

A: The equilibrium before tax is at Qd=Qs290-20p=80+40p60p=210p=3.5Q=290-20*3.5Q=220the equilibrium…

Q: 7) The profit (in dollars) derived from selling z units of an alarm clock is given by P= 0.0002z° +…

A: Marginal Profit is the derivative of profit function. Please see the explanation below

Q: b) f(x)=√x - √x c)

Q: Find the production schedule that satisfies an external demand for 10 units of magnesium and 20…

A: We using the formula that relates the technology matrix and demand matrix.

Q: For a minimum wage job, the total pay ($) received for x hours worked is given by P(x) = 15.74x, for…

A: Total pay ($) received for x hours worked is, P(x)=15.74x, For 0≤x≤80

Question

1. Calculate the equations of the appropriate functions

2. Calculate the derivative of the profit function

3. Calculate the critical points

4. Give a therefore statement

Question 4: Anna's sandwiches deli has found that the monthly demand for their chicken sandwich is given
by:
30,000 — х
p(x)
%D
10,000
And the cost of making x sandwiches is C(x) = 6000 + 0.8x. How many sandwiches does Anna have to sell to
maximize profit? What profit would she make if she were to achieve this level of sales?

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

Solve the following word problem. Use a first or second derivative test to verify the answer if applicable.
3.2(1) Determines the equation of the tangent to the representative curve of f(x) = 2x 2 + 4x - 1 when × = -2. (Be sure of the definition of the derivative (fundamental principles) to determine the slope of the tangent.)
2. A simple curve that often makes a good model for the variable costs of a company, as a function of the number of units produced, x, has the form: y = b₁x + b₂x² + b3x³. (There is no constant term because fixed costs are not included.) Consider the following table of recorded variable costs versus units produced for some company:
The market research department of a company recommends that the company manufacture and market a new calculator. After a comprehensive study on the market, the research department presents the following price-demand equation: 2 = 150 – p where z is the number of calculators that can be sold at a price p pesos. %3D What is the marginal revenue function in terms of z? MCQ1.pdf OR' (x) = -3x2 +150 OR (x) = 150 – x? O R (x) = 150 – 2x OR (x) = -4x + 300x
3. Consider a single node x0 and stepsize h. Based on these answer the following:(Q) Derive the formula for Forward Difference method of numerical derivative and show how theerror is related to the stepsize h.
5.2(4) PLEASE SHOW YOUR WORK STEP BY STEP THANK YOUUU :)) Calculates the second derivative of the function (shown in the image) Determines the intervals on which the graph of the Function is concave upwards and the intervals on which it is concave downwards.
4.1(1) Determines the derivative of each function. Please explain your work & calculations step by steps.
Define the Derivatives of the following Linear Functions: 1)Total Cost Function 2) Consumption function 3) Supply value of calculus to business
1. Suppose that the straight line of a demand equation passes through points (10, 20) and (5, 30). Find the demand equation.
A7. (a) Which of the following statements is true? Select one of the options i. – iv. (dy of the function Y = 4x6 - 3x³ +7x - 5 is equal to The derivative %3D i. 24x6 - 9x3 + 7 ii. 24x5-9x2 +7 ii. 24x5 9x3 + 7 iv. None of the above Given that the demand function is p = 42 -3q , where q represents the output level and p is the price, write down an expression for the total revenue (R) function in terms of q. (b) i. %3D Find the output level which maximises the total revenue function. Note that you need to clearly show that this output level leads to a maximum. ii.