Find ​(a) the cost​ function, ​(b) the revenue​ function, and ​(c) the profit function. ​(d) Find the​ break-even point and decide whether the product should be​ produced, given the restrictions on sales.

Q: In economic theory, we let x represent the number of items (called demand) a supplier will produce…

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: NOTE: Refresh your page if you can't see any equations. . x=burning time  y=height of the candle…

Q: A photocopy service has a fixed cost of $2000 per month (for rent, depreciation of equipment, etc.)…

A:

Q: Discuss the Functions of more than two Variables?

A: Functions of Two Variables The definition of a function of two variables is very similar to the…

Q: Suppose that Bianca walks at a constant rate of 3 miles per hour. Explain what it means that the…

A: Linear function has variable in power of 1 only, i.e., there is no power of variable more than one.…

Q: A manufacturer of graphing calculators has determined that 10,000 calculators per week will be sold…

A: Given A manufacturer of graphing calculators has determined that 10,000 calculators per week will be…

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

Q: Explain why every nonconstant linear function has an inverse.

A: Given: A linear function has an inverse.

Q: If a linear function has positive rate of change, does its graphslope upward or downward?

A: Slope measures the rate of change in the dependent variable as the independent variable changes. The…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: The height(cm) of the candle is a linear function of the amount of time (in hours) it has been…

Q: Find a linear function with slope - 3 that contains the point ( - 1, 4). Graph the function.

A: Our Aim is to find a linear function with slope -3 that contains thepoint (-1,4).Since, for finding…

Q: How can you tell right away if a function is Quadratic vs. Linear?

A: A function is Quadratic vs. Linear

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

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Q: Suppose that the total cost function for an MP3 player is linear, that the marginal cost is $54, and…

A: In this question, we have to find the cost function by using the given conditions. Let C(x) be the…

Q: Describe what is meant by a piecewise linear function.

A: A piecewise linear function is a function composed of straight-line sections. It is a…

Q: Suppose a line passes through (0,3) with a slope of 2. Write the equation for the linear function.

A: The general equation of line which passes through the point (x1,y1) and having slope m is given as,…

Q: What is a piecewise linear function?

A:

Q: If the slope m of the graph of a linear function is_________ ,the function is increasing over its…

A: Given: If the slope m of the graph of a linear function is_________ , the function is increasing…

Q: a young person should sleep 8 hours plus 1/4 hour for each year the person is under 18 years of age.…

A:

Q: The construction industry was one of the hardest-hit by the recession of 2008, but housing starts…

A: NOTE: Refresh your page if you can't see any equations. . here x= number of years after 2002 so…

Q: Interpret the Mean Value Theorem when it is applied to any linear function.

A: Interpret the Mean Value Theorem when it is applied to any linear function.

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3. What is the…

A: We can use the concept of straight line in order to solve the given problem.

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: A new company gains 125 customers each year. Each year they also lose 42 customers. Write a linear…

A:

Q: Scientists in Malaysia have collected data revealing that there is a linear relationship between the…

A: Ix=2.41+0.12x (a) Substitute 70 for x into provided linear model. I70=2.41+0.1270=2.41+8.4=10.81 cm…

Q: Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain…

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Q: Find the equation of the linear function f that passesthrough the points (4, 1) and (8, - 5).

A: Our Aim is to find the equation of the linear function f that passes throughthe points (4,1) and…

Q: Suppose that f is a linear function with slope 3 and that f(2) = 4. Find the equation for f. (Use x…

A:

Q: Suppose that a company has just purchased a new computer for $3600. The company chooses to…

A: A company has just purchased a new computer for 3600.the company chooses to depreciate using the…

Q: Graph the linear function:

A: Graph of f(x)=35x+1 x f(x) 0 1 1 1.6 2 2.2 -1 0.4

Q: What are the Functions of Several Variables?

A: Function of Several Variables: If we define a real valued function of n variables as y = f(x1, x2,…

Q: Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the…

A: The general linear equation is fx=y=mx+c Here m is the slope of the curve and c is the y-intercept.…

Q: At the BMV, suppose that the length of time you must wait before speaking to a customer service…

A:

Q: A manufacturer of economy cars has determined that 46,000 cars per month can be sold at a price of…

A:

Q: Is the following real world example a linear function or a nonlinear function? Explain why

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Q: A high-end sausage manufacturer, HotDogs-R-Us, makes several types expensive sausages. Their…

A:

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: If the slope m of the graph of a linear function is __________, the function is increasing over its…

A: Known fact: If the graph of function is increasing over a, b then f'x>0 for all x in a, b. Slope…

Q: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,500…

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Q: An employee at a particular company can expect to get a $1,500 raise each year.  If Jeff has been…

A: Given:- An employee at a particular company can expect to get a $1,500 raise each year. If Jeff has…

Q: Consumers will demand 1005 items at a price of $2.25/item. When the price per item increases to $3,…

A:

Q: Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit…

A: First, differentiate the profit function πq=1526q-q2-q2+11q with respect to q to maximize profit.…

Q: A linear function that represents the number of hot dogs purchased at a football game is compared to…

A: Given two linear function that represents the number of hot dogs purchased at a football game and…

Q: Get the:  1. Revenue function  2. Demand function

A: To find out the revenue function and demand function by using the marginal revenue function.

Q: Suppose that f is a linear function with slope 2 and that f(2) = 3. Find the equation for f. (Use x…

A: We have to find linear equation for given data.

Q: Each day, a young person should sleep 8 hours plus - hour for each year the B person is under 18…

A: Given : A young person should sleep for 8 hours a day . And a person whose age is less than 18 years…

Q: Suppose f(-3) = -8 and f(-1) = 2. Determine the linear function represented by these values.

A:

Q: The relation between the cost of a diamond and its weight is linear. In looking at two diamonds, we…

A: Price of 0.7 carats = $3340 Price of 0.80carats = $4065 Weight is Independent variable. We want to…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.