A guitar factory has a cost of production C(x)=75x+60000, where X is the number of guitars produced. If the company needs to break even after 200 units sold, at what price should they sell each guitar? Use the variable to represent the price. Round up to the nearest dollar.

Q: John owns a hot dog stand he has found that his profit is represented by the equation P equals…

A: The given profit function is Px=-x2+76x+80 where x is the number of hot dogs sold. It is known that…

Q: The owner of an apartment building can rent all 50 apartments if she charges $600 per month, but she…

A: Solution ) the equation of revenue R(x) = (50 - x ) ( 600 + 30x) [ 50 - x = fewer apartment (600 +…

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the june rainfall x, in…

A:

Q: R = 840x + 207x² – x³ X = units

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Q: Eliminate the arbitrary constant of the equation: y2(a-x)=x3

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Q: A​ company's daily profit from the production and sale of electrical components can be described by…

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Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A: We can use the concept of maxima and minima to solve this question.  In order to get maximum profit…

Q: Please see attachment

A: Given,The number of incarcerated adults N (measured in thousands) in a certain country can be…

Q: ) The profit for Cocoa Board cocoa beans is given by II(x) = -15x² + 180x – 405 pusand dollars,…

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Q: When an object is removed from a furnace and placed in an environment with a constant temperature of…

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Q: A fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

Q: Solve for x:   X+b / a = 4x - 7a/b

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Q: equation x2+2x-8

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Q: The number of a certain type of bacteria, y, present in a culture is determined by the equation…

A: We have given that the number of a certain type of bacteria present in a culture is determined by…

Q: The profit (in dollars) from the sale of x infant car seats is given by P(x) = 45x -0.025x2 - 5000…

A: The profit function on sale of x infant car is P(x)=45x-0.025x2-5000.

Q: A jewelry maker incurs costs for a necklace according to C(X) = 37x + 1650. If the revenue function…

A: Given that  C(X) = 37x + 1650. R(x) = 87x

Q: The profit (P) for a company is given by the equation P=-0.02x^2 + 1.40x + 1500, where x is the…

A: Consider the given profit function: P=-0.02x2+1.40x+1500 Where  x is the number of units sold Here,…

Q: A firm can produce only 4400 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: we first find the profit function P(x) as  P(x)=R(x)-C(x) Now we find the derivative of P(x) and…

Q: A musician charges C (x) = 64x + 20,000, where x is the total number of attendees at the concert.…

A: SOLUTION-

Q: The profit for Cocoa Board cocoa beans is given by Π(x) = −15x2 + 180x −405 thousand dollars, where…

A:

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A:

Q: The width of a rectangular field is represented by x. The length of the rectangle is 5 more feet…

A:

Q: The length of a rectangular box is 7 inches longer than twice the width (x). The height is 13…

A: Let l be the length of the rectangle , h be the height and x be the breadth of the rectangular box.…

Q: Eliminate all the arbitrary constants in the equation y = C1e3x + C2xe3x

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Q: (a) How many tonnes must be sold for to not make a loss?

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Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

Q: Solve the equation 2x3 + 5x2 - 4x - 3 = 0 given that -3 is a zero of f(x) = 2x3 + 5x2 - 4x - 3.

A: We have given function fx=2x3+5x2-4x-3 and its zero is -3. Then its one factor will be x+3 So,…

Q: In an equation, you want to get the variable... to disappear by itself on one side next to the…

A: In any equation, we want the variable to get on one side

Q: The profit P (in dollars) for a company that produces antivirus and system utilities software is…

A: Calculate the derivative for P i.e. P’(x).

Q: by the equation: f(x) = - 2x2 - 10x + 9

A:

Q: When looking at a multi-step equation, how do you know WHEN you should Move Variables?

A: When variable on both side of equation then we move variables accordingly.

Q: The amount of money in a fund F (in millions of dollars) can be approximated by the equation…

A: Consider the given function:

Q: x³ - 3x²y = C

A:

Q: During migration, a monarch butterfly might fly an average of 50 miles per day. Which equation shows…

A: By distance time formula: Speed=distancetime Substitute Speed=50 miles/day, distance=m and time=d in…

Q: A gym charges a $15 registration fee and $5 per session. If x represents the number of sessions, the…

A: Explanation and solutions is given below.....

Q: Predict the number of falafel plates the restaurant will sell in 2024.   Predict the number of…

A: From the above data  We are given that the equation of the regression line y=1.3x+8.8 Here  x…

Q: For the equation y = -3x +2, determine the value of when x = 2.

A: According to the question, we have to find the the value of the algebraic expression y=-3x+2 when…

Q: A rectangular swimming pool is x meters wide. The length of the swimming pool is twice as long as…

A: Form the equation in one variable and solve it using given data.

Q: Find the value of x that will make A||B. A 2x + 5 3x-2 X = [?]

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Q: A wholesaler of appliances finds that she can sell (1500 − x) flat-screen television sets each week…

A: The maximum revenue is -b/2a Where b is the coefficient of X  And a is the coefficient of x2

Q: The profit per acre from a grove of orange trees is given by  x(290 − x) dollars,  where x is the…

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Q: A wholesaler of appliances finds that she can sell  (1100 − x)  flat-screen television sets each…

A:

Q: Solve the equation x3 – 13x2 + 47x - 35 = 0 given that 1 is a zero of f(x) = x° – 13x2 + 47x - 35.

A: The given equation is x3-13x2+47x-35=0, 1 is a zero of f(x)=x3-13x2+47x-35

Q: The profit function for a company that produces shoes is given by y = - 2x ^ 2 + 12x +23, where "y"…

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Q: explain why the x-intercept can be used to solve (x-6)(x-3)=0

A: The x-intercept is the point where the line crosses the x-axis.   The x-intercepts are points where…

Q: A fast-food restaurant has a cost of production C(x)=13x+110 and a revenue function R(x)=8x. When…

A: GivenC(x)=13x+110R(x)=8x

Q: A fast-food restaurant has a cost of production C(x)=11x+90 and a revenue function R(x)=6x. When…

A: Given:       Cx=11x+90       Rx=6x So, the profit function is:     Px=Rx-Cx

Q: The equation |x| = 3 has two solutions               and                  .

A: To fill: The statement "The equation |x| = 3 has two solutions ______ and ______ . Given…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.