Lavonna Waleed owns a factory that manufactures I-pad. Her weekly profit (in thousands of dollars) is given by the following function:  P(x) = -2x2  + 60x- 120. Where x is the number of I-pads sold. What is the largest number of I-pads she can sell and still make profit? How many I-pads will she have to make and sell in order to maximize profit?

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A: The function is A=-4x2+40x.   Differentiate the function with respect to x. dAdx=ddx-4x2+40x=-8x+40…

Q: If the profit function is  p(x)=-0.5(x-90)^2-50x+3850 what is the profit when producing 40 items?…

A: Consider the given function px=-0.5x-902-50x+3850

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Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars)…

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Q: A fast-food restaurant has a cost of production C(x)=12x+90 and a revenue function R(x)=7x. When…

A: Given,        C(x)=12x+90 and R(x)=7x

Q: If P(x) = 1+ 5x – 2x represents the profit in selling z thousand Boombotix speakers, how many…

A:

Q: Lavonna Waleed owns a factory that manufactures I-pad. Her weekly profit (in thousands of dollars)…

A: The weekly profit function is given by P(x) = -2x2 + 60x – 120, where x represents the number of…

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A: (a) to find the number of supervisors needed s=p15as a function of x, the number of subscribers, we…

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A:

Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x…

A: The weekly revenue from the production and sale of x units of grain is given by- R(x)=237x-x2 The…

Q: If the supply function in the Philippines is given by  "P = 140x + 12 600 What is the lowest cost…

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Q: A fast-food restaurant has a cost of production C(x)=13x+108 and a revenue function R(x)=7x. When…

A: Given the production cost: C(x)=13x+108and revenue function R(x)=7x we need to find the exact answer…

Q: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives…

A: Given,R(P) = 45P – 0.25P2

Q: Checking to see if my answer is correct.

A: Given:

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Q: A supply company charges for 50-gallon tanks using the demand function p(x) = 40 – 4.8x. What is the…

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Q: Why does the graphy of the quadratic function f(x)=x2+4x+5 cross the y-axis but not the x-axis?

A: The graph the quadratic function crosses y axis because we can put x is equal to zero and get y…

Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

A:

Q: for the function of a c=3600+100x+2x^2 and total revenue function R=500x-2x^2, find number of units…

A: Given that,For a function,c=3600+100x+2x2and the total revenue functionR=500x-2x2The number of units…

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A: First of all, consider the given function P (x) which shows relation between the profit of a tour…

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Q: With profits from an Apple orchard is given by P(x)=x(404−2x) dollars, where x is the number of…

A: Given :-Profit function isP(x) = x (404-2x) dollarswhere x is number of almond trees per acreWe have…

Q: (b) Show that ifr (x) = 6x and c (r) = x³ – 6x² +15x are your revenue and cost functions, then the…

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Q: If the profit function for a product is  P(x) = 3000x + 65x2 − x3 − 76,000  dollars, selling how…

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Q: Graph the the quadratic function f(x) = 3x2 - 6x + 1. Give the function domain and range.

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Q: A manufacturer of microwave ovens believes that the revenue  R, in dollars, that the company…

A:

Q: What is the y-intercept of f(x)=3x2-2x+1 ?

A: The y-intercept occurs when x=0

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A: We are given the range of quadratic function y less than equal to 2. It means parabola is downward…

Q: The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. The quadratic…

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Q: The owner of a video store has determined that the profits P of the store are approximately given by…

A: Solve for the maximum profit

Q: The profit, P, (in dollars) for Ace Car Rental is given by P =100x -0.1x2 , where x is the number of…

A: P =100x -0.1x2  is a parabola eith negative lead coefficient. So it will have the maximum value at…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given equation is :   P(x)=45*x-0.25*x2 We know , for a parabola  f(x)=a*x2+b*x+c , the coordinates…

Q: The total cost, in dollars, to produce bins of cat food is given by C(x)=15x+10582 The revenue…

A: The total cost, in dollars, to produce bins of cat food is given by C(x)=15x+10582 The revenue…

Q: The profit of a cell phone manufacturer is found by the function y= -2x2+108x+75, where x is the…

A: Solution of question as follows

Q: The daily profit, P of a coffee shop is given by P=12x – 0.02x2 where x is the number of coffees…

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Q: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives…

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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

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

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Q: The length of a rectangle is 3 inches more than the width. Which of the following represents the…

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Q: if you vertically stretch the quadratic parent function, F(x)=x2, by multiplying by 7, what is the…

A: Explanation of the solution is given below...

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by…

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

Q: The total revenue function for a home theather system is given by R=266x, and the total cost…

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Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells cans of…

A: Given: P(x)=-0.001x2+3x-1800

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.