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Q: The function C(x)=10x+5,000 represents the cost to produce x number of items. How many items should…

A: SOLUTION-

Q: The cost C for ordering and storing x units is C = 7x + 200,000/x. What order size will produce a…

A: Differentiate w.r.t to x

Q: Suppose the demand for a product is q = 1080 – 0.1 p. Determine the price, p, that results in…

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Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = 23…

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Q: Suppose the manufacturer of a gas clothes dryer has found when tbe unit pric is p dollars, the…

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Q: Suppose a company has fixed costs of $32,000 and variable costs of 4/9x + 333 dollars per unit,…

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Q: The demand for a new computer game can be modeled by p(x) = 57 -7 Inx. for 0sxS 800, where p(x) is…

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Q: If the total cost function for producing x lamps is C(x) = 270 + 39x + 0.3x2 dollars, producing how…

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Q: A pollster wants to minimize the effect the order of the questions has on a person's response to a…

A: For a positive integer n, the formula for n! is n(n – 1)(n – 2)…..3.2.1.

Q: 3. If 100x units of a particular commodity are demanded when p dollars is the price per unit, x² +p²…

A:

Q: Suppose the profit from the sale of x units of a product is P = 6400x – 18x2 - 400. (a) What…

A: Given that: Profit, P(x)=6400x-18x2-400     NOTE: As per our answering guidelines, we can only…

Q: Suppose the profit from the sale of x units of a product is P = 6400x - 18x2 - 400. (a) What…

A: Given that  The profit from the sale of x units of a product is  P=6400x-18x^2-400

Q: Suppose the cost of producing x lawn mowers is C1x2= -0.02x2 + 400x + 5000. a. Determine the average…

A: Given: The cost of producing lawnmowers is given as:

Q: The total cost C of ordering and storing x units is C = 3x + (290,000/x) . What order size will…

A: Consider the given cost function, C=3x+290000x differentiate the function with respect to x,…

Q: Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in…

A:

Q: Suppose the average costs of a mining operation depend on the number of machines used, and average…

A: The average cost function for a mining operation is C¯x=5x+3125x,  x≥0 where x is the number of…

Q: the revenue function is given by R(x)= -x3+12x2-10x+10 where x is the number of units sold, what's…

A: Differentiate R(x) with respect to x.

Q: 200 +7 dollars per unit, What is the minimum number of units that must be sold in order that sales…

A: Prize of each unit is given by  P = 200/q + 7 dollars And minimum sales revenue must be greater than…

Q: If the demand function of a good is P =radical(1000 − 4Q) find the value of Q which maximises total…

A:

Q: If the price for smoothie supplies which is $35 increases by 5%, what is the minimum price that a…

A: Price of smoothie=$35 After 5% increase in price = 35+35×5100=$36.75

Q: A local company is planning to manufacture and market a four-slice toaster. For this toaster, the…

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Q: An automobile dealer expects to sell 200 cars a year. The cars cost $9000 plus a fixed charge of…

A: Given: Sell 200 cars a year  cars cost $9000 plus a fixed charge of $1000 per delivery

Q: 4. Suppose Oceana wants to build 10 feet below the average waterline. What is the maximum amount of…

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Q: Find the minimum value of the function f(x) = 2x² + 18.3x + 45 to the nearest hundredth.

A: Given function f(x)=2x2+18.3x+45

Q: 30) Suppose that the dollar cost of producing x radios is c(x) = 800 + 40x - 0.2x2. Find the…

A: Given,c(x) = 800 + 40x - 0.2x2Cost of producing first 40 radios,C(40) = 800 + 40 x 40 - 0.2 x (40)2…

Q: A movie theater wants to determine the price per ticket that should be charged in order to maximize…

A:

Q: Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in…

A:

Q: (2) A retailer determines that the cost of ordering and storing units of a product can be modelled…

A: Given that, A retailer determines that the cost of ordering and storing units of a product can be…

Q: The function C(x)=−9x+2401 represents the cost to produce x items. What is the least number of items…

A: Obtain the average cost function for the given cost function as follows. Cx=Cxx=-9x+2401x=-9+2401x

Q: Find the values of p where demand is elastic. x = 324 — 2р

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Q: Suppose the profit from the sale of x units of a product is  P = 6400x − 18x2 − 400. (a) What…

A: Given profit function P = 6400x − 18x2 − 400. Now we will find the levels of production as shown…

Q: Riverside Appliances is marketing a new refrigerator. It determines that in order to sell x…

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Q: Afarmer finds that if she plants 100 trees per acre,, each tree will yield 40 bushels of fruit. She…

A:

Q: A farmer has 1000 acres of land on which he can grow corn, wheat, and soybean. The following table…

A: Let x1 acre of land is allocated to corn, x2 to wheat and x3 to soybean. Then constraint equations…

Q: What is the cost of producing the 3001st Quebee?

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Q: 3. Explain why 6 would be an extraneous solution to the function below: 1 х — 6 -

A: We will find why 6 is an extraneous solution of the function as following.

Q: Suppose y = 3x + 2. What is fl.y if x increases by 3?

A: Given y = 3x +2, if x increases by 3, then we have to calculate the change in y.

Q: A retailer determines that the cost of ordering and storing units of a product can be modelled by…

A:

Q: The cost of producing x units of a product duringa month is x1/2 dollars. Show that the…

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Q: The monthly output of a Spanish light bulb factory is P = 2LK2 (in millions), where L is the cost of…

A:

Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the…

A: Topic:- calculus

Q: suppose the profit from the sale of x units of a product is P=6400x-18x^2-400. what levels of…

A:

Q: The total cost of producing a type of car is given by C(x) = 20000 - 50x + 0.2x2, where x is the…

A: We use second derivative test to find value of x where cost minimum

Q: The annual total revenue for a product is given by R(x)=30,000x−6x2 ​dollars, where x is the number…

A:

Q: Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in…

A: The arithmetic mean of grade point is given as:    grade point average = sum total of grades…

Q: A car manufacturer estimated that the cost of production of “x” cars of a certain model is C = 20x –…

A:

Q: A retailer determines that the cost of ordering and storing units of a product can be modeled by…

A: Given   Cost function =C(x)=3x+2000/x

Q: A company producing stereos can produce a stereo for $117 on top of the company's annual fixed cost…

A:

Q: What is the minimum value of  g(x)=6x4-18x3-48 answer should be to 3 decimal places?

A: Derivative of the above function is,

Q: (2) A retailer determines that the cost of ordering and storing units of a product can be modelled…

A: Given cost function is, Cx=3x+2000x ,0≤x≤200 Differentiating the above function with respect to x we…