The revenue function is given by R(x) = 38x - 0.01x2. If production is limited to 1500 units. Find the maximum revenue (Write a number %3D only)

Q: The cost function of a company is C (x) = vx + 248, and the selling price is 4 Rials per unit. Find…

A: The break-even point is achieved when the total revenue is equal to the total cost.  A polynomial of…

Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1400x dollars and its…

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Q: The cost of manufacturing snow blowers is given by C(x) = 350 + 6x - 0.4x². А. Find the marginal…

A: Solution B )average cost = ΔC / ΔX  = (350 + 6x - 0.4x2)/ x = 350/x + 6 - 0.4x at  x = 25 = 350/ 25…

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

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Q: A piece of cardboard measuring 11 inches by 13 inches is formed into an open-top box by cutting…

A: Given query is to find volume of the box and the value of x for which volume is maximum.

Q: The annual revenue and cost functions for a manufacturer of precision gauges are approximately…

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Q: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x2 , where x is the…

A: Given: The total cost of producing a type of car is given by Cx=23000-30x+0.04x2

Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

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Q: A piece of cardboard measuring 12 inches by 13 inches is formed into an open-top box by cutting…

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Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

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Q: For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue…

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Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

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Q: The total cost of producing a type of car is given by C(x) = 21000 – 20x + 0.02x, where x is the…

A: Topic = Functions

Q: Find the maximum revenue for the revenue function  R(x) = 355x − 0.9x2.  (Round your answer to the…

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Q: A firm can produce 100 units per week. If its total cost function is C = 200 + 1400xdollars and its…

A: In this question given that c(x) = 200 + 1400x. And R(x) = 1500x - x2 . And we find maximum profit.…

Q: If the total cost function for producing x lamps is C(x) = 980 + 37x + 0.2x² dollars, producing how…

A: Total cost of producing x lamps is Cx=980+37x+0.2x2 Let R be the average cost per unit. Now average…

Q: The demand function for a tablet is given by the model p = 200 – 16x2 where p is measured in dollars…

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Q: ​Aki's Bicycle Design has determined that when x hundred bicycles are​ built, the average cost per…

A: The average cost per cycle cx=0.1x2-1.2x+3.939 To minimize the cost, let us find the derivative of…

Q: When no more than 110 units are produced, the cost (in dollars) of producing x units is given by…

A: Given: C(x)=0.2x3-25x2+1531x+25000

Q: A manufacturer produces microwaves. He estimates that by selling them for x dollars each he will be…

A: To determine the price will yield a maximum revenue.

Q: The annual total revenue for a wis given by R(x)=24,000x-6x^2 dollars, where x is the number of…

A: To find maximum no of units sold. Also to find maximum possible annual revenue.

Q: If the total cost function for producing x lamps is  C(x) = 4410 + 38x + 0.9x2  dollars, producing…

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Q: A shop sells pies for $5 each. The daily cost function has the form C(x)=x+10+0.01x2, where x is the…

A: Revenue function, R(x) = price x Quantity = 5x Cost function, C(x) = x + 10 + 0.01x2 Profit function…

Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

A: Given A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to…

Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: A local sandwich store has a fixed  weekly cost of 510.00 and variable cost for making a roast beef…

A: Given: A local sandwich store has a fixed weekly cost of $510.00 and variable cost for making a…

Q: The cost per day of running a hospital is 300,000 + 0.75x2 dollars, where x is the number of…

A: Given cost equation is: C(x) = 300000 + 0.75 x^2 For x = 200 we get, C(200) = 300000 + 0.75 (200^2)…

Q: A piece of cardboard measuring 12 inches by 14 inches is formed into an open-top box by cutting…

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Q: A parking lot charges $2 per hour for the first 4 hours, them $3 per hour after that. Which…

A: Suppose that the total number of hours is x then given that parking lot charges $2 per hour for the…

Q: The fixed costs of a business for production of a particular item over a period are $1000 while the…

A: Solution:-

Q: Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.

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Q: Given a total-revenue function R(x) = 900/x -0.1x and a total-cost function C(x) = 1400 (x +2) +800,…

A: Given, Total revenue function Rx=900x2-0.1x Total cost function Cx=1400x2+213+800 We have to find…

Q: The weekly cost of producing x electric drills is given by the function C(x)=2400+ 28x+0.25x².

A: Note : As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

Q: If the total cost function for producing x lamps is C(x) = 720 + 39x + 0.8x^2 dollars, producing how…

A: Use formula for average cost

Q: If the total cost function for producing x lamps is C(x) = 3920 + 38x + 0.8x² dollars, producing how…

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Q: A piece of cardboard measuring 8 inches by 12 inches is formed into an open-top box by cutting…

A: The shape of the cardboard after cutting squares from each corner is as shown below

Q: A firm can produce 300 units per week. If its total cost function is  C = 400 + 1400x  dollars and…

A: P(x) = R(x) - C(x) = 1700x - x² - 400 - 1400x = -x² + 300x - 400   Now take the derivative of the…

Q: A company sells its product at 60 OMR per unit. The fixed cost is 19500 OMR, and the variable cost…

A: Here we have to find the break even point. We know that break even point is the point where total…

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: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

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

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

A: R=-x3+45x2+525x To find: Production level that will yield maximum revenue.

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A: The profit function is: P(x)=1.3x-0.01x2-30

Q: Suppose you have a clothes dryer that uses 4000 watts of power and run it for an average year f 1…

A: To determine the operational cost of the hair dryer.

Q: The demand function for a tablet is given by the model P= 200-16x2 where p is measured in dollars…

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Q: The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the…

A: Rewrite the given function as Y=1000x-x2. Compare the above function with the quadratic function…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: For the cost function C(x) = 8950 + 790x + 0.5x2 and the demand function p(x) = 2370, find the…

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Q: A firm has monthly average costs, in dollars, given by C = 40,000/x + 300 + x where x is the number…

A: Profit, P = (Sale price per unit - average cost per unit) x Number of units = [2,000 - (40,000/x +…