If total costs for a commodity are given by C(x) = 750 + 20x and total revenues are given by R(x) = 140x − x2, find the maximum revenue and maximum profit (in dollars) for the given functions.   maximum revenue = $? maximum profit = $?

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: suppose a company has revenue function R(x)=10x and the cost function C(x)=2x+100, where x is the…

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Q: The total revenue function for a product is given by R=510x dollars, and the total cost function for…

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Q: If total costs for a commodity are given by  C(x) = 950 + 30x  and total revenues are given by…

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Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given:

Q: For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue…

A: Given: Revenue cost: R(x)=-0.5 x-902+4050;   Cost function:…

Q: I am trying to find the absolute maximum and minimum value of the function (x2/3)(x-5) But there…

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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: The total cost of producing a type of boat is given by C(x) = 17000 – 20x + 0.02x², where x is the…

A: Given:- The total cost of producing a type of boat is given by C(x) = 17000 - 20x + 0.02x2 where x…

Q: What production level will yield a maximum revenue?

A: R=−x^3+30x^2+900x   To maximize R, find dR/dx and set to 0 : dR/dx = -3x² + 60x + 900 0 = -3x² + 60x…

Q: Suppose we have a revenue function given by  R(x) = 3x3 - ax, Where a is a constant. What would the…

A: Average revenue=Revenuex=R(x)x

Q: If total costs for a commodity are given by C(x) = 850 + 20x and total revenues are given by…

A: Given Total cost C(x) = 850 + 20x and Total revenue R(x) = 130x − x2

Q: The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60,…

A: To find the revenue function, calculate Rx=x·p, where p=-0.0005x2+60.…

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: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: A cell phone factory has a cost of production  C(x) = 175x + 30,000  and a revenue function  R(x)…

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Q: A company can produce a maximum of 1500 widgets in a year. If they sell x wwww m widgets during the…

A: Px=30,000,000-360,000x+750x2-13x3 Differentiating with respect to x, we get…

Q: A firm can produce 300 units per week. If its total cost function is C = 400 + 1100x dollars and its…

A: Profit function, P(x) = Revenue function - Cost function                                = R(x) -…

Q: The total cost of producing a type of tractor is given by C(x) = 27000 – 10x + 0.04x-, where x is…

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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: The revenue function for a oneproduct firm is R(x) = 200 - 1600/(x + 8) - x. Find the value of x…

A: Let a = 1600, so a' = 0 Let b = x + 8, so b' = 1 Let c = a/b, so we use the Quotient Rule: c' = (a'b…

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…

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: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given revenue function

Q: The total cost of producing a type of car is given by C(x) = 12000 – 10x + 0.05x², where x is the…

A: We need to find x where C(x) is minimum.

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: For a certain company, the cost function for producing x items is c (x)=50x+150 and the revenue…

A: It is given that c(x)=50x+150 and R(x)=-0.5(x-110)2+6050.

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: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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Q: The Cost function C(x) and the Revenue function R(x) of a firm are given by C(x) = 4x +1200 and R(x)…

A: Given that the cost function Cx=4x+1200 and the revenue function is Rx=10x. We have to find the…

Q: If total costs for a commodity are given by  C(x) = 850 + 30x  and total revenues are given by…

A: Given R(x)=110x-x2 C(x)=850+30x To find the maximum value of the Revenue and profit function

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

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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 firm can produce only 1300 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Given that, the monthly total cost is, C(x)=500+200x and the total revenue is, R(x)=450x-1100x2.…

Q: Derive the number of tablets that the company could sell to make the same amount of profit

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Q: A firm can produce only 3200 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Find the profit function P(x):

Q: Suppose a company has a cost function C(x)= 1600-22x+xsquare and the revenune function R(x)=…

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Q: Suppose a company has a total costs of 0.1x² + 35x + 15000, where x is the total number of units…

A: We will find out the required values.

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: A chemical manufacturer sells sulfuric acid in bulk at a price of $600 per unit. If the daily total…

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Q: A firm can produce only 2900 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Since, A firm can produce only 2900 units per month. where, the monthly total cost is given by  C(x)…

Q: A firm can produce only 2,900 units per month. The monthly total cost is given C(x) = 400 + 200x…

A: first we will calculate the profit by using the formula  profit=revenue -cost here, we have been…

Q: If R(x) =400x-0.25X^2 and C (x) = 150x + 0.25x^2 +8500 are the total revenue and total cost (both in…

A: Solution:-  R(x)=400x-0.25x2C(x)=150x+0.25x2+8500

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: If the total cost function for producing x lamps is C(x) = 360 + 35x + 0.4x2 dollars, producing how…

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Q: If the utility or profit function for a product is: U (x) = 5,600x + 85x ^ 2-x ^ 3-200,000 dollars,…

A: If the utility or profit function for a product is Ux=5600x+85x2-x3-200,000 dollars, will selling…

Q: For a certain company the cost function for producing x items is C(x)=40x+200 and the revenue…

A: Since you have asked multiple part question, we will solve the first 3 part question for you as per…

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: The revenue for a certain product is given by the equation R(x)=100−400x+5−x, where x is the number…

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

A:

Q: If total costs for a commodity are given by C(x) = 950 + 20x and total revenues are given by R(x) =…

A: topic - maximum and minimum value of function

Q: A firm has monthly average costs, in dollars, given by 41,000 + 300 + x where x is the number of…

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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: 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 +…