The revenue for a certain product is given by the equation R(x)=100−400x+5−x, where x is the number of produced items. Find the value of x that results in maximum revenue.

Q: The total-revenue and total-cost funtions for producing x clocks are R(x)=500x-0.01x2 and…

A: The total-revenue and total-cost functions for producing x clocks are The profit function is

Q: The total daily profit (in thousands of pesos) of a certain food company for the sale of x boxes of…

A: Given query is to find the number of box needs to be produced to maximize the profit.

Q: for a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue…

A:

Q: The total cost of producing a commodity is given by C = 60x^2 − 0.01x^3, where x is the number of…

A:

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

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

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: 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: 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: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

A:

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

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

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Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: C=0.02x3+58x2+1455 the average cost function is given by  C¯=Cx C¯=0.02x3+58x2+1455x…

Q: Find the Break Even Point for the Firm whose cost function C and revenue function R are given.…

A: The given data is: Cost function is given as: Cx=13x+6000  Revenue function is given as: Rx=19x…

Q: A cell phone factory has a cost of production C(x) = 150x + 30,000 and a revenue function R(x) =…

A: Break even point is where total revenue equals total cost. Here total cost is given by…

Q: The total cost of producing a type of boat is given by C(x)=27000−10x+0.02x^2, where x is the number…

A:

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

A:

Q: Q1. The sum of three positive numbers is 30, find the three numbers if their product is minimum?

A: Topic- Number System

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

A: Consider the given: Cx=40x+200Rx=-0.5x-1102+6050Find the…

Q: 3.) The revenue for a company producing widgets is given by y =- 25x widget. The cost for the…

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Q: The demand for a certain product is given by p = 400 – 10x where p is price in dollars and x is…

A:

Q: The revenue and cost function for a created of alarm clocks are about R(x)=520x-0.01x^2 and…

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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: A manufacturer of lighting fixtures has daily production costs of  C = 800 − 30x + 0.75x2,  where C…

A:

Q: The total cost of producing a type of truck is given by C(x) = 24000 10x + 0.04x2, where x is the…

A: As per given by the question, The given equation is, Cx=24000-10x+0.04x2 Rewrite the equation,…

Q: To produce x units of some product a company spends C(x)=ax2+bx($), where a and b are real numbers.…

A: Sale value, S(x) = Sale price x sale volume = px Profit function = Sale value - cost Hence, P(x) =…

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 product-exchange function for gasoline x and heating oil y, in hundreds of gallons per day, is…

A: From the given information:The product exchange function for gasoline x and heating oil y is:

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: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per…

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: The cost function of a particular product is C(x) = x – 763.5a? - 46632x + 1338 and the demand…

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Q: Use Separation of Variables to find a solution in the domain (-∞, 1] with h(1) = 0.

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Q: The price of a product in a competitive market is $400. If the cost per unit of producing the…

A: The cost function per unit is 70 + 0.2x in dollars and x be the number of items produced per month.

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

A: Given Cost function , C(x) =150x + 12,000Revenue function R(x) = 240x

Q: The weekly revenue for a product is given by R(x) = 132x-0.0135x, and the weekly cost is C(x) =…

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 0.01x²…

A: Given that the demand function is Px=5000.01x2+1. We have to find the number of accessories must be…

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 company finds that the total cost of manufacturing x units of a certain product is given by C(x) =…

A:

Q: The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each…

A: Let's find.

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 − 30x + 0.75x2, where C…

A: Given,           A manufacturer of lighting fixtures has daily production costs of  C(x) =…

Q: The monthly total revenue from a certain product sales of x unit is given as: R(x) =12x – 0.01x²…

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A: Given, function is

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: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

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 +…

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.