If the total cost of producingxitems is given by the expressionC(x) = 500 + 90x and the total revenueis expressed by R(x) = 150x−x2, complete the following tasks. (a) Find the break-even point(s). (b) Write an expression for the profit. (c) Find the level of production that maximizes profit? What is the maximum profit?

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

A:

Q: Suppose the cost and revenue functions of a company are R(x) = 60x and C(x) = 360 + 40x + 0.1 x²…

A:

Q: The manufacturer of a CD player has found that the revenue R (in dollar) is R(p)=-5p^2+1,090p, when…

A: The revenue function is R(p)=-5p2+1090p where unit price is p dollars. Differentiate with respect to…

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

A: Given, The cost function is C (x)=30x+100 The revenue function is R(x)=-0.5(x-90)2+4,050 The maximum…

Q: The Penn State Math Club has determined that in order to successfully tutor x Math 110 students in…

A: Consider the price function defined as, p(x)=140-5x The cost function is defined as, Cx=2x+70 The…

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

A:

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

A:

Q: A firm can produce 500 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Explained below...

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

A:

Q: A firm can produce 400 units per week. If its total cost function is C = 700 + 1500x dollars and its…

A: Given  total cost function is C = 700 + 1500x dollars total revenue function  R = 1900x − x2 dollars…

Q: A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the…

A: Find the profit function P(x) as the difference of the revenue function R(x) and cost function C(x).…

Q: Thando furniture manufacturer, determines that in order to sell x chairs, the price per chair in…

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: 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: A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per…

A: Given that, The total production cost (in dollars) for x units is: C(x) = 15000 − 125x + 0.025x2…

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: A phone manufacturer finds that the cost in Omani Rials f of making x phones per day is given by…

A: A function f(x) will have its minimum value at a point x=a, when the first derivative of the…

Q: An appliance company determined that in order to sell X dishwashers, the price per dishwasher must…

A:

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

A:

Q: A firm can produce 200 units per week. If its total cost function is C = 400 + 1300x dollars and its…

A: topic - application of derivatives

Q: Given the cost function C(x) = 0.85x + 35,000 and the revenue function R(x) = 1.55x, find the…

A:

Q: Plz solve

A: Given: Where x is unit cost of chips, y is cost of unit of labor.

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

A:

Q: a firm hasn total weekly revenue in dollars for its product given by R(x)=2800x-8x2-x3, where x is…

A:

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: Given the profit function P(x)= 500x - x^2/ 100, where x is the number of units sold. Find the x to…

A:

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: The selling price P of an item is 100- 0.02x dollars, where x is the number of items produced per…

A:

Q: A liquid form of penincillin manufactiured by a pharmaceutical firm is sold in bulk at a price of…

A: Total selling price of x unit of penicillin= $200x Profit, p(x)= Selling Price- Cost price…

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 firm can produce 100 units per week. If its total cost function is C = 600 + 1400x dollars and…

A:

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

A: Given that: P(x)=32x-0.2x2-200

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

A:

Q: A firm can produce 300 units per week. If its total cost function is C = 300 + 1200x dollars and its…

A:

Q: . The total cost of making x units of a certain commodity is given by C= 0.005x3 + 0.45x²+ 12.75x.…

A: An optimization method is used to evaluate the maximum or minimum value of a function by…

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

A:

Q: Suppose a manufacturer of washing machines found that when the unit price is $x, the revenue R (in…

A:

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: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function is Cx=40x+100 and the revenue function is Rx=-0.5x-802+3200.Also the…

Q: The weekly revenue from the production and sale of x units of salt is given by R(x) = 172x – 2x²…

A: Given,  Revenue function: Rx = 172x-2x2   Cost function : Cx = 2x2+148x+6            Where 0≤x≤10…

Q: 4) If the total revenue function for a computer is R(x) = 45x + 3x? – x3 a) Find the level of sales,…

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 +…