Suppose a company has fixed costs of $3600 and variable costs per unit of  3/4x + 1370 dollars,  where x is the total number of units produced. Suppose further that the selling price of its product is  1500 − 1/4x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x =        (b) Find the maximum revenue.$ (c) Form the profit function P(x) from the cost and revenue functions. P(x) =        Find the maximum profit.$ (d) What price will maximize the profit? (Round your answer to the nearest cent.)

Q: Suppose that the total cost of producing q widgets is given by C(q) = 0.02q + 50g + 1000. Also,…

A: Given that, Total cost C(q) = 0.02q2 + 50q + 1000 Price of a widget p = 100 - 0.005q  a) Total…

Q: Suppose a company has fixed costs of $64,000 and variable cost per unit of x + 444 dollars, where x…

A: Given. We are given the cost function and revenue function respect to the number of units produced…

Q: If, in a monopoly market, the demand function for a product is p=228-0.4x and the revenue function…

A: The revenue function is, R(x) = p•x = (228 - 0.4x)x = 228x - 0.4x² So, R'(x) = 228 - 0.8x  &,…

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: Suppose a calculator manufacturer has the total cost function c(x)=38x+6200 and the total revenue…

A: Explanation of the answer is as follows

Q: If the profit function for a firm is given by P(x) = −1600 + 170x − x2 and limitations on space…

A:

Q: Suppose a company has fixed costs of $38,400 and variable cost per unit of 4/9x + 444 dollars, where…

A: Given Data: The fixed cost of the company is: FC=$38400 The variable cost per unit is: VC=49x+444…

Q: 4. The profit function of Firm GG is n=-2q2+280q. What is the profit maximizing quantity?What is the…

A:

Q: If the coffee's demand function is q = 192 - p2, at what price where the revenue is maximized and…

A:

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 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: For a certain product, suppose that total costs are given by c(x) = 1600 + 1500x and total revenues…

A: Given,           For a certain product, suppose that total costs are given by c(x) = 1600 + 1500x…

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: Suppose a company has a fixed cost of $300 and a variable cost per unit of 3/4x+1460, where x is the…

A:

Q: Suppose a company has fixed costs of $30,800 and variable cost per unit of 1/3x + 444 dollars,…

A:

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: The total revenue curve of a firm is R(q) = 40q − 12q and its average cost A(q) = 1 30 q − 12.85q +…

A:

Q: Financial analysts in a company that manufactures ovens arrived at the following daily cost equation…

A:

Q: If the total revenue function for a computer is R(x) = 2600x − 11x^2 − x^3, find the level of sales,…

A:

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A:

Q: For producing a certain product, if total costs can be represented by C(x) = 1600 +1500x, and the…

A: Break even point is the point where the revenue function and the cost function is equal. Find the…

Q: Solve the problem. Given the total-revenue function R(x) = 7600x, and the total-cost function C(x) =…

A: A graph is said to be continuous at a point if its graph does not break at that point. Also, LHD…

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 for producing x items is C(x) =40x+100   The revenue function for…

Q: Suppose a company has fixed costs of $30,000 and variable cost per unit of + 444 dollars, where x is…

A:

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue…

A: The break even point is the point where the revenue of the given production is equal to the cost of…

Q: If a profit function of a firm is given by P(x) = -1500 + 160x - x^2 and limitations on space…

A: Given - If a profit function of a firm is given by Px = -1500 + 160x - x2 and limitations on space…

Q: Suppose a company has fixed costs of $54,400 and variable cost per unit of 4/9x + 222 dollars, where…

A: Given the fixed cost of a company is $54400 and the variable cost per unit is 49x+222 dollars,…

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 cost function C(x)= 1600-22x+xsquare and the revenune function R(x)=…

A:

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A:

Q: 12. Suppose the cost of a product with a quantity of x is C(x) = 2x² - 6x² + 15x, and the income…

A:

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

A:

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $800 per unit. If the daily total…

A: A chemical manufacturer sells sulfuric acid in bulk at a price of $800 per unit.If the daily total…

Q: In this problem, p and C are in dollars and x is the number of units. A monopoly has a total cost…

A: Given Cost function       C=1,000+108x+2x2  and demand function P = 324-3x-2x2

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

A:

Q: Suppose that for a certain​ company,​C(x)=25x+2100 represents the total cost​ function, and…

A:

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: If the profit function for a firm is given by P(x) = -2400 + 140x - x and limitations on space…

A: Break- even point of the profit function

Q: If the profit function for a firm is given by  P(x) = −5700 + 220x − x2  and limitations on space…

A: A company’s break-even points occur where the revenue function and the cost function have the same…

Q: Suppose a company has fixed costs of $32,000 and variable cost per unit of 1/3x + 444 dollars,where…

A: It is given that,

Q: A firm can produce 500 units per week. If its total cost function is  C = 200 + 1000x  dollars and…

A: Given:

Q: If, in a monopoly market, the demand for a product is p = 2100 x and the revenue is R = px, where x…

A: Maximize revenue

Q: Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit…

A: First, differentiate the profit function πq=1526q-q2-q2+11q with respect to q to maximize profit.…

Q: A firm sells a product for $80 per unit. Raw material costs are $12,50 per unit, labor costs are…

A: a) To determine: The profit function: It is given that x are the sold units. Now we know that,…

Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: suppose that the price per unit in dollars of a cell phone production is modeled by p=$85-0.0125x,…

A:

Q: 3. Suppose that the revenue in selling r tables is equal to 200x – 0.25x2 dollars, and producing a…

A:

Q: If the total revenue function for a computer is R(x) = 1800x - 23x2 - x³, find the level of sales,…

A: