Suppose that for a certain company Cix) = 25x + 300,000 represents the total cost function,...
Suppose a company has fixed costs of $54,400 and variable cost per unit of 1/3x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2065 - 2/3x dollars per unit. (a) Find the break-even points. (b) Find the maximum revenue. (c) Form the profit function P(x) from the cost and revenue functions. Find maximum profit. (d) What price will maximize the profit
5 Q080 Break Even Analysis Page 159 Total Cost variable cost + fixed cost Break even when revenue = cost. Profit = revenue - cost A company manufactures a dish washer that sells to retailers for $550. R(x)=550 ** The cost of making x of these dish washer is given by the cost function C(x)=240x+1560 a. Write the revenue function and determine the revenue if 43 are sold. 3 points b. Determine the profit function. What is the profit if...
The total-cost, C(x), and total revenue, R(x), functions for producing x items are shown below, where 0 SXS 800 C(x) = 5900 + 100x and R(x) = - + 600X a) Find the total-profit function P(x). b) Find the number of items, x, for which the total profit is a maximum a) P(x) = b) The profit is maximized for a production of units
The point at which a company's costs equals its revenue is the break-even. C represents cost, in dollars, of x units of a product. R represents the revenue, in dollars, for the sale of x units. Find the number of units that must be produced and sold in order to break even. C = 1 5x + 1 2,000 R = 18x-6000 OA. 545 OB. 12,000 C. 6000 D 800
The total revenue function for a certain product is given by The total revenue function for a certain product is given by R=630x dollars, and the total cost function for this product is C = 10,000+ 30x + x2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit. a. P(x)= (Simplify your...
The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold? c. What is the profit when 43 units are produced...
Suppose a company has fixed costs of $51,200 and variable cost per unit of 1 3 x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1965 − 2 3 x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ (c) Form the profit function...
The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced...
Suppose the cost of producing x items is given by C(x)=1000-x^3, and the revenue made on the sale of x-items is R(x)=100x-10x^2. Find the number of items which serves as a break-even point.
The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of unitsR(x)=-0.8x2+608xC(x)=256x+36720(a) How many items must be sold to maximize the revenue?(b) What is the maximum revenue?(c) Find the profit function.(d) How many items must be sold to maximize the profit?(e) What is the maximum profit?(f) At what production level(s) will the company break even on this product?