The proft for a product a given by P)=- 1x 1760 - 26800, wherexisthe nunber of uit produced and soid. How many unts ge brea even that gve pro tor he product The number of units that give the break ven torthis prodact are Bhe a comma to separate amwes as needed
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- The Marginal Revenue function for a company's product is:MR = 240000 - 22xwhere x equals the number of units sold. If total revenue equals 0 when 0 units are sold, determine the total revenue.Cost, revenue, and profit are in dollars and x is the number of units. If the total profit function is P(x) = 3x – 18, find the marginal profit MP. MP = What does this mean? O This is the total cost. O The next unit sold costs this much to make. O This is the total revenue. O The next unit sold earns this much profit. O This is the total profit.The revenue for selling x units of a product is R = 150x. The cost of producing x units is C = 125x + 800. For what values of x will this product generate a profit?
- How much would be needed today to provide an annual amount of $50000 each year for 20 years, at 9% interest each year? a. $546,000 O b. $456,427 O c. $645,000 O d. $456,000Suppose a ceiling fan manufacturer has the total cost function C(x) = 35x + 1200 and the total revenue function R(x) = 65x. (a) What is the equation of the profit function P(x) for this commodity? P(x) = (b) What is the profit on 20 units? P(20) = Interpret your result. The total costs are less than the revenue. The total costs are more than the revenue. The total costs are exactly the same as the revenue. (c) How many fans must be sold to avoid losing money? fansThe total revenue function for a product is given by R=805 x dollars, and the total cost function for this same product is given by c=24500+70x+x square, 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 26 units are produced and sold? c. What is the profit when 40 units are produced and sold? d. How many units must be sold to break even on this product?
- using the price p=20 - .05x, use the Revenue function to find the marginal Revenue function R'(x), Find a. R'(100)= b. R'(175)= c. R'(250)= The marginal Revenue R'(x) approximates how the revenue will change on the sale of the next item. a. Given R(100) = 642 and R'(100)= 18 then R(101) ≈ b. Given R(400) = 16,250 and R'(400)= -10 then R(401) ≈ c. Given R(1000) = 3500 and R'(1000) = 3 then R(1001) ≈The profit function of a company is P(x) = x² – 400x + 40000, then the break-even point is Select one: O a. 400 O b. 40000 O c 200 O d. 0The price of a product is expressed as ?, PHP = 10 – 28? where ? is the demand. Which of the following correctlyexpresses the total revenue? 10 − 28?2 28? = 10 10? − 28? 10? − 28?2
- Suppose that the profit (in dollars) from the sale of Kisses and Kreams is given by P(x, y) = 10x + 6.9y-0.001x²-0.045y² where x is the number of pounds of Kisses and y is the number of pounds of Kreams. Find P/ay, and give the approximate rate of change of profit with respect to the number of pounds of Kreams that are sold if 100 pounds of Kisses and 14 pounds of Kreams are currently being sold. (Give an exact answer. Do not round.) What does this mean? If the number of pounds of Kisses is held constant and the number of pounds of Kreams is increased from 14 to 15, the profit will increase by approximately $ Need Help? Read It Watch itSuppose that the total cost function, in dollars, for the production of x units of a product is given by the equation shown below. C(x) = 4,500 + 30x + 0.2x² Then the average cost of producing x items is represented by the following equation. total cost 4,500 C(x) + 30 + 0.2x (a) Find the instantaneous rate of change of average cost with respect to the number of units produced, at any level of production. (b) Find the level of production at which this rate of change equals zero. X = (c) At the value found in part (b), find the instantaneous rate of change of cost and find the average cost. instantaneous rate of change of cost average cost What do you notice?A company produces and sells a product. The company has found that the costto produce x units of the product is given by C(x) = 50x + 200 (in dollars),and the revenue from selling x units is given by R(x) = 100x - x? (in dollars).What is the number of units the company should produce and sell to maximize profit