36. Revenue Suppose that the revenue function for a certain product is given by R(x) =...
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...
Please solve all of them. 7. The revenue function for a product is given by 60x2 R(x) = 2x+1 a. Find the marginal revenue function The price of a product in a competitive market is $300. The cost per unit of producing the product is 160 + 0.1% dollars, where x is the number of units produced per month a. Find the marginal cost function. b. Find the marginal revenue function b. Find MR(100) and interpret your results. c. Find...
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...
D Question 1 1 pts If the cost of a certain product is given by C(x) - 130.4x find the marginal average cost function and use it to compute the marginal average cost of production when 5 items are produced. Give answer rounded to two decimal places. (1 point) Question 2 1 pts Gluen y = [lx' +2x + 4)(x + 1)l' calculate the derivative of this function when x 2 The derivative is L? (1 point 1 pts Question...
please help explain how to work these problems, Suppose a product's revenue function is given by R(q) = – 8q2 + 800q, where R(q) is in dollars and q is the number of units sold. Use the marginal revenue function to find the approximate revenue generated by selling the 39th unit. Marginal revenue = -624 ]* Preview dollars per unit Suppose a product's cost function is given by C(q) = -4q2 + 6000, where C(q) is in dollars and q...
For a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds. Cost: C2 = x2 + 102 VX +55 Revenue: 892(x - 5)2 + 25R2 = 16,900 dC a. Find the marginal cost dy at x = 5. The marginal cost is estimated to be $ (Do not round until the final answer. Then round to the nearest hundredth as needed.)
Suppose a company's revenue function is given by R(q) = - q° + 200q and its cost function is given by C(q) = 160 + 11q, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) B) How many items (in hundreds) need to be sold to maximize profits?...
The total revenue function for a certain product is given by Requals=440440x dollars, and the total cost function for this product is Cequals=20 comma 00020,000plus+4040xplus+x squaredx2 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.
3. The revenue function for a sound system is R(x) = 200x - x? dollars where x denotes the number of units sold. (a) What is the expression that gives marginal revenue? Solution: R(x) = 200x – x2 Expression that gives marginal revenue is R(x) = 200 – 2x. (b) What is the marginal revenue if 50 units are sold? Solution: 200 – 2(50) = 100
11) (6pts) Suppose that the sales of a particular product given by the function f(x) = 2x -120x2 +1800x+1000 units sold are where x is the number of days since the launch of the product. a) Determine the second derivative, f"(x) and include units with your answer. b) Find f"(15) and interpret what it means in terms of the problem. (Write out in a sentence.) 11) (6pts) Suppose that the sales of a particular product given by the function f(x)...