The profit for a product is increasing at a rate of $ 5600 per week. The...
The profit from the sale of a certain product is increasing at a rate given by P'(x) = 150x1/3, P(0) = 0 where x represents the number of weeks since the product was made available for sale. Determine P(x).
Just need help with 41! 41: A) What is the rate of change of price with respect to the quantity demanded when q=49? B) Interpret your answer. 37. Revenue The revenue from the sale of a product is R = 1500x + 3000(2x + 3)-1 - 1000 dollars where x is the number of units sold. Find the marginal revenue when 100 units are sold. Interpret your result. 38. Revenue The revenue from the sale of x units of a...
(1 point) A company finds that the rate at which the quantity of a product that consumers demand changes with respect to price is given by the marginal-demand function D'(x) = -2000 where x is the price per unit, in dollars. Find the demand function if it is known that 105 units of the product are demanded by consumers when the price is 20 dollars per unit. Demand function D(x) = (1 point) Find the area under the curve 2x-1...
Suppose that the price p, in dollars, and the weekly sales x, in dozens of units, of a certain cannabis commodity satisfy the demand equation 6p3 + 2x2 = 234. Determine the rate at which sales are changing at a time when x = 6, p = 3, and the price is increasing at $.25 per week. Be clear in your answer as to whether sales are rising or falling.
The weekly demand function is given by p + x + 4xp = 42, where x is the number of thousands of units demanded weekly and p is in dollars. If the price p is increasing at a rate of 26 cents per week when the level of demand is 3000 units, which one of the following statements is true? O Demand is increasing at 260 units per week O Demand is decreasing at 280 units per week O Demand...
Please find the rate of change for the total revenue, cost, and profit. Not just the total revenue! Thank you! Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars R(x) = 40x-0.5X, C(x) = 3x + 15, when x = 35 and dx/ dt = 15 units per day The rate of change of total revenue is $per day. Find the rate of change of total...
3) Suppose that the price p (in dollars) and weekly sales x (in 1000s) of light bulbs satisfy the demand equation 2p, + x2-275. Determine the rate at which sales are changing per week at a time when x-4, p-6, and price is falling at the rate of $0.30/week 4) If a cost function is Cx) ma find the marginal cost when x 3. Round you answer to 2 decimal places 5) Find the derivative: y = eB- 6) Show...
Quesuon Help Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and CIX) are in dollars. R(x) = 40% - 0.5X². Cix) = 5x + 20, when x =25 and dx/dt = 20 units per day Arde
Rate of change Question 2 A product is being sold currently for $25 with the price increasing at the rate of $2 per year. At this price, customers buy 150 thousand items but the quantity being bought is decreasing at the rate of 8 thousand per year Remember Revenue R(t) Quantity Q(e) x Price P(t) and show units. (a) If Q(0) is 150 (thousand) items, what is q'(0)? (b) What is P(O) (c) Hence find the rate at which the...
Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars. R(x) = 50x -0.5xC(x) = 6x + 10, when x = 40 and dx/dt = 15 units per day The rate of change of total revenue is $ per day. The rate of change of total cost is $ per day. The rate of change of total profit is $ per day.