Find the rate of change of total revenue, cost, and profit with respect to time. Assume...
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...
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
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.
$ Given the revenue and cost functions R = 36% - 0.6x? and C - 6x + 9, where x is the daily production, find the rate of change of profit with respect to time when 20 units are produced and the rate of change of production is 6 units per day O A $156 per day OB. $72 per day OC. $172.8 per day OD. $36 per day
Solution: Total revenue - price*quantity Profit- total revenue - total cost Marginal revenue change in revenue/change in quantitty Average total cost-total cost/quantity Marginal Marginal Change Average al rofirevenue TotalTotal revenue cost Quantity Price profit cost 0 0 16 16 15 30 14 42 13 52 12 60 11 66 10 70 20 4 16 300 36 6 12 4210 10 501 63 з 16 84-14 4 -4 14 4 12 4 4 10.5 10 8 13 10.5 17 10 We...
please do all three
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Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product changes at the rate C'(x) = -8x-2 + and the average cost of 8 units is $12.00. (a) Find the average cost function. T(X) = (b) Find the average cost of 16 units. (Round your answer to the nearest cent.) Cost, revenue, and profit are in dollars and x is the number of...
Given that x and y are functions of time, find the indicated rate of change. Find dy/ dt when x equals = 2 and dx/ dt equals = −3, given that x3+y3=35.
Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars. R(x) = 50x-0.5x2, C(x) = 4x + 15 In order to yield the maximum profit of $ units must be produced and sold. (Simplify your answers. Round to the nearest cent as needed.)
DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 55x and that the total cost function is c(X) - 1700 + 35x + 0.01x2. (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. on the sale of the next (501st) unit. Explain what...
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...