For the cost function c=0.6q2 + 3.6q+6, how fast does c change with respect to q...
An amount of $10,000 is deposited in an account with an interest rate ofr percent per year, compounded monthly. At the end of 2 years, the balance in the account is 24 r glven by A 10,000 1+ 1200 Find the rate of change of A with respect to r (written as a percentage) for the interest rates given in parts (a). (b) and (c) below (a) Suppose r 1.5% Then the rate of change of A with respect to...
The estimated short-run cost function of a Japanese beer manufacturer is C(q) = 0.4915. 1.000 At what positive quantity does the average cost function reach its minimum? If a $500 per-unit tax is applied to the firm, at what positive quantity is the after-tax average cost minimized? Average cost before the tax is minimized at a quantity of units. (Enter your response rounded to three decimal places) units. (Enter your response rounded to three decimal Average cost with the $500...
Question Help %) Bus Econ 11.3.31 Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000, from 2000 to 2006, and from 1994 to 2006 Employment What is the average rate of change of the percentage of new employees from 1994 to 2000? % per year (Type an integer or a decimal rounded to two decimal places as needed.) 96 -1 Year Enter your answer in the answer box and...
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) = 4x + 20, when x = 30 and dx/dt = 20 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.
For the cost and price functions below, find a) the number, 9. of units that produces maximum profit; b) the price,p.per unit that produces maximum profit, and c) the maximum proft, P. C(q) = 90 + 170: p=61-29 a) The number, q, of units that produces maximum profit is q=0 b) The price,p.per unit that produces maximum profit is pus c) The maximum profis- After a great deal of experimentation, two college ir physics majors determined that when a bottle...
Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x)-2-x-1,1 (a) The approximated area when using two rectangles is square units (Type an integer or decimal rounded to two decimal places as needed.) (b) The approximated area when...
athe matil Employment 30 Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000, from 2000 to 2006, and from 1994 to 2006 What is the average rate of change of the percentage of new employees from 1994 to 2000? 25 20 15 [% per year (Type an integer or a decimal rounded to two decimal places as needed) Percent 10 5 0 HE 98 00 0264 06 10 urces...
Bus Econ 13.5.69 Question Help A company manufactures mountain bikes. The research department produced the marginal cost function C(x)-500-งิ 0sxs900 where C(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 600 bikes per month to 900 bikes per month. Set up a definite integral and evaluate it. The increase in cost is s Bus Econ 13.5.81 := Question Help Given the supply function p=S(x)...
Consider a monopolist with the cost function C(q) = 6q, facing the market demand function D(p) = 20 − 2p. (a) Find the monopoly quantity and price, the monopolist’s profit and the con- sumer surplus. (b) Now suppose that the government gives to the monopolist a subsidy of $2 per unit sold. Find the monopoly quantity and price, the monopolist’s profit, the consumer surplus, and the cost of the subsidy. (c) How does this subsidy affect total surplus (taking into...
2) The cost function for Acme Laundry is C(q) = 10 + 10q+q?, where q is tons of laundry cleaned. Assume that the market is perfectly competitive. a. What q should the firm choose to maximize its profit if the market price is p? How much does it produce if p=50? b. Assume that the government imposes a per unit tax of r =2. How much should the firm produce to maximize its after-tax profit if the market price is...