The marginal cost function for a company is given by C'(q) = q 2 16q +

Question:

The marginal cost function for a company is given by

C'(q) = q² − 16q + 70 dollars/unit,

where q is the quantity produced. If C(0) = 500, find the total cost of producing 20 units. What is the fixed cost and what is the total variable cost for this quantity?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

See More Books

Question Posted: Mar 31, 2023 02:41 AM

See More Questions

If the marginal cost function for x units of a product is MC=1+3 ln (x+1) dollars per unit and if the fixed cost is $100, find the total cost function.
The Wilcox Company has two plants with the marginal cost functions MC1 = 20 + 2Q1 MC2 = 10 + 5Q2 where MC1 is marginal cost in the first plant, MC2 is marginal cost in the second plant, Q1 is output...
If the cost function for a commodity is C(x) = x3 - 4x2 + 30x + 20 dollars find the marginal cost at x = 4 units and tell what this predicts about the cost of producing 1 additional unit and 3...
Solve Utt = cUTT 0
For 2017, SoakNFun expects a sales mix of four individual tickets for every one family ticket. SoakNFun Swim Park sells individual and family tickets. With a ticket, each person receives a meal,...
product What is the drect mairits ponce variance? Mance Choice Stentiontorition 12016 foroube scmositerivile. subsintewoule
Explain the difference between a product mixs breadth and a product lines depth.
Roberta Santos, age 41, is single and lives at 120 Sanbome Avenue, Springfield, IL 60781. Her Social Security number is 123-45-6789. Roberta has been divorced from her former husband, Wayne, for...
At the beginning of June, Circuit Country has a balance in inventory of $3,000. The following transactions occur during the month of June. June 2 Purchase radios on account from Radio World for...
The value, V , of a Tiffany lamp, worth $225 in 1975, increases at 15% per year. Its value in dollars t years after 1975 is given by V = 225(1.15) t . Find the average value of the lamp over the...
Estimate the integral using a left-hand sum and a right-hand sum with the given value of n. [2/1 + J-4 -4 2x + 1dx, n = 4
Why do U.S. corporations go international?
how is lateral force(fy) determined from this data Tyre Responses 1 1 1 1 1 1.3 1.3 1.3 1.3 1.3 1.6 1.55 1.45 1.27 1.1 Fz (N) 0 400 800 1200 1500 Slip Angle (deg) Fy1 (N) Fy2 (N) Fy3 (N) 0.0 0 0 0.5...
(13%) Problem 8: A wire is oscillated to create a wave of the form y(x,t) = Asin(x - 30t) == The wave is reflected from a fixed end producing a reflection of the form y2(x,t) = A sin(x + 30t) The two...
Using the definitions of even integer and odd integer, give a proof by contraposition that this statement is true for all integers n: If 5n+3 is even, then n is odd.
7. Design the formwork for a wall 8-ft (2.44-m) high to be poured at the rate of 5 ft/h (1.53 m/h) at a temperature of 77F (25C). The concrete mixture will use Type I cement without retarders and is...
tempt in Progress The City of Minden entered into the following transactions during the year 2026. 1. A bond issue was authorized by vote to provide funds for the construction of a new municipal...
Draw a figure to illustrate why the size of ethanol processing plants has fallen in recent years (see The Size of Ethanol Processing Plants Application).
a. What is the cost of borrowing if Amarjit borrows $28 500 and repays it over a four-year period? b. How many shares of each stock would he get if he used the $28 500 and invested equally in all...
A small tie shop sells ties for $3.50 each. The daily cost function is estimated to be C(x) dollars, where x is the number of ties sold on a typical day and C(x) = .0006x 3 - .03x 2 + 2x + 20. Find...
Draw the graph of a function f (x) for which the function and its first derivative have the stated property for all x. f(x) decreasing and f(x) increasing
Find two positive numbers x and y that maximize Q = x 2 y if x + y = 2.
Arnold inc. is considering a proposal to manufacture high end protein bars used as food supplements by body builders. The project requires an upfront investment into equipment of $1.4 million. This...
Billy Bob bank has three assets. It has $83 million invested in consumer loans with a 3-year duration, $46 million invested in T-Bonds with a 12-year duration, and $69 million in 6-month (0.5 years)...
Ventaz Corp manufactures small windows for back yard sheds. Historically, its demand has ranged from 30 to 50 windows per day with an average of 4646. Alex is one of the production workers and he...

The marginal cost function for a company is given by C'(q) = q 2 16q +

Question:

Step by Step Answer:

Since C0 500 the fixed cost must be 500 The total vari...View the full answer

Applied Calculus

Students also viewed these Mathematics questions