Question: The cost of producing q items is C(q) = 2500 + 12q dollars. (a) What is the marginal cost of producing the 100 th item?

The cost of producing q items is C(q) = 2500 + 12q dollars.
(a) What is the marginal cost of producing the 100^th item? the 1000^th item?
(b) What is the average cost of producing 100 items? 1000 items?

Step by Step Solution

★★★★★

3.32 Rating (146 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The marginal cost of producing the q th 0 item is simply Cq 0 or the s... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

A company estimates that the marginal cost (in dollars per item) of producing items is 1.92 - 0.002x. If the cost of producing one item is $562, find the cost of producing 100 items.

Let C(x) represent the cost of producing x items and p(x) be the sale price per item if x items are sold. The profit P(x) of selling x items is P(x) = x p(x) - C(x) (revenue minus costs). The average...

A firm owns two production plants that make widgets. The plants produce identical products and each plant (i) has a production function given by Qi = KiLi, for i = 1, 2. The plants differ, however,...

The cost to produce q items is C (q) = 1000 + 4q dollars. Find the marginal cost of producing the 20th item. Interpret your answer in terms of costs. The marginal cost of producing the 20th item is $...

Math 122 Exam 1 Review Name: __________________________ 1. From the following table, A. Find f(2) B. Find the value(s) of x for which f ( x) 1 . If there is more than one, list them in increasing...

this is my question, The cost of producing q items is C(q) = 3000 + 30c] dollars. (a) What is the marginal cost of producing the 100th item? the 1000th item? The marginal cost to produce the 100th...

*A student has 517000 in student Loans. The loans are to be repaid over 10 years at a rate of 4.?596. Assume the payments are made at the end of each month. a) What type of Problem is this? b] How...

Read the document \"Rates of Change in the Social Sciences\" before answering question 15 -18. 15. A company determines that the cost, in dollars, of producing 1: items is C(x) = 55000 + 23x +...

The national health care expenditures, H, in trillions of dollars, can be modeled by H(t) = 1.53\"\The total cost function for a product is C(22) = 3751mm + 10) + 190-3, where cc is the number of...

managerial economics In a Nutshell In this part, you are going to jot down what you have learned BELOW. The said statement of yours could be in a form of concluding statements, arguments, or...

L.L. Bean is a large U.S. retailer that depends heavily on its catalog sales. It collects data internally and tracks the number of catalogs mailed out, the number of square inches in each catalog,...

When a company makes an expenditure that is neither a payment to a creditor nor a distribution to an owner, management must decide if the expenditure should be capitalized (recorded as an increase in...

Identify the assumptions made in the rate of return ( ROR ) analysis to select the independent projects. ( MARR is the minimum rate of return ) There is no comparison on the extra irvestment. All...

How do I help participants get past intellectualizations and reveal their real feelings?

It has been reported that about 35% of U.S. adults attended a sports event during the previous year. What are the odds that a randomly selected U.S. adult attended a sports event during the year?

A newspaper article reported that Massachusetts had become the second state (after Montana) to prohibit sex to be used as a factor in determining insurance premiums. Considering the information in...

If a die is rolled one time, classical probability would indicate that the probability of a two should be . If the die is rolled 60 times and comes up two only 9 times, does this suggest that the die...

Sales Sales discounts Sales returns and allowances Cost of goods sold Carrier Lennox Trane York $154,000 $630,000 $ 42,000 $ 261,000 5,000 14,000 600 3,800 18,000 6,000 4,300 700 88,556 393,450...

Check my work 3 At the end of 2017, Payne Industries had a deferred tax asset account with a balance of $8 million attributable to a temporary book-tax difference of $40 million in a liability for...

Lansbury Inc., 31 Aralk 2019 itibariyle aadaki bilanoya sahiptir. LANSBURY INC. BLANO 31 ARALIK 2019 Nakit 20.000 $ Bor hesaplar 30.000 $ Alacak hesaplar 21.200 Bor senetleri (uzun vadeli) 41.000...