Part 1 of 240%, 2 of 5 pointsPoints: 0 of 1SaveThe marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the fiftieth product is $6.30, then it cost $6.30 to increaseproduction from 49 to 50 units of output. Suppose that the marginal cost C (in dollars) to produce x digital cameras is given by C(x)=0.03x²-6x+350. How many digital cameras should be produced tominimize marginal cost? What is the minimum marginal cost?digital cameras should be produced to minimize marginal cost

To minimize the marginal cost of producing digital cameras, we need to find the minimum point of the…

Answered: Part 1 of 2 40%, 2 of 5 points Points:…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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.(a) A firm has production function q(k,l) = k'/³1²/3, where k denotes the capital used and I denotes the labour employed. Suppose that each unit of capital costs v dollars and each unit of labour costs w dollars, so that the capital and labour costs are vk + wl. Use the Lagrange multiplier method to determine the values of k and I that minimise the cost of producing Q units of the firm's good. Find the corresponding minimised value, C, of this cost and the value, X*, of the Lagrange multiplier corresponding to the optimising values of k and l. Show that d* =
Introduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of a firm, a topic in microeconomics. An important function is the cost function function C (z), the cost of producing z items (of whatever they are selling). This question deals with just the cost function C (z). Problem Set question: The cost, in dollars, of producing z units of a certain item is given by C (z) = 5z – 8/I – 3. Find the production level that minimizes the average cost per unit. The number of units that minimizes the average cost is Number
Ten-year old Sarah is starting a lemonade stand, she uses baskets of lemons (L) and other ingredients (O). She is able to produce lemonade according to the production function f(L, O) = 1 2 L 2O. The cost of a basket of lemons is $10 and the average cost of the other goods is $4. (a) Derive MPL and MPO. (b) Currently Sarah is using 4 baskets of lemons and 40 units of the other goods. Using this information, calculate MPL and MPO. (c) True/False. At her current use of inputs Sarah is minimizing costs. If true, explain why. If false, what would you recommend Sarah do? (d) Sarah wants to produce 320 units of lemonade. Determine the cost minimizing combination of inputs to use. (e) Assuming no changes in the market price of lemonade nor in the prices of the inputs, if Sarah continues to produce 320 units of lemonade in the long run, what will Sarah’s long run costs be.
5. An entrepreneur has costs for storing and shipping materials for his manufacturing process given by the function C (k) = 100 (100 + 9k + 144 / k) when 1 ≤ k ≤ 100, where C (k) is the cost total storage and transportation for 100 days of operation. If a load of k tons of material moves every k days, for what values of k does C (k) have a minimum value?
Consider an airline's decision about whether to cancel a particular flight that hasn't sold out. The following table provides data on the total cost of operating a 100-seat plane for various numbers of passengers. Total Cost Number of Passengers (Dollars per flight) 40,000 10 60,000 20 65,000 30 68,000 40 70,000 50 71,000 60 72,500 70 73,500 80 74,000 90 74,300 100 74,500 Given the information presented in the previous table, the fixed cost to operate this flight is s At each ticket price, a different number of consumers will be willing to purchase tickets for this flight. Assume that the price of a flight is fixed for the duration of ticket sales. Use the previous table as well as the following demand schedule to complete the questions that follow. Price Quantity Demanded (Dollars per ticket) (Tickets per flight) 1,000 700 30 400 90 200 100
To produce the next popular toy, a company has to pay a factory $250, 000 to set up the production line. They also have to pay $25 per item for the raw materials and labor. Write function for the average cost to produce x items. Then describe what happens to the average cost as the factory produces a large number of toys.
Yummy Gummies, Inc. makes boxes of individually packaged gummies. The company has a cost function given by C(x) dollars when x boxes of Yummy Gummies are made. If C '(100) = $3.50 per box, which of the following can we conclude from this information? %3D O The approximate cost of making the 100" box of Yummy Gummies is $3.50. O The exact cost of making the 99h box of Yummy Gummies is $3.50. The approximate cost of making the 101“ box of Yummy Gummies is $3.50. O The approximate cost of making the 99 box of Yummy Gummies is $3.50. O The exact cost of making the 101st box of Yummy Gummies is $3.50.
type plz
The marginal cost of producing the xth box of light bulbs is 4 + x2 dollars per box. Determine how much is added to the total cost by a change in production from x = 20 to x = 80 boxes. 1,000
3. Suppose that the feasible region of a cost minimization linear programming problem has three corners points of (5,8), (10,5), and (4,10). If the objective function is given as: Minimize Z = 2X + Y Which of the following represents an iso-cost line? Select one: a. X + 2Y = 10 b. X – Y = 10 c. 2X – Y = 10 d. 2X + Y = 10 e. none of the other options.

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