A manufacturer of nne pens produces in two plants. The total cost of producing in the nrst plant is given by TC1 yỉ + 100. The total cost of producing in the second plant is given by TC, * + 200. In these cost functions, y1 corresponds to the number of pens produced in the first plant, and y2 corresponds to the number of pens produced in the second plant. Suppose the firm's marginal cost is $256. If the firm is minimizing costs, the firm must be producing pens.
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- A manufacturer of fine pens produces in two plants. The total cost of producing in the first plant is given by TC₁ = y² + 100. The total cost of producing in the second plant is given by TC₂ = ¹ +200. 3 In these cost functions, y₁ corresponds to the number of pens produced in the first plant, and y2 corresponds to the number of pens produced in the second plant. Suppose the firm is producing 20 pens in the second plant. If the firm is minimizing costs, total costs for the firm must equal $ . (Give your answer to two decimals.)A firm has a fixed production cost of $4000. For the first 100 units of production, the firm has a marginal cost of $50 per unit produced. Producing more than 100 units has a marginal cost of $70 per unit produced. The firm cannot produce more than 150 units. How much does it cost to produce at q=0? at q=50? at q=100? at q=125? at q=150? Graph the firm’s marginal cost functionY6 questions1. A firm produces TVs and ovens witha joint cost function that takes the form:C(x,y) = 3x^2 + 2y^2 + 2xy where x and y are the firm's output of TVs and ovensrespectively. Suppose the cost function is subject to the constraint on the total output ofthe firm in the form 2x + y = 35.a) Find the optimum values x and that minimize the firm's total cost.b) Check your answer in (a) by using the bordered Hessian matrix.c)Determine the optimum value of the Lagrange multiblier À. Interpret your answer.
- Suppose the firm achieves total revenue of $1,000 by selling 150 units while facing total costs of $900. If the firm produces and sells 151 units, its total revenue is $1,005, and its total costs are $950. Should the firm produce and sell the extra unit? Group of answer choices yes, since marginal profit is positive yes, since profits are positive no, since marginal profit is negative no, since marginal profit is positive You have recently learned that the company where you work is being sold for $1,000,000. The company's income statement indicates next year's profits of $30,000, which have yet to be paid out as dividends. Assuming the company will remain a "going concern" indefinitely and the interest rate will remain constant at 7%, at what (constant) rate does the owner believe that profits will grow? (Hint: the price the owner was willing to pay is the present value of the firm's future cash flows) Group of answer choices 6% 5% 4% 4.5%Pretty Designs, Inc. makes flower pots. Suppose that their average total cost of production is $60 when 5 flower pots are produced. Suppose the marginal cost of the sixth flower pot is $120. What is Pretty Designs' average total cost when six flower pots are produced?Suppose a firm's total cost and marginal cost are given by TC= 200 + 100+90 and MC = 10 + 180. The output level that minimizes average total cost is 18 22.22 10 20 0000
- In 1796, Gottfried Christoph Hartel, a German music publisher, calculated the cost of printing music using an engraved plate technology and used these estimated cost functions to make production decisions. Hartel figured that the fixed cost of printing a musical page-the cost of engraving the plates-was 900 pfennigs. The marginal cost of each additional copy of the page was 5 pfennigs (Scherer, 2001). Graph the average total cost, average variable cost, and marginal cost functions. 1.) Using the three-point curved line drawing tool, plot the average cost curve. Let the three points correspond to quantities of 20, 60, and 180 units of output. Label this curve 'AC.' 2.) Using the line drawing tool, draw the marginal cost curve. Label this curve 'MC.' 3.) Using the line drawing tool, plot the average variable cost curve. Label this curve 'AVC.' Carefully follow the instructions above, and only draw the required objects. CH pfennigs, cost per page 50- 45- 40- 35- 30- 25- 20- 15- 10- 01 5-…draw the marginal and average cost curves of companies p and q where Firm p: Cost= 4Q Firm q: Cost = 10 + 4Q you are also told that each of the two firms have maximum production capacity of 40,000 (max quantity) which is produced in batches of 4,000.7. A fast-food company in Hermanus has the following cost function: TC = 10 + 3K + 2L, where L is the number of labour hours and K is the number of machines they have to use. They have a production function of Q = 2KL, where Q represents the number of meals produced per day. The company has to make at least 75 meals every day. Using the Lagrangian method of production optimization, calculate the optimal number of labourers and machines needed to meet this quota. (6)
- Yennefer produces spells. Suppose q is the quantity of spells produced. Her Total Costs are given by TC(q)=101+q^2 and her Marginal Costs are given by MC(q)=2q. What is the quantity of spells that minimizes her Average Total Cost?A firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.Johnson produces bottles. Suppose q is the quantity of bottles produced. Her Total Costs are given by TC(q)=388+q^2 and her Marginal Costs are given by MC(q)=2q. What is her minimum Average Total Cost?