1. Assume a perfectly competitive market is represented by the functions Qd=-4p+ 400 and Qs=p. If a firm produces in this market subject to a total cost function of = TC 2Q2+25Q+ 100 determine the amount of revenue, the total cost, profit this firm will make. Note: this is not a realistic TC function, it is used for easy math purposes only)
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- Consider total cost and total revenue given in the following table: TABLE IN IMAGE Calculate profit for each quantity. How much should the firm produce to maximize profit?(ii) Calculate marginal revenue and marginal cost for each quantity. Graph them. (Hint: Put the points betweenwhole numbers. For example, the marginal cost between 2 and 3 should be graphed at 2½.) At what quantitydo these curves cross? How does this relate to your answer to part (a)?(iii) Can you tell whether this firm is in a competitive industry? If so, can you tell whether the industry is in along-run equilibrium? (8.75)7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x – 0.55x² for, where x is the number of transmissions. a) Determine the marginal Cost function C'(x). b) Determine when the Cost function is maximized. c) Determine the marginal cost function at the 100th item proe Explain significance of the marginal cost at this point. ed and sold. d) Determine the cost difference between 101st and 100th boat ( C(101) - C(100)). Is this value the same or different from the marginal cost from part c? Explain.22) Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Suppose a consultant tells Ace it can sell 700,000 heel repair kits, what price must it charge to achieve a profit of $2.5 million? (Please show your calculation steps
- 5. Rusty Trawler imports oil from Saudi Arabia. His cost function (for purchasing and delivering the oil) is TC = 5000+.1Q² where Q is the number of barrels of oil delivered. He may sell all the oil he can deliver for $60 per barrel (so TR = 60Q). Given these conditions, what are Rusty's maximum possible profits? a) $0 b) $300 c) $2,500 d) $4,000Q2)Tony Keonte owns a factory that manufactures Eye-Games. His weekly profit (in thousands of dollars) is given by the following function: P(x) = -4x2 + 80x- 300. Where x is the number of Eye-Games sold. a) What is the largest number of Eye-Games that the company can sell and still make profit? (25 points) b) How many Eye-Games will the firm have to produce and sell in order to maximize profit? (25 points)ONE A. Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be �ж=�35 �х=560+22�Ȓ� Where �is the quantity produced and the firm’s break-even is 5 units per week You are Required to I. determine the total cost and the total revenue function in terms of q.
- 8. Daisy's Doggie Treats has a marginal profit function given by m(x) = 0.34e0.02x dollars per bag of treats, where x is the number of bags of treats produced and sold each month. If production and sales increase from 200 to 250 bags each month, then profit will increase by which of the following? a) $31.90 b) $1,594.86 c) $72,242.76 d) $1,653.27 e) None of the above2. For the following total revenue and total cost functions of a firm: TR = 800Q – 10Q2 TC = (2/3)Q3 -30Q2 + 672Q +4000 (a) Determine the level of output at which the firm maximizes total profit (b) Calculate the profit (need step by step, please)Should a firm shut firm if its revenue is R = $1,500 per week and: a. Its variable cost is VC = $1,100 and its sunk fixed cost is F = $800? b. Its variable cost is VC = $1,600 and its fixed cost is F = $600? c. Its variable cost is VC = $1,100 and its fixed cost is F = $1000 ($800 of which is avoidable if it shuts down)?
- A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs are $ 50000. They will sell the CD's for $ 79 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C =$ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. P=$ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Question Help: Video Submit Question1. The total cost of producing a quantity q is C(q). The average cost a(q) is given in figure below. The following rule is used by economists to determine the marginal cost C'(q0), for any qo: Construct the tangent line ti to a(q) at qo. Let t, be the line with the same vertical intercept as t, but with twice the slope of t, . Then C'(q0), is the vertical distance shown in figure below. Explain why this rule works. $/unit a(q) t2 t1 C'(qo)4. Suppose a firm has a total cost (TC) function over its output (y > 0) given by TC(y) = 3y² + 7y + 24 (a) What is the firm's average cost function (AC)? (b) What is the firm's marginal cost function (MC)? (c) Over what range of y is the firm's AC declining? (d) Show that (i) MC AC when AC is increasing