A competitive firm has following SHORT RUN cost function: C = 4 + 2q3- 4q2 + 20q Answer: (a) Obtain in a table average total cost (ATC), average variable (AVC) and marginal costs (MC). Plot on a graph b) In what price interval will firm offer zero output? Identify on your graph c) Identify the supply curve in graph d) At what price will firm offer exactly 8 units?
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A competitive firm has following SHORT RUN cost function: C = 4 + 2q3- 4q2 + 20q
Answer:
(a) Obtain in a table
b) In what price interval will firm offer zero output? Identify on your graph
c) Identify the supply curve in graph
d) At what price will firm offer exactly 8 units?
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- The following graph plots the marginal cost (MC) curve, average total cost (ATC) curve, and average variable cost (AVC) curve for a firm operating in the competitive market for sun lamps. COSTS (Della) 72 04 8 56 24 16 . 0 Price (Dollars per lamp) MOD 8 12 36 48 60 10 ATC AVC 40 00 QUANTITY (Thousands of lamps) For every price level given in the following table, use the graph to determine the profit-maximizing quantity of lamps for the firm. Further, select whether the firm will choose to produce, shut down, or be indifferent between the two in the short run. (Assume that when price exactly equals average variable cost, the firm is indifferent between producing zero lamps and the profit-maximizing quantity of lamps.) Lastly, determine whether the firm will earn a profit, incur a loss, or break even at each price. Quantity (Lamps) ? Produce or Shut Down? Profit or Loss?A profit-maximising firm in a competitive market is currently producing 1,000 units of output. It has average revenue of $50, average total cost of $40 and fixed cost of $10,000. a) What is its profit? b) What is its marginal cost? c) What is its average variable cost? Is the efficient scale of the firm more than, less than or exactly 1,000 units?The blue curve on the following graph represents the demand curve facing a firm that can set its own prices. Use the graph input tool to help you answer the following questions. You will not be scored on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. PRICE (Dollars per unit) 100 TOTAL REVENUE (Dollars) 90 80 20 10 0 1250 1125 1000 875 750 625 500 On the previous graph, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 10, 20, 25, 30, 40, or 50 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. 375 250 125 + 0 0 0 Demand 5 10 15 20 25 30 35 40 45 50 QUANTITY (Units) + 5 20 10 15 25 30 35 QUANTITY (Number of units) 40 Graph Input Tool Market for Goods 45 50 Quantity Demanded (Units)…
- (b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40−4q2where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit?Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2 Formulate the equation or level of fixed cost, variable cost, marginal cost, average variable cost (AVC) and average total cost (ATC) for each firm. Sketch a diagram to illustrate average total cost (ATC) and marginal cost (MC) for Q from 1 to 20. Identify the quantity at which the average total cost (ATC) reaches its minimum and interpret its economic or business implication. An innovation was diffused widely among all firms in the market. Adoption of this innovation will help to reduce 20% of the variable cost for any given level of production while all other factors remain the same. A firm needs to pay a fee of $5 to adopt the innovation. Formulate the new production cost functions (TC, TFC, TVC, ATC and MC) for each firm.A profit-maximising firm in a competitive market is currently producing 1,000units of output. It has average revenue of $50, average total cost of $40 and fixed cost of $10,000.a) What is its profit?b) What is its marginal cost?c) What is its average variable cost? Is the efficient scale of the firm more than, less than or exactly 1,000 units?
- Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2 i. Formulate the equation or level of fixed cost, variable cost, marginal cost, average variable cost (AVC) and average total cost (ATC) for each firm. ii. Sketch a diagram to illustrate average total cost (ATC) and marginal cost (MC) for Q from 1 to 20. Identify the quantity at which the average total cost (ATC) reaches its minimum and interpret its economic or business implication. iii. An innovation was diffused widely among all firms in the market. Adoption of this innovation will help to reduce 20% of the variable cost for any given level of production while all other factors remain the same. A firm needs to pay a fee of $5 to adopt the innovation. Formulate the new production cost functions (TC, TFC, TVC, ATC and MC) for each firm."The Hickory Cabinet and Furniture Company makes chairs. The fixed cost per month of making chairs is $7,500, and the variable cost per chair is $40. Price is related to demand, according to the following linear equation: v = 400 - 1.2p Graphically illustrate the profit curve developed . Indicate the optimal price and the maximum profit per month.Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2i. Formulate the equation or level of fixed cost, variable cost, marginal cost, average variable cost (AVC) and average total cost (ATC) for each firm.ii. Sketch a diagram to illustrate average total cost (ATC) and marginal cost (MC) for Q from 1 to 20. Identify the quantity at which the average total cost (ATC) reaches its minimum and interpret its economic or business implication.iii. An innovation was diffused widely among all firms in the market. Adoption of this innovation will help to reduce 20% of the variable cost for any given level of production while all other factors remain the same. A firm needs to pay a fee of $5 to adopt the innovation. Formulate the new production cost functions (TC, TFC, TVC, ATC and MC) for each firm.(Suggested word count: 300-350 words)
- 40 - 2P and its total cost 5. A firm's demand function is Q function is defined as TC = 100 + 2Q + 0.25 Q? . Use these two functions to form the firm's profit function and then determine the level of output that yields the profit maximum. What is the level of profit at the optimum level of output?π 4/ Suppose that the total cost of a firm TC(Q) function =:TC(Q)=75Q+800And the demand function = :P=600-5Qa) Find the level output (Q) that maximizes the profit level (π).b) Find the value of the maximum profit (π).Can you help with this question and show all the step please. Consider a manufacturer making leather cases with a market demand function (weekly) given by P=95-Q/Q+1 +5, where Q is the number of leather cases. (A) Show that this function is consistent with the law of Demand (i.e. that when Q increases, P decreases). (B) The manufacturer has weekly fixed costs of $20 and variable costs of $5 per leather case. Formulate the profit function from this information. (C) Locate the stationary points and determine the optimal Q that maximises the profit. (Use the first derivatives test to classify any stationary point).
