Output Total Variable Marginal Variable Fixed Total (Q) Fixed Cost Cost Total Cost Cost Cost Cost Cost $0 $500 $200 1 $200 $200 $700 2 $500 $300 $800 $250 $200
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Q: Output Variable Total AVC AFC ATC MC (bоxes) Cost Cost $0 $10 1 $20 $15 3 $69 $3.33 $23 4 $2.50 $27…
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A: please find below the calculation.
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- 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.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)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.
- 1) a) Solve the following inequalities:(i) 5(11 − ?) < ? + 49 (ii) 7? − 3 <10m + 23< 8 − 5m (iii) ?2 ≥ 15 − 2? b) The cost structure for iPhones are as follows, fixed cost of $25 and variable cost perunit of $2. The associated demand function isp = 20 − q .(i) Obtain an expression for the profit, π(q). (ii) Find the range of output which gives a profit of at least $31. c) Use Microsoft Word or Excel to solve the system of linear inequalities:r + 5t ≤ 57t – 2r ≤ 4 r ≥ 0(NB: clearly identify the solution set by placing a BIG enough ‘S’ to coverthat entire region).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.In Autarka there are 9600 people who like to visit an amusement park. Each of theseconsumers wants to visit one park once. The consumers' homes are evenly spaced acrossthe island, and they each suffer a disutility of $24 for each kilometre they travel to reachan amusement park. With their current technology, it costs an amusement park $12 for each customer theyhost. At present, the equilibrium price for an amusement park ticket is $36, and each firmhas a profit of $115,200. This market is best modelled as Hotelling competition. Fixed costs should be neglected. Treat this market as a one-shot game. Do not consider repetition or associated phenomena such as collusion or predatory pricing. Find the profit function for Bernice's Wild Rides. Assuming that Bernice's marginal cost is $12.
- In Autarka there are 9600 people who like to visit an amusement park. Each of theseconsumers wants to visit one park once. The consumers' homes are evenly spaced acrossthe island, and they each suffer a disutility of $24 for each kilometre they travel to reachan amusement park. With their current technology, it costs an amusement park $12 for each customer theyhost. At present, the equilibrium price for an amusement park ticket is $36, and each firmhas a profit of $115,200. This market is best modelled as Hotelling competition. Fixed costs should be neglected. Treat this market as a one-shot game. Do not consider repetition or associated phenomena such as collusion or predatory pricing. Derive an expression for the location of the indifferent consumer. Use PA to represent the price of admission at Alfonso's Wonderland, and PB to represent the price of admission at Bernice's Wild Rides.A toy manufacturer makes miniature trucks. The pricep(in dollar) and the demandx(numberof miniature trucks) are related by the equation 6000−600p=x. The total cost for the sametoy manufacturer to producexminiature trucks can be modeled byC(x) = 8x+ 450.(a) (10 points) Express the pricepin terms of the demandx. Find the revenueR(x) if themanufacturer sellsxminiature trucks in a month and find the domain of this function.(b) (10 points) Graph the cost and revenue functions on the same coordinate system for 0≤x≤6000.(c) (10 points) What is the minimum number of trucks the toy manufacturer must sell tobreak even?(d) (10 points) FindP′(300) and interpret the result.(e) (10 points) What is the exact profit from the sale of the 301stminiature truck?You own a printing firm. Two of yoursenior managers provide you with advice. Thefirst manager states that your company islosing money for every unit that is printed. Tominimize losses, she advises that you reduceyour production levels. The second managerstates that if your firm sells some more units,the price will cover your increase in costs. Inorder to reduce losses, the second managerrecommends that you should increaseproduction. Explain which manager iscorrect and who is offering the correctadvice?
- Explain the roleof costs in pricingdecisions anddescribe how variouscombinations of price,fixed cost, and unitvariable cost affect afirm’s break-even point4. Assess which of the following is true and which is false.A firm’s profit equation is given by π = -100 + 160Q – 20Q2. Therefore,a) The firm’s fixed cost is 100.b) The firm’s fixed cost is 40 and variable cost is 20.c) Marginal profit is Mπ = 160 – 20Q.d) The firm’s profit-maximizing output is Q = 4.e) Marginal profit is Mπ = 160 – 40Q and it is positive for quantities that are lower than theprofit-maximizing quantity.The accompanying table shows a car manufacturer’s total cost of producing cars.a) What is thismanufacturer’s fixed cost?b) For each level of output, calculate the variable cost (VC). For each level of outputexcept zero output, calculate the average variable cost (AVC), average total cost(ATC), and average fixed cost (AFC). What is the minimum-cost output?c) For each level of output, calculate this manufacturer’s marginal cost (MC).d) On one diagram, draw the manufacturer’s AVC, ATC, and MC curves.2. Labor costs represent a large percentage of total costs for many firms. According to data fromthe Bureau of Labor Statistics, U.S. labor costs were up 2.0% in 2019, compared to 2018.a) When labor costs increase, what happens to average total cost and marginal cost?Consider a case in which labor costs are only variable costs and a case in which theyare both variable and fixed costs.An increase in labor productivity means each worker can produce more output. Recent data onproductivity show…
