A small town has two bakeries, Acme and Fat Apple. Acme's marginal cost to make a loaf of bread is $1 and Fat Apple's marginal cost is $2. Acme's demand function is given as Q₁ = 14-P₁ -0.5P2 and Fat Apple's demand function is Q2 = 19-0.5P₁ P2 where P₁ (P₂) is Acme (Fat Apple)'s price in dollars per loaf of break and Q₁ (Q2) is measured in thousand loaves of Amce (Fat Apple)'s bread (respectively). Find Nash equilibrium prices. O O O P1 5.5 and P2 -9. P1 = 4.4 and P2-8.2. P15.2 and P2 - 9.2. P110.2 and P2 = 9.2.
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- A small town has two bakeries, Acme and Fat Apple. Acme's marginal cost to make loaf of bread is $1 and Fat Apple's marginal cost is $2. Acme's demand function is given as Q₁ = 14 - P₁ - 0.5P2 and Fat Apple's demand function is Q2 = 19 -0.5P1 - P2 where P₁ (P2) is Acme (Fat Apple)'s price in dollars per loaf of break and Q₁ (Q2) is measured in thousand loaves of Amce (Fat Apple)'s bread (respectively). Find Nash equilibrium prices. O O O P1 = 10.2 and P2 = 9.2. P1 = 5.2 and P2 = 9.2. P1 = 4.4 and P2 = 8.2. P1 = 5.5 and P2 = 9.the 9. You own a bakery and the inverse demand function for your cakes is P = 8 – 1.5Q. If cost of producing cake is C = 0.5Q, determine the profit-maximizing quantity, and the profit-maximizing price.Consider the market for tilapia. Ripple Rock Fish Farms, a small family fishery in Ohio, and The Fishin’ Company, a large corporate supplier, are both producers of tilapia. The marginal cost curves for both firms are shown in the accompanying graph. a. Suppose the market price of tilapia is $2.50 per pound. Move point A to Ripple Rock’s quantity sold. Move point B to The Fishin’ Company’s quantity sold. b. How many pounds of tilapia do they collectively supply?________thousand pounds c. To achieve efficient production, The Fishin’ Company should supply _____ ("more", or "less", or "the same") it is currently producing, and Ripple Rock should supply __________ ("more", or "less", or "the same") it is currently producing.
- The inverse demand for tea is given by P= 10 – 0.04Q, where Pis the price per a gram of tea and Qis the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.01q,?, where qı is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.01q2², where qp is the number of grams of tea it brings to market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number - Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £ NumberQ.5 A firm is making two products A & B. Each unit of A incurs a cost of production to the tune of $150 and that of B incurs a cost of $200. Product A earns a profit of $15/unit and B gets $20/unit. The estimated monthly demand of both A & B is at maximum 500 units. Monthly production budget is set at $50,000.How many units of A & B should the firm make in order to maximize profit. Conduct sensitivity analysis and answer the following questions: 1. State the optimal solution. 2. What is the objective function value? 3. Find out the range of profit for A in the objective function for which the above solution remains optimal. 4. Which constraint/s is/are binding? 5. Interpret the shadow price for production budget.Giocattolo is a profit-maximizing firm producing toy cars, which it can produce and sell in its home country, Italy, and abroad in Spain. The average cost (AC) curve on the following graph represents Giocattolo's cost of producing toy cars within one factory, whether in Italy or in Spain. COST (Dollars per toy car) 10 1 0 10 I 1 20 30 40 50 60 70 80 QUANTITY (Thousands of toy cars) AC 90 100 Suppose that at the current market price of toy cars, the demand for Giocattolo's product is 10,000 toy cars per year in Italy and 20,000 toy cars per year in Spain. (Hint: Select each point on the previous graph to see its coordinates.) (?) Based on Giocattolo's average cost curve, within one factory it can produce 20,000 toy cars at S per toy car, and produce the total of 30,000 toy cars at S per toy car. Complete the following table by indicating Giocattolo's total production cost for each scenario. Total Production Cost (Dollars) Scenario Produce 10,000 toy cars in Italy and 20,000 toy cars in…
- Suppose that a latte can only be produced by using exactly 1 ounce of espresso (E) and 3 ounces of milk (M). What is the firm's cost function if the price of espresso is 0.50 per ounce and the price of milk is 0.10 per ounce? a. C = 4q b. C = 0.8q c. C = 0.4q d. C = 160q e. C = 80qJesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions: p(x) = 60 - 1.20x C(x) = 210 + 12x R(x) = xp(x) = x(60 - 1.20x) Revenue function Price-demand function Cost function where x is in thousands of widgets and C(x) and R(x) are in thousands of dollars. The price p(x) is the price in dollars of one widget when the demand is a thousand widgets. All three functions have domain 1 ≤ x ≤ 50. Use this information to answer questions 1-10 below.The inverse demand for tea is given by P = 8 – 0.03Q, where Pis the price per a gram of tea and Q is the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.02q,?, where q, is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.02q22, where q2 is the number of grams of tea it brings to %3D %3D market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £…
- you are an accountant for a manufacterer of radios. the demand function for the tablets is p= 40-4x2 where x is the number of tablets produced in millions. it costs the company $15 to make a tablet. write an equation for the manufactures profit as a function of the number of tablets produced. the company currently produces 1 million tablets and makes a profit of $21000000, but you would like to scale up production a bit, what greater number of tablets could the company produce to yield the same profitAssume demand is: P = 76 – Q - and total cost is: TC = 20 + Q² What is the quantity that maximizes profit? (type your answer below)Exercise 4.6 An econometrician hired to analyse a local golf course has determined that there are two types of golfers, the regular and the occasional. The annual demand for games from regular players is given by QH = 24 – 0.3P, where P is the price of a round of golf. On the other hand, the annual demand for occasional items is given by QO = 10 – 0.1P. The marginal cost and the average total cost per item are equal to €20. a) If you could distinguish between regular and casual players, what price would be set for each type? How many games would each type of player play? How much profit could the golf course generate? Represent graphically. b) As an alternative to the discrimination of third degree prices, those in charge consider a double tranche rate according to which the members can play as many games as they wish at a price of € 20 per game. How much profit will the golf course generate if it charges all players the same annual fee for becoming a member of the club? What if you…